Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (9): 1002-1007.

• Articles • Previous Articles     Next Articles

NONCOMPACT INFINITE OPTIMIZATION AND EQUILIBRIA OF CONSTRAINED GAMES IN GENERALIZED CONVEX SPACES

DING Xie-ping   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, P. R. China
  • Received:1999-04-30 Online:2000-09-18 Published:2000-09-18
  • Supported by:

    the National Natural Science Foundations of China(19871059)

Abstract: 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.

2010 MSC Number: 

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