含参原始向量混合拟均衡问题和含参对偶向量混合拟均衡问题解的H?lder连续性（英文）

H?lder continuity of solutions for parametric primal and dual vector mixed quasi-equilibrium problems

本文首先将对偶法则应用于均衡问题,提出了含参对偶向量混合拟均衡问题,即混合Minty-type含参对偶向量混合拟均衡问题;其次在更一般的集合上研究含参原始向量混合拟均衡问题(PVMQEPi)(i=1,2)和含参对偶向量混合拟均衡问题(DVMQEPi)(i=1,2)解的H?lder连续性,并用适当的注和例子来逐一说明各个定理的结果;最后,将混合Minty-type含参对偶向量混合拟均衡问题应用于Minty-type变分不等式.本文的结论是对其他作者的研究工作的推广和改进.

In this paper, following the dual rule for equilibrium problems, we introduce the correspond- ing parametric dual vector mixed quasi-equilibrium problem, which is mix Minty-type parametric dual vector quasi-equilibrium problem. We discuss the HOlder continuity of the solutions of parametric primal vector mixed quasi-equilibrium problem （PVMQEPi）（i=1,2） and parametric dual vector mixed quasi-e- quilibrium problem（DVMQEPi）（i=1,2） in general settings and also provide suitable remarks and exam- ples to illustrate our results on by one. Finally, we apply mixed Minty-type dual vector mixed quasi-e- quilibrium problems to deal with mix Minty variational inequality. Our results improve and extend the corresponding results announced by many others.