Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (6): 637-644.

• Articles • Previous Articles     Next Articles

QUASI-EQUILIBRIUM PROBLEMS IN NONCOMPACT GENERALIZED CONVEX SPACES

Ding Xieping   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, P R China
  • Received:1999-04-02 Revised:1999-12-12 Online:2000-06-18 Published:2000-06-18
  • Supported by:
    the National Natural Science Foundation of China(19871059)

Abstract: By applying a new fixed point theorem due to the author, some new equilibrium existence theorems of quasi-equilibrium problems are proved in noncompact generalized convex spaces. These theorems improve and generalize a number of important known results in recent literature.

Key words: fixed point, quasi-equilibrium problem, compactly local intersection property, generalized convex space

2010 MSC Number: 

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