非紧广义凸空间内的拟平衡问题

丁协平

非紧广义凸空间内的拟平衡问题

丁协平

四川师范大学数学系, 成都 610066

基金项目: 国家自然科学基金资助项目(19871059)

详细信息

作者简介:
丁协平(1938~ ),男,教授,已发表论文200余篇,获省部级奖6项.

中图分类号: O176.3;O177.92
计量
- 文章访问数: 2120
- HTML全文浏览量: 94
- PDF下载量: 742
- 被引次数: 0
出版历程
- 收稿日期: 1999-04-02
- 修回日期: 1999-12-12
- 刊出日期: 2000-06-15

Quasi-Equilibrium Problems in Noncompact Generalized Convex Spaces

Ding Xieping

Department of Mathematics, Sichuan Normal University, Chengdu 610066, P R China

摘要

摘要: 利用作者得到的一个新的不动点定理,在非紧广义凸空间内证明了拟平衡问题的几个新的平衡存在性定理.这些定理改进和推广了最近文献中许多已知结果.
- 不动点 /
- 拟平衡问题 /
- 紧局部交性质 /
- 广义凸空间
Abstract: By applying a new fixed point theorem due to the author,some new equilibrium existence theorems of quasi-equilibrium problems are proved in noncompact generalized convex spaces.These theorems improve and generalize a number of important known results in recent literature.
- fixed point /
- quasi-equilibrium problem /
- compactly local intersection property /
- generalized convex space

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参考文献(19)

[1]	Noor M A,Oettli W.On general nonlinear complementarity problems and quasi-equilibria[J].Le Mathmatiche,1994,49(2):313~331.
[2]	Cubiotti P.Existence of solutions for lower semicontinuous quasi-equilibrium problems[J].Comput Math Appl,1995,30(12):11~22.
[3]	Ding Xieping.Existence of solutions for quasi-equilibrium problems[J].J Sichuan Normal Univ,1998,21(6):603~608.
[4]	Lin L J,Park S.On some generalized quasi-equilibrium problems[J].J Math Anal Appl,1998,224(2):167~181.
[5]	Ding Xieping.Generalized variational inequalities and equilibrium problems in generalized convex spaces[J].Comput Math Appl,1999,38(10):189~197.
[6]	Ding Xieping.New H-KKM theorems and their applications to geometric property,coincidence theorems,minimax inequality and maximal elements[J].Indian J Pure Appl Math,1995,26(1):1~19.
[7]	Tian G.Generalization of FKKM theorem and the Ky Fan minimax inequality with applications to maximal elements,price equilibrium and complementarity[J].J Math Anal Appl,1992,170(2):457~471.
[8]	Wu X,Shen S.A further generalization of Yannelis-Prabhakar's continuous selection theorem and its applications[J].J Math Anal Appl,1996,197(1):61~74.
[9]	Park S,Kim H.Coincidence theorems for admissible multifunctions on generalized convex spaces[J].J Math Anal Appl,1996,197(1):173~187.
[10]	Park S,Kim H.Foundations of the KKM theory on generalized convex spaces[J].J Math Anal Appl,1997,209(3):551~571.
[11]	Komiya H.Coincidence theorem and saddle point theorem[J].Proc Amer Math Soc,1986,96(4):599~602.
[12]	Lassonde M.On the use of KKM multifunctions in fixed point theory and related topics[J].J Math Anal Appl,1983,97(1):151~201.
[13]	Horvath C D.Points fixeset coincidences pourles applications multivoques sans convexite[J].C R Acad Sci Paris,1983,296:403~406.
[14]	Horvath C D.Some results on multivalued mappings and inequalities without convexity[A].In:B L Lin,S Simons Eds.Nonlinear and Convex Analysis[C].New York:Dekker,1987,99~106.
[15]	Horvath C D.Contractibility and generalized convexity[J].J Math Anal Appl,1991,156(2):341~357.
[16]	Ding Xieping.Coincidence theorems in topological spaces and their applications[J].Appl Math Lett,1999,12(6):99~105.
[17]	Ding Xieping.A coincidence theorem involving contractible spaces[J].Appl Math Lett,1997,10(3):53~56.
[18]	Ding Xieping.Coincidence theorems involving composites of acyclic mappings in contractible spaces[J].Appl Math Lett,1998,11(2):85~89.
[19]	Chang S S,Lee B S,Wu X,et al.On the generalized quasi-variational inequality problems[J].J Math Anal Appl,1996,203(3):686~711.