Ding Xie-ping. Quasi-Variationai Inequalities and Social Equilibrium[J]. Applied Mathematics and Mechanics, 1991, 12(7): 599-606.
Citation: Ding Xie-ping. Quasi-Variationai Inequalities and Social Equilibrium[J]. Applied Mathematics and Mechanics, 1991, 12(7): 599-606.

Quasi-Variationai Inequalities and Social Equilibrium

  • Received Date: 1990-09-14
  • Publish Date: 1991-07-15
  • 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.
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  • [1]
    Zhou,J.X.,and G.Chen,Diagonal convexity conditions for problems in convex analysis and quasi-variational inequalities,J.Math.Anal.Appl.,132(1988),213-225.
    [2]
    Aubin,J.P.and I.Ekeland,Applied Nonlinear Analysis,Wiley,New York(1984).
    [3]
    Fan.K,Fixed-point and minimax theorems in locally convex topological linear spaces,Proc.Natn.Acad.Sci.USA,38(1952),121-126.
    [4]
    Kaczynski,T.and V.Zeidan,An application of Ky-Fan fixed point theorem to an optimization problem,Nonlinear Anal.TMA,13,3(1989),259-261.
    [5]
    Shih,M.H.and K.K.Tan,Covering theorems of convex sets related to fixed-point theorems,Nonlinear and Convex Analysis,Marcel Dekker,Inc.New York(1987),235-244.
    [6]
    Ding,X.P.and K.K.Tan,A minimax inequality with applications to existence of equilibrium point and fixed point theorems(submitted).
    [7]
    Ding,X.P,Generalized variational inequalities and generalized quasi-variational inequalities II,J.Sichuan Normal Univ.,2(1990),6-14.
    [8]
    Rudin,W.,Functional Analysis,McGraw-Hill,New York(1973).
    [9]
    Kelley,J.,General Topology,Van Nostrand,Princeton,New Jersey(1955).
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