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

作　　者：叶静妮[1] 陈丽君[2] 黄建华[3] YE Jing-Ni CHEN Li-Jun HUANG Jian-Hua(ZhiCheng College, Fuzhou University, Fuzhou 350002, China JinShan College, Fujian Agriculture and Forest University, Fuzhou 350002, China College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350002, China)

机构地区：[1]福州大学至诚学院,福州350002 [2]福建农林大学金山学院,福州350002 [3]福州大学数学与计算机学院,福州350002

出　　处：《四川大学学报（自然科学版）》2016年第6期1202-1214,共13页Journal of Sichuan University(Natural Science Edition)

基　　金：福建省中青年教师教育科研项目基金(JA13363,JA14365);福建省自然科学基金(2014J01008)

摘　　要：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.

关 键 词：HOELDER连续性 含参原始向量混合拟均衡 含参对偶向量混合拟均衡 

分 类 号：O177.91[理学—数学]