Generalized strict feasibility and solvability for generalized vector equilibrium problem with set-valued map in reflexive Banach spaces

Journal of inequalities and applications

Gang Wang¹ 

关键词: generalized vector equilibrium problem;    nonemptiness and boundedness;    generalized strict feasibility;   

DOI  :  10.1186/1029-242X-2012-66

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, the strict feasibility and solvability of generalized vector equilibrium problem with set-valued mapping in reflexive Banach spaces are considered. By introducing two generalized strict feasibility concepts for generalized vector equilibrium problem, we establish some sufficient conditions to guarantee that the solution set of the generalized vector equilibrium problem is nonempty and bounded provided that it is generalized strictly feasible. MSC: 49K30; 90C29.

【 授权许可】

CC BY