厦门大学数学学院师资队伍
School of Mathematical Sciences Xiamen University
师资队伍

程立新,男,数学科学学院教授、博士生导师,厦门大学陈景润特聘教授。

专业方向为:泛函分析、 凸分析、Banach空间几何 。

1981年毕业于江汉石油学院(现名长江大学)数学师资班。1986年研究生毕业于大庆石油学院(现名东北石油大学)应用数学专业。1995年博士研究生毕业于哈尔滨工业大学数学系。 1997年南开大学陈省身数学研究所所博士后流动站出站。2002年入选教育部跨世纪人才培养计划。曾到美国华盛顿大学数学系等十七个国家和地区三十多所高校和科研机构科研合作和学术访问。主持包括国家自然科学基金重点项目和教育部主要科研项目11项。在国际学术刊物诸如JFA,  IJM等发表文章80多篇。培养博士生33人,硕士生65人, 博士后3人。 曾十多次邀请作国际学术会议和全国性学术会议的大会报告, 例如,在中国数学会学术年会作邀请报告;(第六届和第八届)华人数学家大会作45分钟报告;第七届全国泛函分析大会、非线性分析国际会议暨第20届全国非线性泛函分析大会、第三届新世纪分析学国际会议大会特邀报告; 作为大会报告人(plenary speaker) 分别在 韩国数学会浦项国际数学年会、第五届Banach和函数空间国际会议(ISBFS2015, 日本)、积分和微分方程中的非线性方法(2021MNA,波兰)国际会议上作大会特邀报告等。分别担任(2008年)首届中国数学会和美数学会联合学术年会第十一分会中方主席和 (2010年) 首届中国数学会和韩国数学会联合学术年会泛函分析分会中方co-chair。共主持科学研究项目11项, 包括1项国家自然科学基金重点项目和5项面上项目、1项国际合作基金项目、1项教育部跨世纪优秀人培养计划项目, 2项教育部博士点基金(博导类)项目。2002年入选"教育部跨世纪优秀人才培养计划" 。分别获得福建省科学技术二等奖(2002))和福建省自然科学二等奖(2018)。现任学院学术委员主任,全国泛函分析空间理论学术联络组成员, 中国数学会非线性泛函分析专业委员会委员,。曾任 数学学院教授委员会主任和副院长。 曾担任全国空间理论学术联络组主任,全国泛函分析空间理论和应用泛函分析大会副主席, 国家自然科学基金委员会数理科学部特邀评委,科技部国家自然科学奖会评专家,中国数学会常务理事以及福建省数学会理事长,《数学进展》等六个国际国内数学学术期刊编委, 现任JIAP(不等式及其应用杂志)JOMS(数学研究)编委和《厦门大学学报》副主编。

 

 一.  简历

1967. 9 - 1969.7  河南省正阳县第一小学(学生)

1969. 9 - 1973.1 河南省正阳县第二小学(学生)

1973.3 - 1975. 7 河南省正阳县五七完中(现名为第一初中)学生

1975. 9 - 1977.7 河南省正阳县五七完中(现名为第一高中)学生

1977. 8- 1978. 2 河南省正阳县油坊店公社林场(下乡知青)

1978.2 - 1981. 7 分别为江汉石油学院(现名:长江大学)地质专业(1978. 2 -1979. 1)和数理师资班(1979. 2 -1980.2)、数学师资班(1980.2 - 1981. 7)学生

1981. 7 - 1983. 8 中国石油天然气总公司江汉石油管理局油田建设工程处职工学校教师

1983.9 - 1986. 7 大庆石油学院(现名:东北石油大学)应用数学专业硕士研究生(毕业),师从曾慕蠡教授和陈连昌副教授

1986. 7  在哈尔滨工业大学通过硕士学位论文答辩,获得哈尔滨工业大学硕士学位

1986. 7 - 1988. 11  江汉石油学院(现名 长江大学)基础部讲师

1988. 12 - 1995. 11  江汉石油学院(破格)副教授,基础部副主任

1990. 4 - 1991. 5  华盛顿大学(西雅图)数学系访问学者,访问导师为 R.R. Phelps 教授

1991. 6  获得中国石油天然气总公司“新长征突击手”称号

1993. 10  获得国务院专家特殊津贴

1992. 9 - 1995. 7  哈尔滨工业大学数学系(在职)博士研究生(获得博士学位),师从吴从炘教授

1995. 11 - 1997. 12 南开大学陈省身数学研究所博士后, 合作导师; 史树中教授

1995. 12 - 1997. 12  江汉石油学院教授,基础部副主任

1998. 1 - 现在 分别为厦门大学数学系教授(1998. 1- 2002. 12)、系副主任(2001. 5 - 2002. 12)、 数学科学学院教授 (2003. 1 - 现在)、副院长(2003. 1 - 2013. 1)和厦门大学陈景润特聘教授(2008 - 现在 )

