带上下界均衡问题解的存在性及H?lder连续性  

The Existence and Holder Continuity of Solutions for Equilibrium Problems With Lower and Upper Bounds

作　　者：王月虎[1,2] 

机构地区：[1]南京财经大学应用数学学院,江苏南京210023 [2]南京财经大学管理科学与工程学院,江苏南京210023

出　　处：《数学进展》2016年第5期778-786,共9页Advances in Mathematics（China）

基　　金：国家自然科学基金(No.11071109);江苏省自然科学基金(No.BK20141008);江苏省高校自然科学基金(No.14KJB110007)

摘　　要：本文利用Ekeland变分原理分别在紧集和非紧集上获得了带上下界均衡问题解的存在性定理,从而进一步回答了Isac等人提出的公开问题.此外,还在度量空间中研究了带上下界均衡问题解的局部H?lder连续性.以上所有结果不要求相关映射和集合具有任何凸性.In this paper, we utilize the Ekeland＇s principle to study the existence of solu-tions to equilibrium problems with upper and lower bounds on compact set and non-compact set, respectively. Our results give answers to the open problems introduced by Isac et al. Further-more, the Holder continuity of solution correspondence to this problem is also examined based on the generalized monotonicity. Our results do not involve any convexity with respect to the mappings and their domains.

关 键 词：带上下界均衡问题 EKELAND变分原理 存在性 HOLDER连续性 

分 类 号：O221.2[理学—运筹学与控制论]