On the existence and essential components of solution sets for systems of generalized quasi-variational relation problems

Journal of inequalities and applications

Nguyen Van Hung¹ 

关键词: system quasi-variational relation problems;    existence;    essential components;    system quasi-variational inclusion problems;    system vector quasi-equilibrium problems;   

DOI  :  10.1186/1029-242X-2014-250

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the existence of a solution for a system of quasi-variational relation problems (in short, (SQVR)). Moreover, we discuss the existence of essentially connected components of the solution set for (SQVR). Then the obtained results are applied to systems of quasi-variational inclusions and to systems of weak vector quasi-equilibrium problems. The results presented in the paper improve and extend many results from the literature. Some examples are given to illustrate our results. MSC:47J20, 49J40.

【 授权许可】

CC BY