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Noncompact infinite optimization and equilibria of constrained games in generalized convex spaces

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Abstract

By applying a new existence theorem of quasi-equilibrium problems due to the author, some existence theorems of solutions for noncompact infinite optimization problems and noncompact constrained game problems are proved in generalized convex spaces without linear structure. These theorems improve and generalize a number of important results in recent literature.

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Authors and Affiliations

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

    Ding Xie-ping Professor

Authors
  1. Ding Xie-ping Professor
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Additional information

Paper from DING Xie-ping, Member of Editorial Committee, AMM

Foundation item: the National Natural Science Foundations of China (19871059)

Biography: DING Xie-ping (1938∼)

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Xie-ping, D. Noncompact infinite optimization and equilibria of constrained games in generalized convex spaces. Appl Math Mech 21, 1002–1007 (2000). https://doi.org/10.1007/BF02459309

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  • DOI: https://doi.org/10.1007/BF02459309

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