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Generalized constrained multiobjective games in locally FC-uniform spaces

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Abstract

A new class of generalized constrained multiobjective games is introduced and studied in locally FC-uniform spaces without convexity structure where the number of players may be finite or infinite and all payoff functions get their values in an infinite-dimensional space. By using a Himmelberg type fixed point theorem in locally FC-uniform spaces due to author, some existence theorems of weak Pareto equilibria for the generalized constrained multiobjective games are established in locally FC-uniform spaces. These theorems improve, unify and generalize the corresponding results in recent literatures.

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Authors and Affiliations

  1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610066, P. R. China

    Xie-ping Ding

  2. Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 82424, Taiwan, P. R. China

    Chin-san Lee & Jen-chih Yao

  3. Department of Leisure, Recreation and Tourism Management, Shu-Te University, Kaohsiung, 82445, Taiwan, P. R. China

    Chin-san Lee

Authors
  1. Xie-ping Ding
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  2. Chin-san Lee
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  3. Jen-chih Yao
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Correspondence to Xie-ping Ding.

Additional information

Contributed by DING Xie-ping

Project supported by the Natural Science Foundation of Education Department of Sichuan Province of China (No. 07ZA092) and the Foundation of Taiwan Science Council

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Ding, Xp., Lee, Cs. & Yao, Jc. Generalized constrained multiobjective games in locally FC-uniform spaces. Appl. Math. Mech.-Engl. Ed. 29, 301–309 (2008). https://doi.org/10.1007/s10483-008-0303-y

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  • DOI: https://doi.org/10.1007/s10483-008-0303-y

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2000 Mathematics Subject Classification

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