DING Xie-ping. Noncompact Infinite of Optimization and Equilibria of Constrained Games in Generalized Convex Spaces[J]. Applied Mathematics and Mechanics, 2000, 21(9): 903-908.
Citation: DING Xie-ping. Noncompact Infinite of Optimization and Equilibria of Constrained Games in Generalized Convex Spaces[J]. Applied Mathematics and Mechanics, 2000, 21(9): 903-908.

Noncompact Infinite of Optimization and Equilibria of Constrained Games in Generalized Convex Spaces

  • Received Date: 1999-04-30
  • Publish Date: 2000-09-15
  • By applying a new existence theorem of quasi-equilibrium problems due to the author, some existence theorems of solutions for noncompact infinite optimization problems and noncompact constrained game problems are proved in generalized convex spaces without linear structure.These theorems improve and generalize a number of important results in recent literature.
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  • [1]
    Karczynski T, Zeidan V. An application of Ky-Fan fixed point theorem to an optimization problem[J]. Nonlinear Anal TMA,1989,13(3):259-261.
    [2]
    Park S, Park J A. The Idzik type quasivariational inequalities and noncompact optimization problem[J]. Colloqium Math,1996,71(2):287-295.
    [3]
    丁协平. 拟变分不等式和社会平衡[J]. 应用数学和力学,1991,12(7):599-604.
    [4]
    Ding Xieping. Generalized quasivariational inequality, optimization and equilibrium existence problems[J]. J Sichuan Normal Univ,1998,21(1):1-5.
    [5]
    Aubin J P, Ekeland I. Applied Nonlinear Analysis[M]. New York: John Wiley & Sons,1984.
    [6]
    Yuan X Z, Isac G, Tan K K, Yu J. The study of minimax inequalities, abstract economics and applications to variational inequalities and Nash equilibria[J]. Acta Applic Math,1998,54(1):135-166.
    [7]
    Park S, Kim H. Coincidence theorems for addmissible multifunctions on generalized convex spaces[J]. J Math Anal Appl,1996,197(1):173-187.
    [8]
    Park S, Kim H. Foundations of the KKM theory on generalized convex spaces[J]. J Math Anal Appl,1997,209(3):551-571.
    [9]
    Tan K K. G-KKM theorem, minima inequalities and saddle pints[J]. Nonlinear Anal TMA,1997,30(7):4151-4160.
    [10]
    丁协平. 非紧广义凸空间内的拟平衡问题[J]. 应用数学和力学,2000,21(6):578-584.
    [11]
    Ding Xieping. Existence of solutions for quasi-equilibrium problems[J]. J Sichuan Normal Univ,1998,21(6):603-608.
    [12]
    Cubiotti P. Existence of solutions for lower semicontinuous quasi-equilibrium problems[J]. Computers Math Applic,1995,30(12):11-22.
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