2002. 12  获得福建省科学技术二等奖(独立)

2002. 12 入选教育部跨世纪人才培养计划

2018. 1  主持国家自然科学基金重点项目

2018. 11  获得福建省自然科学二等奖(排名第一)

2019. 10  获得2016-2019年度厦门市优秀教师称号

 

二. 科研项目

(1)  主持的国家自然科学基金项目

1. Banach空间的非线性几何及其应用(2018.1-2022.12),国家自然科学基金重点项目,合作单位清华大学(步尚全),哈尔滨工业大学(薛小平),厦门大学(张文、程庆进),编号:11731010

2. 巴拿赫空间的嵌入理论及其应用(2017.01-2018.12),  国家自然科学基金 (海外及港澳学者合作研究基金 外方主持人 郑本拓 中方合作者 程立新)项目, 编号: 11628102

3. BANACH空间的扰动保距映射和粗保距映射(2014.01-2017.12), 国家自然科学基金(面上)项目,  编号:11371296

4. 无穷维空间的嵌入几何与粗几何(2011.01-2013.12),  国家自然科学基金(面上)项目,  编号:11071201

5. BANACH空间的局部嵌入与粗几何(2008.01-2010.12),  国家自然科学基金(面上)项目,  编号:10771175

6. 中国数学会2009年年会资助申请(2009.01-2009.12),  国家自然科学基金(专项)项目 编号:10926004

7. 无穷维LIPSCHITZ映射的微分分析与HAMILTON-JACOBI 方程( 2005.1-2007.12),  国家自然科学基金(面上)项目  编号: 10471114

8. 无穷维空间的分析结构和随机度量的理论方法(2001.01--2003.12),  国家自然科学基金(面上)项目  编号:10071063

(2) 主持的教育部科研基金项目

9. 扰动保度量映射和粗保度量映射的存在稳定性(2014.01-2.16.12),  教育部博士点基金(博导类),  编号:20130121110032

10.  BANACH空间的局部嵌入与粗几何 (2008.01-2010.12),  教育部博士点基金(博导类),  编号:20070384046

11.  教育部跨世纪优秀人才培养计划项目 (2002.01-2004.12)

 

三. 主要作品 

 

[81]  Lixin Cheng, Jianjian Wang, Banach spaces which are isometric to subspaces of c_0, Acta Math. Sin. (accepted)

[80]  Xiaoling Chen, Lixin Cheng, Wen Zhang, Stability and w*-stabilty of epsilon-isometries, Results in Math. (accepted) 

[79]  Lixin Cheng, Zheming Zheng, A set-valued extension of the Mazur-Ulam theorem, Studia Math. ( accepted).

[78]  Ehmet Ablet, Xiaoling Chen, Lixin Cheng, Quanqing Fang, Zheming Zheng, On measure of noncompactness and application to attractors of operator semigroups, Quaest. Math. 44 (2021), no.1, 73-88.  47H09 (46B50, 47H10 )

[77]  Lixin Cheng, Wuyi He, Pelczyñski's property V for spaces of compact operators, Positivity (2021). https://doi.org/10.1007/s11117-020-00805-2.

[76]  Lixin Cheng, Sijie Luo, On order preserving and order reversing mappings defined on cones of convex functions,  Sci. China. Math.  https://doi.org/10.1007/s11425-018-1707-x

[75]  Lixin Cheng, Zheming Zheng,  A convex set valued version of the Mazur-Ulam theorem, J. Math. Anal. Appl. 498 (2021), no. 1, 124932

[74]  Lixin Cheng, Qingjin Cheng, Jianjian Wang, On absolute uniform retracts, uniform approximation property and super weakly compact convex sets of Banach spaces, Acta Math. Sin. (Eng. Ser.) ,published on line Jan 15, 2021. https://doi.org/10.1007/s10114--021-0273-1

[73]  程立新, 程庆进, Banach空间的超弱紧集合(综述),厦门大学学报(自然科学报), 第60卷 第2期,2021年3月. 英文格式:Super weakly compact sets of Banach spaces, J. Xiamen University (Natural Sci.), Vol. 60, no. 2.

