On Vector Quasi-Equilibrium Problems with Set-Valued Maps

被引：0

作者：

S. H. Hou

H. Yu

G. Y. Chen

机构：

[1] Hong Kong Polytechnic University,Department of Applied Mathematics

[2] Institute of Systems Science,Chinese Academy of Sciences

来源：

Journal of Optimization Theory and Applications | 2003年 / 119卷

关键词：

Vector quasi-equilibrium problems; set-valued maps; lower sections; C-diagonal quasiconvexity; continuous selection; fixed points;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we introduce a new class of vector quasi-equilibrium problems with set-valued maps. Almost all the vector equilibrium models of the Blum-Oettli type in the literature are special cases of our new class of equilibrium problems under consideration. Moreover, a number of C-diagonal quasiconvexity properties are proposed for set-valued maps, which are natural generalizations of the γ-diagonal quasiconvexity for real functions. Together with an application of continuous selection and fixed-point theorems, these conditions enable us to prove unified existence results of solutions for such vector equilibrium problems.

引用

页码：485 / 498

页数：13

共 27 条

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