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Constrained multiobjective games in locally convexH-spaces

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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.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan Normal University, 610066, Chengdu, P.R. China

    Ding Xie-ping Professor

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  1. Ding Xie-ping Professor
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Additional information

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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Ding, Xp. Constrained multiobjective games in locally convexH-spaces. Appl Math Mech 24, 499–508 (2003). https://doi.org/10.1007/BF02435861

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  • DOI: https://doi.org/10.1007/BF02435861

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