[72]  Lixin Cheng, Mikio Kato, Wen Zhang, A survey of ball-covering property of Banach spaces, 67-84, In :" The Mathematical Legacy of Victor Lomonosov, Operator Theory, In:  Advances in Analysis and Geometry, 2 " Edited by: Richard  M. Aron, Eva A Gallado Gutierriz, Miguel Martin, Dmitry Ryaboginllya M.  Spitkowsky, Artem Zvavitch, De Gruyter 2020. DOI: https//doi.org/10.1515/9783110656756

[71]  程立新,Banach空间的保度量(等距)映射 (综述), 中国科学: 数学 2020年  第50卷  第12期: 1667-1694. 英文格式  Lixin  Cheng, Perturbed metric-preserving mappings of Banach spaces (in Chinese), Sci.Sin. Math. 2020, 50: 1667-1694, doi: 10.1360/SSM-2020-185. 

[70]  Lixin Cheng, Quanqing Fang, Mikio Kato, Longfa Sun, Classification of epsilon-isometries by stability, Pure Appl. Funct. Anal. 5 (2020),  no.3, 555-577.

[69]  Lixin Cheng, Yunbai Dong, A note on the stability of epsilon-isometries of Banach spaces, Proc. Amer. Math. Soc. 148 (2020), no. 11, 1837-1844.

[68]  Lixin Cheng, Qingjin Cheng, Kangkang Xu, Wen Zhang, Zheming Zheng, A Bishop-Phelps-Bollobas theorem for Asplund operators, Acta Math. Sin. (Eng. Ser.) 36 (2020), no.7, 765-782. 

[67] Lixin Cheng,  Quanqing  Fang,  Sijie Luo,  Longfa Sun, On non-surjective coarse isometries between Banach spaces. Quaest. Math. 42 (2019), no. 3, 347–362. (Reviewer: Johann Langemets) 46B04 (46A20, 46B20, 47A58)

[66] Lixin  Cheng, Longfa Sun,  Stability characterizations of ϵ -isometries on certain Banach spaces,  Acta Math. Sin. (Engl. Ser.) 35 (2019), no. 1, 123–134. 46B04 (46A20, 46B20, 47A58)

[65] Lixin Cheng,  Longfa Sun,  On the symmetrization of ε -isometries of Banach spaces. (Russian) Funktsional. Anal. i Prilozhen. 53 (2019), no. 1, 93–97; translation in Funct. Anal. Appl. 53 (2019), no. 1, 74–77. (Reviewer: Juan Benigno Seoane Sepulavida)46B04

[64]  Ehmet Ablet,  Lixin  Cheng,  Qingjin Cheng,  Wen Zhang, Every Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure, Sci. China Math. 62 (2019), no. 1, 147–156. (A corrected proof: Sci. China Math. 62 (2019), no.10, 2053 - 2056 ) (Reviewer: Supaluk Phothi)47H08 (46B04,46B42, 46B50)  

[63]  Cheng, Lixin; Cheng, Qingjin; Luo, Sijie, Tu, Kun; Zhang, Jichao,   On super weak compactness  of subsets and equivalences in Banach spaces, Journal of Convex Analysis, 25: 3 (2018), no.3, 899–926. (Reviewer: Ioannis Gasparis) 46B20 (46B03, 46B50)

[62] Cheng, Lixin; Luo, Sijie, Yet on linear structures of norm attaining functionals on Asplund spaces, Acta Math Sci. Ser. B (Engl. Ed.) 38(2018) no.1, 151-156 (Reviewer: Daniele Puglisi) 46B25 (46B42, 46E15)

[61]  Cheng , Lixin; Cheng,  Qingjin; Shen,  Qinrui ;  Tu, Kun;  Zhang,  Wen   A new approach to measures of noncompactness of Banach spaces, Studia Math. no. 1, 21–45. (Reviewer: Marianna Tavernise) 47H08 (46B04, 46B42, 46B50)

