Existence-stability theorems for strong vector set-valued equilibrium problems in reflexive Banach spaces

Journal of inequalities and applications

Gang Wang¹ 

关键词: strong vector set-valued equilibrium problems;    nonemptiness and boundedness;    stability analysis;    49K30;    90C29;   

DOI  :  10.1186/s13660-015-0760-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we develop existence and stability theorems for strong vector set-valued equilibrium problems in reflexive Banach spaces. Based on asymptotic cone theory, we present the equivalent characterizations on the nonemptiness and boundedness of the solution set for strong vector set-valued equilibrium problems. Furthermore, stability results are established for strong vector set-valued equilibrium problems, when both the mapping and the constraint set are perturbed by different parameters.

【 授权许可】

CC BY