学术
摘 要:
考虑一类隐式形式多值向量均衡问题的解的存在性，该类问题包含了多值均衡问题、隐式向量均衡问题、多值变分不等式问题、向量变分不等式问题以及向量互补问题作为其特殊情形．利用广义Fan-Browder不动点定理，得到了拓扑向量空间中该类问题解的存要性定理，该结果推广并统一了已有问题解的存在性结果。[著者文摘]
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文章出处:
《应用数学》-2006年19卷4期 -707-714页
分 类 号:
文献标识码:
A
文章编号:
1001-9847（2006）04-0707-08
Existence of Solutions of Implict Multi-valued Vector Equilibrium Problems
CHEN Xiu-hong （ 1. Department of Mathematics, Huaiyin Teacher＇s College, Jiangsu 223001, China ; 2. Department of Computer Science, Nanjing University of Science and Technology, Jiangsu 210094, China）
Abstract:
In this paper, we consider a class of implicit multi-valued vector equilibrium problems, which includes a number of multi-valued equilibrium,implicit vector equilibrium,multi-valued variational inequalities, vector variational inequalities and vector complementarity problems as special cases. By using the generalized form of Fan-Browder fixed point theorem,we establish and prove the existence of their solution of this kind of implicit multi-valued vector equilibrium problems in topological vector spaces. Our results extend and unify some corresponding results of implicit vector equilibrium problems, multi-valued vector variational inequality problems and vector variational inequali- ty problems.[著者文摘]
Key words:
Implicit multi-valued vector equilibrium problems; Q-function; Upper semicontinuity; Cx-h- pseudomonotonicity; V-h- hemicontinuity; Existence theorem
基金资助:
Supported in part by the Natural Science Foundation of Jiangsu High School （03KJB110012） ,Jiangsu Education 0ffice （00KJD110001,01KJD110005）
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