[60]  Cheng, Lixin,  On stability of perturbed metric-preserved mappings on Banach spaces (A survey), Proceedings of the Sixth International  Congress of Chinese Mathemticians, Vol.II, 377-386, Adv. Lect. Math. (ALM) 37,  Int. Press,  Somerville,  MA, 2017.  (Reviewer: Juan Benigno Seoane Sepulavida) 46B04 (26E25, 47H14)
 

[59] Cheng, Lixin; Shen, Qinrui; Zhang, Wen, Zhou, Yu  More on stability of almost surjective ε-isometries of Banach spaces, Sci. China Math, 60(2017), no.2,  277-284. 46B04 (46B20, 47A58 )

[58] Cheng, Li Xin; Lin, Li Hua; Zhou, Xian Geng; Statistical convergence and measure convergence generated by a single statistical measure. Acta Math. Sin. (Engl. Ser.) 32 (2016),  no. 6, 668–682. 409A35 (46B20, 46B42, 46E20, 54A20)
 

[57]  Cheng, Li Xin; Luo, Zheng Hua; Zhang, Wen; Zheng, Ben Tuo;  On proximinality of convex sets in superspaces. Acta Math. Sin. (Engl. Ser.) 32 (2016), no. 6, 633–64. (Reviewer: S. Cobzas) 46B20 (41A65, 46B04,  52A07, 58C20)

[56] Cheng, Lixin; Tu, Kun; Zhang, Wen  On weak stability of ε-isometries on wedges and its applications. J. Math. Anal. Appl. 433 (2016), no. 2, 1673–1689. 39B82 (46B03)

[55] Cheng, Lixin; Cheng, Qingjin; Tu, Kun; Zhang, Jichao  A universal theorem for stability of ε-isometries of Banach spaces. J. Funct. Anal. 269 (2015), no. 1, 199–214. Corrigendum: J. Funct. Anal. 279 (2020), no.1, 108518. (Reviewer: Walden Fredman) 46B04 (46B20)

[54] Cheng, Lixin; Cheng, Qingjin; Zhang, Jichao  On super fixed point property and super weak compactness of convex subsets in Banach spaces. J. Math. Anal. Appl. 428 (2015), no. 2, 1209–122. 47H10.

[53] Cheng, Lixin;  Zhou, Yu,   Approximation by DC Functions and Application to Representation of a Normed Semigroup, J. Convex Anal. 21(2014), no. 3, 651-661. (Reviewer: Aris Daniilidis) 41A30 (41A65)

[52] Cheng, Lixin;  Dai, Duanxu; Dong, Yunbai; Zhou, Yu, Universal stability of Banach spaces for  ɛ-isometries, Studia Math. 221(2014), 141-149. (Rreviewer: Xiuzhong Yang) 46B04

[51]  Cheng, Lixin,  Zhou, Yu,  On perturbed metric-preserved mappings and their stability characterizations, J. Funct. Anal. 266(8) (2014), 4995-5015. (Reviewer: Yunbai Dong) 46B20 (46B04)

[50] Bao,  Ling Xin; Cheng,  Li Xin;  Cheng, Qing Jin; Dai, Duan Xu  On universally left-stability of ɛ-isometry, Acta Math.  Sin.,  Engl. Ser.  29 ( 2013),  no. 11,  2037-2046. (Reviewer: Yunbai Dong) 46B20

[49] Bao, Lingxin; Cheng, Lixin  On statistical measure theory. J. Math. Anal. Appl. 407 (2013), no. 2, 413–424. (Reviewer: Cihan Orhan)  40A35 (28A12 40G15). 
 
[48] Cheng, Lixin; Luo, Zhenghua; Zhou, Yu  On super weakly compact convex sets and representation of the dual of the normed semigroup they generate. Canad. Math. Bull. 56 (2013), no. 2, 272–282. (Reviewer: Anatolij M. Plichko) 46B20 (46A55 46B50). 
  
[47] Cheng, Lixin; Dai, Duanxu; Dong, Yunbai  A sharp operator version of the Bishop-Phelps theorem for operators from ℓ 1   to CL-spaces. Proc. Amer. Math. Soc. 141 (2013), no. 3, 867–872. (Reviewer: Şafak Ömer Alpay) 46B28 (46B25 47B37). 
 

[46] Cheng, Lixin; Dong, Yunbai; Zhang, Wen  On stability of nonlinear non-surjective ε -isometries of Banach spaces. J. Funct. Anal. 264 (2013), no. 3, 713–734. (Reviewer: Guimei An) 46B04 (47B65). 
  

