Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (6): 618-626.

• Articles • Previous Articles     Next Articles

NONEMPTY INTERSECTION THEOREMS AND SYSTEM OF GENERALIZED VECTOR EQUILIBRIUM PROBLEMS IN PRODUCT G-CONVEX SPACES

DING Xie-ping   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, P. R. China
  • Received:2002-08-29 Revised:2003-12-05 Online:2004-06-18 Published:2004-06-18
  • Supported by:
    the National Natural Science Foundation of China(19871059);the Natural Science Foundation of Education Department of Sichuan Province([2000]25)

Abstract: By using an existence theorems of maximal elements for a family of set-valued mappings in G-convex spaces due to the author, some new nonempty intersection theorems for a family of set-valued mappings were established in noncompact product G-convex spaces. As applications, some equilibrium existence theorems for a system of generalized vector equilibrium problems were proved in noncompact product G-convex spaces. These theorems unify, improve and generalize some important known results in literature.

2010 MSC Number: 

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