期刊导航

论文摘要

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\"{o}lder 连续性

H\"{o}lder continuity of solutions to parametric primal and dual vector mixed quasi-equilibrium problems

作者:叶静妮(福州大学至诚学院);陈丽君(福建农林大学金山学院);黄建华(福州大学数学与计算机科学学院)

Author:YE Jing-Ni(ZhiCheng College, Fuzhou University);CHEN Li-Jun(JinShan College, Fujian Agriculture and Forest University);HUANG Jian-Hua(College of Mathematics and Computer Science, Fuzhou University)

收稿日期:2016-04-14          年卷(期)页码:2016,53(6):1202-1214

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字:H\"{o}lder 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

Key words:H\"{o}lder continuity; parametric primal vector mixed quasi-equilibrium; parametric dual vector mixed quasi-equilibrium

基金项目:省自然科学基金

中文摘要

本文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\"{o}lder 连续性,并且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.

英文摘要

In this paper, following the dual rules for an equilibrium problem, we introduce the corresponding parametric dual vector mixed quasi-equilibrium problem, which is Mix Minty-type parametric dual vector quasi-equilibrium problem. We discuss the H\"{o}lder continuity of the solutions of parametric primal vector mixed quasi-equilibrium problem (PVMQEPi)(i=1,2) and parametric dual vector mixed quasi-equilibrium problem(DVMQEPi)(i=1,2) in general settings and also provide suitable remarks and examples to illustrate our results on by one. Finally, we apply Mixed Minty-type dual vector mixed quasi-equilibrium problems to deal with Mix Minty variational inequality as an application. Our results improve and extend the corresponding results announced by many others.

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