拓扑矢量空间内一类新的双水平广义混合平衡问题解的存在性（英文）  

Existence of Solutions for a New Class of Bilevel Generalized Mixed Equilibrium Problems in Topological Vector Spaces

作　　者：丁协平[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2015年第3期317-325,共9页Journal of Sichuan Normal University（Natural Science）

基　　金：supported by the Natural Science Key Foundation of Ministry of Education in Sichuan Province(SZD0406)~~

摘　　要：在拓扑矢量空间内引入和研究了一类新的双水平广义混合平衡问题.使用一极小极大不等式,在相当温和的条件下,对这类双水平广义混合平衡问题建立了解的存在性定理和讨论了解集性质.这些结果是新的,并推广了这一领域的某些最近结果.A new class of bilevel generalized mixed equilibrium problems 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 bilevel generalized mixed equilibrium problems are established under quite mild conditions.These results are new and generalize some recent results in this field.

关 键 词：双水平广义混合平衡问题 双水平广义混合矢量似变分不等式问题 极小极大不等式 拓扑矢量空间 

分 类 号：O177.92[理学—数学]