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Generalized vector quasi-equilibrium problems in locally G-convex spaces

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Abstract

Some classes of generalized vector quasi-equilibrium problems (in short, GVQEP) are introduced and studied in locally G-convex spaces which includes most of generalized vector equilibrium problems, generalized vector variational inequality problems, quasi-equilibrium problems and quasi-variational inequality problems as special cases. First, an equilibrium existence theorem for one person games is proved in locally G-convex spaces. As applications, some new existence theorems of solutions for the GVQEP are established in noncompact locally G-convex spaces. These results and argument methods are new and completely different from that in recent literature.

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Authors and Affiliations

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

    Ding Xie-ping (Professor)

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  1. Ding Xie-ping
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Correspondence to Ding Xie-ping.

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Contributed by DING Xie-ping

Project supported by the Natural Science Foundation of Educational Department of Sichuan Province (No. 2003 A081, SZD0406)

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Xie-ping, D. Generalized vector quasi-equilibrium problems in locally G-convex spaces. Appl Math Mech 26, 563–570 (2005). https://doi.org/10.1007/BF02466329

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  • DOI: https://doi.org/10.1007/BF02466329

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Chinese Library Classification

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2000 Mathematics Subject Classification

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