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;
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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.
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页码:485 / 498
页数:13
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