[45] Cheng, Li Xin; Dong, Yun Bai  A quantitative version of the Bishop-Phelps theorem for operators in Hilbert spaces. Acta Math. Sin. (Engl. Ser.) 28 (2012), no. 10, 2107–2114. (Reviewer: Alexey S. Tikhonov) 47A55 (46A32 47B15) .

[44] Chen, Lizhen; Cheng, Lixin Analytic characterizations of Mazur's intersection property via convex functions. J. Funct. Anal. 262 (2012), no. 11, 4731–4745. (Reviewer: Patrick N. Dowling) 46B20. 
 

[43] Cheng, Lixin; Zhou, Yu On approximation by Δ -convex polyhedron support functions and the dual of cc(X)  and wcc(X) . J. Convex Anal. 19 (2012), no. 1, 201–212. (Reviewer: Libor Veselý) 41A65 (46A20) .

[42] Cheng, Lixin A functional view of Lebesgue integration. Acta Anal. Funct. Appl. 13 (2011), no. 4, 349–350, 391. 26A42 (26-01) .
 

[41] Cheng, Lixin Erratum to: Ball-covering property of Banach spaces [MR2282371]. Israel J. Math. 184 (2011), 505–507. 46B20. 
 

[40] Cheng, Lixin; Dong, Yunbai On a generalized Mazur-Ulam question: extension of isometries between unit spheres of Banach spaces. J. Math. Anal. Appl. 377 (2011), no. 2, 464–470. (Reviewer: Bentuo Zheng) 46B03 (46B04 46B20). 
 
[39] Cheng, Lixin; Wang, Bo; Zhang, Wen; Zhou, Yu Some geometric and topological properties of Banach spaces via ball coverings. J. Math. Anal. Appl. 377 (2011), no. 2, 874–880. (Reviewer: Miguel Martín) 46B20. 
 

[38] Cheng, Lixin; Shi, Huihua A functional characterization of measures and the Banach-Ulam problem. J. Math. Anal. Appl. 374 (2011), no. 2, 558–565. (Reviewer: Richard Becker) 28A33 (28A12). 
 

[37] Cheng, Lixin; Cheng, Qingjin; Luo, Zhenghua On some new characterizations of weakly compact sets in Banach spaces. Studia Math. 201 (2010), no. 2, 155–166. (Reviewer: Marián Fabian) 46B20 (58C20). 
 

[36] Cheng, Lixin; Cheng, Qingjin More on convexity and smoothness of operators. J. Math. Anal. Appl. 371 (2010), no. 2, 407–413. (Reviewer: Sebastián Lajara) 46B20 (47B10) .
 

[35] Cheng, Lixin; Cheng, Qingjin; Wang, Bo; Zhang, Wen On super-weakly compact sets and uniformly convexifiable sets. Studia Math. 199 (2010), no. 2, 145–169. (Reviewer: Vicente Montesinos Santalucía) 46B20 (46B03 46B50). 
 

[34] Cheng, Lixin; Kadets, Vladimir; Wang, Bo; Zhang, Wen A note on ball-covering property of Banach spaces. J. Math. Anal. Appl. 371 (2010), no. 1, 249–253. 46B20. 
 

[33] Cheng, Li Xin; Luo, Zheng Hua; Liu, Xue Fang; Zhang, Wen Several remarks on ball-coverings of normed spaces. Acta Math. Sin. (Engl. Ser.) 26 (2010), no. 9, 1667–1672. (Reviewer: Jesús García-Falset) 46B20 (46B03).  

[32] Cheng, LiXin; Shi, HuiHua; Zhang, Wen Every Banach space with a w ∗  -separable dual has a 1+ε -equivalent norm with the ball covering property. Sci. China Ser. A 52 (2009), no. 9, 1869–1874. (Reviewer: Vicente Montesinos Santalucía) 46B03 (41A65 46B20). 
 

[31] Cheng, Lixin; Lin, Guochen; Shi, Huihua On real-valued measures of statistical type and their applications to statistical convergence. Math. Comput. Modelling 50 (2009), no. 1-2, 116–122. (Reviewer: Cihan Orhan) 28A33 (40G15 46B15) .
 

[30] Cheng, Lixin; Cheng, Qingjin; Shi, Huihua Minimal ball-coverings in Banach spaces and their application. Studia Math. 192 (2009), no. 1, 15–27. (Reviewer: Miguel Martín) 46B04 (46B03 46B20) .
 

