Applied Mathematics and Mechanics

, Volume 12, Issue 7, pp 639–646 | Cite as

Quasi-variational inequalities and social equilibrium

  • Ding Xie-ping
Article

Abstract

A quasi-variational inequality is proved in paracompact setting which generalizes the results of Zhou Chen and Aubin. As applications, two existence theorems on the solutions of optimization problems and social equilibria of metagames are showed which improve and extend the recent results of Kaczynski-Zeidan and Aubin.

Key words

topological vector space minimax inequality generalized quasivariational inequality optimization problem social equilibria 

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Copyright information

© Shanghai University of Technology 1991

Authors and Affiliations

  • Ding Xie-ping
    • 1
  1. 1.Sichuan Normal UniversityChengdu

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