Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (5): 499-508.

• Articles •     Next Articles

CONSTRAINED MULTIOBJECTIVE GAMES IN LOCALLY CONVEX H-SPACES

DING Xie-ping   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, P.R.China
  • Received:2001-07-06 Revised:2003-03-07 Online:2003-05-18 Published:2003-05-18
  • Supported by:
    the National Natural Science Foundation of China(19871059); the Natural Science Foundation of Education Department of Sichuan Province([2000]25)

Abstract: A new class of constrained multiobjective games with infinite players in noncompact locally convex H-spaces without linear structure are introduced and studied.By applying a Fan-Glicksberg type fixed point theorem for upper semicontinuous set-valued mappings with closed acyclic values and a maximum theorem,several existence theorems of weighted Nath-equilibria and Pareto equilibria for the constrained multiobjective games are proved in noncompact locally convex H-spaces.These theorems improve,unify and generalize the corresponding results of the multiobjective games in recent literatures.

2010 MSC Number: 

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