[29] Cheng, Lixin; Zhang, Wen A note on non-support points, negligible sets, Gâteaux differentiability and Lipschitz embeddings. J. Math. Anal. Appl. 350 (2009), no. 2, 531–536. 46B20 (46G05 49J50) .
 

[28] Cheng, LiXin; Lin, GuoChen; Lan, YongYi; Liu, Hui Measure theory of statistical convergence. Sci. China Ser. A 51 (2008), no. 12, 2285–2303. (Reviewer: Surjit Singh Khurana) 60B05 (28B99 40G99 46G99 46N30).

[27] Cheng, Li Xin; Liu, Xiao Yan; Zuo, Mai Fang A linear perturbed Palais-Smale condition for lower semicontinuous functions on Banach spaces. Acta Math. Sin. (Engl. Ser.) 24 (2008), no. 11, 1853–1860. (Reviewer: Raffaella Servadei) 46G05 (47J30 49J45 58E05) .
 

[26] Cheng, LiXin; Cheng, QingJin; Liu, XiaoYan Ball-covering property of Banach spaces that is not preserved under linear isomorphisms. Sci. China Ser. A 51 (2008), no. 1, 143–147. (Reviewer: Henryk Hudzik) 46B20 (46B03).


[25] Cheng, Li-Xin; Li, Min Extreme points, exposed points, differentiability points in CL-spaces. Proc. Amer. Math. Soc. 136 (2008), no. 7, 2445–2451. (Reviewer: Warren B. Moors) 46B20 (46G05). 
 

[24] Cheng, Li Xin; Teng, Yan Mei Certain subsets on which every bounded convex function is continuous. Acta Math. Sin. (Engl. Ser.) 23 (2007), no. 6, 1063–1066. (Reviewer: Ion Raşa) 26E15 (26B25 46B20 46G99) .
 

[23] Chen, Shaoxiong; Cheng, Linxin; Fabian, Marián Approximation of convex functions in Asplund generated spaces. J. Nonlinear Convex Anal. 8 (2007), no. 1, 81–85. (Reviewer: John R. Giles) 46B22 (41A65). 

[22] Cheng, Lixin Ball-covering property of Banach spaces. Israel J. Math. 156 (2006), 111–123. (Reviewer: Marián Fabian) 46B20.

[21] Cheng, Linxin; Chen, Shaoxiong  Smooth approximation of convex functions in Banach spaces. J. Math. Anal. Appl. 313 (2006), no. 2, 572–580. (Reviewer: Marián Fabian).

[20] Cheng, Lixin; Teng, Yanmei Differentiability of convex functions on sublinear topological spaces and variational principles in locally convex spaces. Chinese Ann. Math. Ser. B 26 (2005), no. 4, 611–632. (Reviewer: Jesús Ferrer) 49J50 (26E15 46B20 46G05 46N10 49J53) .
 

[19] Borwein, Jonathan; Cheng, Lixin; Fabian, Marián; Revalski, Julian P.  A one perturbation variational principle and applications. Set-Valued Anal. 12 (2004), no. 1-2, 49–60. (Reviewer: John R. Giles) 49J53 (46B20 46G05 49J40 49J50) .
 

[18] Cheng, Lixin; Teng, Yanmei A strong optimization theorem in locally convex spaces. Chinese Ann. Math. Ser. B 24 (2003), no. 3, 395–402. (Reviewer: Mircea Balaj) 49J50 (46G05 46N10 90C48) .

[17] Cheng, Lixin; Ruan, Yingbin; Teng, Yanmei Approximation of convex functions on the dual of Banach spaces. J. Approx. Theory 116 (2002), no. 1, 126–140. (Reviewer: J. Borwein) 46B20 (41A65 46G99) .
 

[16] Cheng, Lixin; Fabian, Marián The product of a Gateaux differentiability space and a separable space is a Gateaux differentiability space. Proc. Amer. Math. Soc. 129 (2001), no. 12, 3539–3541. (Reviewer: Warren B. Moors) 46B20 (46G05 58C20) .
 

[15] Cheng, Li-xin On the p -Asplund space of a Banach space. Acta Anal. Funct. Appl. 3 (2001), no. 2, 120–128. (Reviewer: Javier Gómez Gil) 46G05 (46B22).

