Behavior of solution set for bilevel generalized mixed equilibrium problems in topological vector spaces  

作　　者：丁协平 

机构地区：[1]College of Mathematics and Software Science, Sichuan Normal University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2014年第7期925-934,共10页应用数学和力学（英文版）

基　　金：Project supported by the Scientific Research Fund of Sichuan Normal University(No.11ZDL01);the Sichuan Province Leading Academic Discipline Project(No.SZD0406)

摘　　要：A new bilevel generalized mixed equilibrium problem （BGMEF） is introduced and studied in topological vector spaces. By using a minimax inequality, the existence of solutions and the behavior of solution set for the BGMEP are studied under quite mild conditions. These results are new and generalize some recent results in this field.A new bilevel generalized mixed equilibrium problem （BGMEF） is introduced and studied in topological vector spaces. By using a minimax inequality, the existence of solutions and the behavior of solution set for the BGMEP are studied under quite mild conditions. These results are new and generalize some recent results in this field.

关 键 词：generalized mixed equilibrium problem （GMEP） bilevel generalized mixedequilibrium problem （BGMEP） MONOTONICITY minimax inequality topological vectorspace 

分 类 号：O189.1[理学—数学]