Sensitivity analysis for generalized quasi-variational relation problems in locally G -convex spaces

Fixexd point theory and applications

Nguyen Van Hung¹ 

[1] Department of Mathematics, Dong Thap University, Cao Lanh City, Vietnam

关键词: generalized quasi-variational relation problems;    G-convex spaces;    Kakutani-Fan-Glicksberg fixed-point theorem;    quasiconvexity;    existence;    closedness;    upper semicontinuity;    compactness;   

DOI  :  10.1186/1687-1812-2012-158

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study generalized quasi-variational relation problems in locally G-convex spaces. Using the Kakutani-Fan-Glicksberg fixed-point theorem for upper semicontinuous set-valued mapping with nonempty closed acyclic values, we establish an existence theorem of a solution set for these problems. Moreover, the stability and closedness of the solution set for these problems are also obtained. The results presented in the paper improve and extend the main results in the literature. MSC:47J20, 49J40.

【 授权许可】

CC BY