ON A KIND OF GENERALIZED QUASI-VARIATIONAL INEQUALITIES AND FAN's MINIMAX INEQUALITY WITHOUT CONVEXITY

ON A KIND OF GENERALIZED QUASI-VARIATIONAL INEQUALITIES AND FAN's MINIMAX INEQUALITY WITHOUT CONVEXITY

导出

摘要 This Paper gives a Fan’s type minimax theorem, a nearest point theorem and two existence theorems of solutions for a kind of generalized quasi-variational inequalities in H-spaces without any linear structure.

作者 SHENZIFEI WUXIAN

机构地区 DepartmentofMathematics DepartmentofMathematics

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2001年第3期337-342,共6页 数学年刊（B辑英文版）

基金 the Foundation of the Technology Commission of Zhejiang Province, China.(No.19990500), the National Natural Science Foundation

关键词 Locally convex H-space H-convex set Acyclic set Almost upper semi- continuous multivalued mapping 拟变分不等式凸性非循环序集线性结构

分类号 O178 [理学—基础数学]

引文网络
相关文献

参考文献7

1Wu X，数学进展，1998年，27卷，324页
2Chu L J，J Math Anal Appl，1996年，201卷，103页
3Park S，Proc Am Math Soc，1994年，121卷，429页
4Chaug S S，J Math Anal Appl，1991年，158卷，10页
5Chang S S，Theory Variationa line quality Complementarity problem with applications，1991年
6Fan K，Inequalities.3，1972年，103页
7Fan K，Math Zeitschriften，1969年，112卷，234页

1郑喜印,温忠粦.MINIMAX THEOREM AND SADDLE POINT THEOREM WITHOUT LINEAR STRUCTURE[J].Applied Mathematics and Mechanics(English Edition),1998,19(4):375-380.
2张石生,张宪.A General Topological Version of Minimax Theorem[J].Applied Mathematics and Mechanics(English Edition),1995,16(7):623-633.
3张昌斌,李岱.Generalized Quasi-Variational Inequalities on Paracompact Sets[J].Chinese Quarterly Journal of Mathematics,1998,13(3):81-85.
4曾六川.Generalized Bi quasi variational Inequalities in Locally Convex Topological Vector Spaces[J].Chinese Quarterly Journal of Mathematics,1999,14(3):43-53.
5张石生,饶玲.SOME GENERALIZATIONS OF GENERALIZED BI-QUASI-VARIATIONAL INEQUALITIES[J].Applied Mathematics and Mechanics(English Edition),1992,13(7):597-605.
6丁协平.GENERALIZATIONS OF GENERALIZED BI-QUASI-VARIATIONAL INEQUALITIES[J].Acta Mathematica Scientia,1994,14(3):252-260.
7丁体明.Sensitivity analysis for generalized parametric implicit quasi-variational inequalities[J].Journal of Chongqing University,2004,3(2):74-76.
8丁协平,2何诣然.BEST APPROXIMATION THEOREM FOR SET-VALUED MAPPINGSWITHOUT CONVEX VELUES AND CONTINUITY[J].Applied Mathematics and Mechanics(English Edition),1998,19(9):831-836.
9LIU Hongxia (Department of Mathematics, Jinan University, Guangzhou 510632, China) PAN Tao (Department of Mathematics and Information Science, Guangxi University, Nanning 530004, China).ASYMPTOTIC STABILITY OF VISCOUS SHOCK PROFILE FOR NON-CONVEX SYSTEM OF ONE-DIMENSIONAL VISCOELASTIC MATERIALS WITH BOUNDARY EFFECT[J].Journal of Systems Science & Complexity,2001,14(4):425-437.
10杨泽恒,熊明.A Topological Minimax Theorem Involving Two Functions[J].Journal of Mathematical Research and Exposition,2009,29(6):1082-1088.

Chinese Annals of Mathematics,Series B

2001年第3期

浏览历史

内容加载中请稍等...

ON A KIND OF GENERALIZED QUASI-VARIATIONAL INEQUALITIES AND FAN's MINIMAX INEQUALITY WITHOUT CONVEXITY

参考文献7

相关作者

相关机构

相关主题

浏览历史