[14]  Cheng, Li-xin Differentiability property and perturbed optimization or variational principle in locally convex spaces. Acta Anal. Funct. Appl. 1 (1999), no. 3, 231–244. (Reviewer: Jörg Thierfelder) 49K40 (49J53 90C31 90C46). 

[13] Cheng, Lixin; Wu, Congxin; Xue, Xiaoping; Yao, Xiaobo Convex functions, subdifferentiability and renormings. Acta Math. Sinica (N.S.) 14 (1998), no. 1, 47–56. (Reviewer: A. B. Németh) 46N10 (46B03 46B20 49J52 52A05 54C60).
 

[12] Lixin, Cheng; Shuzhong, Shi; Bingwu, Wang; Lee, E. S. Generic Fréchet differentiability of convex functions dominated by a lower semicontinuous convex function. J. Math. Anal. Appl. 225 (1998), no. 2, 389–400. (Reviewer: Nikolay V. Zhivkov) 49J50 (46G05 58C20).
  

[11] Cheng, Lixin; Shi, Shuzhong; Lee, E. S. Generic Fréchet differentiability of convex functions on non-Asplund spaces. J. Math. Anal. Appl. 214 (1997), no. 2, 367–377. 46G05 (46B22 49J50).

[10] Wu, Congxin; Cheng, Lixin; Ha, Minghu; Lee, E. S. Convexification of nonconvex functions and application to minimum and maximum principles for nonconvex sets. Comput. Math. Appl. 31 (1996), no. 7, 27–36. (Reviewer: Li Xin Cheng) 46N10 (46B10 49J50 49K27) .
 

[9] Cheng, Li Xin; Zhou, Yunchi; Zhang, Fong Danes' drop theorem in locally convex spaces. Proc. Amer. Math. Soc. 124 (1996), no. 12, 3699–3702. (Reviewer: John R. Giles) 46A55 (46B20). 
 

[8] Cheng, Li Xin; Zhang, Feng Differentiability of convex functions and Asplund spaces. Acta Math. Sci. (English Ed.) 15 (1995), no. 2, 171–179. (Reviewer: John R. Giles) 46G05 (46B20 49J50).
 

[7] Wu, Cong Xin; Cheng, Li Xin Some characterizations of differentiability of convex functions on small set. Fasc. Math. No. 25 (1995), 187–196. (Reviewer: Nikolay V. Zhivkov) 49J50 (46N10 58C20).
 

[6] Wu, Cong Xin; Cheng, Li Xin Extensions of the Preiss differentiability theorem. J. Funct. Anal. 124 (1994), no. 1, 112–118. (Reviewer: Marcin Studniarski) 46G05 (46N10 49J52) .
 

[5] Wu, Cong Xin; Cheng, Li Xin A note on the differentiability of convex functions. Proc. Amer. Math. Soc. 121 (1994), no. 4, 1057–1062. (Reviewer: Javier Gómez Gil) 46G05 (49J50). 

 
[4]  Cheng, Li Xin; Li, Jian Hua; Nan, Chao Xun The Gateaux and Fréchet differentiability of continuous gauge functions on a Banach space.  Adv. in Math. (China) 20 (1991), no. 3, 326–334.

[3] Cheng, Li Xin; Chen, Lian Chang; Wei, Wen Zhan Eigenfunctions, and convexity moduli and smooth moduli of Banach spaces.  J. Math.  10 (1990), no. 3,

[2] Cheng, Li Xin Two remarks on smoothness of Banach spaces.  J. Math. Res. Exposition 9 (1989), no. 2, 315–316. 46B20 
 

[1] Cheng, Li Xin; Chen, Lian Chang Comment: "L p  -orthogonality in Banach spaces'' [J. Math. Res. Exposition 4 (1984), no. 4, 31–35; MR0805889 (87d:46022)] by Z. Liu. (Chinese) J. Math. Res. Exposition 7 (1987), no. 1, 175–176. 46B20 
  

 四. 学生培养

1999级 (1999.9--2002.7)     博士生    滕岩梅

2000级 (2000.9--2003.7)     博士生    阮颖彬               

                                                        硕士生    陈晓锋 罗正华 沈喜生

2001级 (2001.9--2004.7)     博士生   陈绍雄

                                                    

