Constrained multiobjective games in locally convex<Emphasis Type="Italic">H</Emphasis>-spaces |
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Authors: | Ding Xie-ping |
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Institution: | (1) Department of Mathematics, Sichuan Normal University, 610066 Chengdu, P.R. China |
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Abstract: | A new class of constrained multiobjective games with infinite players in noncompact locally convex H-spaces without linear
structure are introduced and studied. By applying a Fan-Glicksberg type fixed point theorem for upper semicontinuous set-valued
mappings with closed acyclic values and a maximum theorem, several existence theorems of weighted Nath-equilibria and Pareto
equilibria for the constrained multiobjective games are proved in noncompact locally convex H-spaces. These theorems improve,
unify and generalize the corresponding results of the multiobjective games in recent literatures.
Contributed by Ding Xie-ping
Foundation items: the National Natural Science Foundation of China (19871059); the Natural Science Foundation of Education Department of Sichuan
Province (2000]25)
Biography: Ding Xie-ping (1938-) |
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Keywords: | constrained multiobjective game maximum theorem fixed point weighted Nash-equilibria Pareto equilibria locally convexH-space |
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