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

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QUASI-VARIATIONAL INEQUALITIES AND SOCIAL EQUILIBRIUM

丁协平   

  1. Sichuan Normal University, Chengdu
  • 收稿日期:1990-09-14 出版日期:1991-07-18 发布日期:1991-07-18

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

摘要: 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.

关键词: topological vector space, minimax inequality, generalized quasi-variational inequality, optimization problem, social equilibria

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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