2002级 (2002.9--2005.7)           硕士生   付瑞瑜 骆道忠 谢元福 叶宏波

2003级(2003.9--2006.7)     博士生   沈喜生

                                                       硕士生   蓝永艺 卢允照 施慧华 张Xiao晶 陈 彬

2004级(2004.9--2007.7)     博士生   程庆进

                                                       硕士生   李 敏 林丽华 刘小燕 刘雪芳 柳 辉  王 波 

                                                                 杨国志 张 敏 周仙耕 左麦芳

2005级(2005.9--2008.7)    博士生  林国琛 张 文 张云南

                                                       硕士生  王 琨(2006.9--2008.7)

2006级(2006.9--2009.7)    博士生  罗正华 施慧华

                                                       硕士生  金翠华 王 琨 杨晓颍 张 洁 周 宇

2007级(2007.9--2010.7)    博士生  王 波

                                                       硕士生  鲍玲鑫 李艺珍 许康康

2008级(2008.9--2011.7)    博士生  董云柏

                                                       硕士生  戴端旭(直攻博) 李青霞(2014) 尹文明(2014) 张 晟  张小凤

2009级(2009.9--2012.7)    博士生  陈丽珍 周宇

                                                      硕士生  陈 婷 涂 昆 徐 佳 周田虎

2010级(2010.9--2013.7)    博士生  鲍玲鑫

                                                      硕士生   陈 波 陈婉贞 陈 颖

2011级 (2011.9--2014. 9)       博士生    戴端旭

                                                     硕士生   方权清(直攻博) 吴泽浩

2012级(2012.9--2015. 7)         博士生   涂 昆    张吉超

                                                     硕士生   高绍阳 罗思捷(直攻博) 孙晓梅 王见见

2013级 (2013.9--2016.12)       博士生   沈钦锐

                                                          硕士生   苏丽丽  卫 倩  

2014级(2014.9 -- 2018. 7)       博士生  方权清   罗思捷  孙龙发

2014级 (2014. 9--2017. 7)            硕士生  林  霞    沈思思

2015级(2015.9--2019.7)           博士生  艾合买提. 阿不来提  

                                                           硕士生   陈炯阳  何五一

自2016级起,博士生由导师组集体指导,导师组成员为 程立新(组长),程庆进,张 文

2016级(2016.9--)                       博士生 王见见  许康康 郑哲明   

2016级(2016. 9 -- 2019. 7)           硕士生  龚 琳    黄昌池

 

2017级(2017.9--)                 博士生  陈俊兮 陈晓玲 孙玉奇

                                                      硕士生 黄 田   李景洋 李真  毛伟豪 王如霞 余拯志

 

2018级(2018.9--)                 博士生 何五一

                                                      硕士生  杨亚金

2019级(2019.9--)                 博士生 黄昌池 毛伟豪

 

2020级(2020.9--)                 博士生  余志拯

                                                      硕士生  黄伟琅 刘楚蕾

          

 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

    博士后    陈东阳 (2005--2007)    伊继金 (2010--2014)   蓝永艺(2014--2018)

 

    访问学者  吴祝宁 (2001--2002)   黄欢 (2018--2019)

 

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

    本科生    (2005届)    赖龙生   王焰金

                  (2007届)     程秋盛   李 茂     李艺珍 沈钦锐

                  (2008届)     陈建聪   刘晓力   秦 丹   张 晟

                  (2009届)     孙 晨     游 佳     周琛子

                  (2010届)     党 珏     阮 洁     周晓雪

                  (2011届)     吕龙祥   吕卓易   谭 帅

                  (2012届)     潘英通   许雨顺   叶其乐

                  (2016届)     贺    颖    姚犁云

                  (2017届)     胡志芳    赵  馨

                    (2018级)     刘江灿

                  (2019级)    汪星宇

                  (2020级)    刘翰林  刘思怡  刘琰

                  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

本科拔尖班人才计划

                 (2017届)      胡志芳      赵  馨

                 (2019届)      陈泽宇     徐天航

                 (2018级)      刘江灿

                 (2019级)      汪星宇

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

中学英才计划  (2015-2016) 陈家祺  陈静远  易世铭   

 

 

 
 
 
简介
 
系别:
数学与应用数学系
办公室:物机数学615
教师:程立新
职称:教授
职务:教师
Phone:2580666
Email:
lxcheng@xmu.edu.cn
研究方向:
泛函分析,凸分析,Banach 空间几何, 无穷维非线性几何