Existence conditions for symmetric generalized quasi-variational inclusion problems

Journal of inequalities and applications

Nguyen Van Hung¹ 

关键词: symmetric generalized quasi-variational inclusion problem;    symmetric weak quasi-equilibrium problem;    symmetric strong quasi-equilibrium problem;    Kakutani-Fan-Glicksberg fixed-point theorem;    existence;    closedness;   

DOI  :  10.1186/1029-242X-2013-40

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we establish an existence theorem by using the Kakutani-Fan-Glicksberg fixed-point theorem for a symmetric generalized quasi-variational inclusion problem in real locally convex Hausdorff topological vector spaces. Moreover, the closedness of the solution set for this problem is obtained. As special cases, we also derive the existence results for symmetric weak and strong quasi-equilibrium problems. The results presented in the paper improve and extend the main results in the literature. MSC:90B20, 49J40.

【 授权许可】

CC BY