紧集上锥约束集值平衡问题解的存在性  

The Existence of Solutions for Cone-constrainted Set-valued Equilibrium Problems on a Compact Set

作　　者：庞伟[1] 冯瑜[1] 

机构地区：[1]玉林师范学院数学与信息科学学院,广西玉林537000

出　　处：《玉林师范学院学报》2011年第5期10-12,共3页Journal of Yulin Normal University

基　　金：玉林师范学院青年科研资助项目(集值形式的Ekeland变分原理研究)

摘　　要：平衡问题理论在非线性分析、最优化以及数理经济学等方面都有广泛的应用.本文讨论的是更具意义的锥约束集值平衡问题,并通过集值Ekeland变分原理,证明了紧集上锥约束集值平衡问题解的存在性.There are extensive applications of the theory of equilibrium problems in nonlinear analysis,optimization,mathematical economics and etc.In this paper,a cone-constrained set-valued equilibrium problem with more general form is considered,and by using the Ekeland variational principle for set-valued mapping,the existence of solutions for cone-constrained set-valued equilibrium problems on a compact set is obtained.

关 键 词：锥约束集值平衡问题 集值Ekeland变分原理 紧集 

分 类 号：O174[理学—数学]