Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (7): 639-646.

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QUASI-VARIATIONAL INEQUALITIES AND SOCIAL EQUILIBRIUM

Ding Xie-ping   

  1. Sichuan Normal University, Chengdu
  • Received:1990-09-14 Online:1991-07-18 Published:1991-07-18

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

Key words: topological vector space, minimax inequality, generalized quasi-variational inequality, optimization problem, social equilibria

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