Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (6): 659-672.

• Articles • Previous Articles     Next Articles

MAXIMAL ELEMENTS FOR GB-MAJORIZED MAPPINGS IN PRODUCT G-CONVEX SPACES AND APPLICATIONS (Ⅰ)

DING Xie-ping   

  1. Department of Mathematics, Sichuan Normal University, Chengdu 610066, P. R. China
  • Received:2002-01-19 Revised:2003-02-19 Online:2003-06-18 Published:2003-06-18
  • Supported by:
    the National Natural Science Foundation of China(19871059);the Natural Science Foundation of Education Department of Sichuan Province of China([2000]25)

Abstract: A new family of set-valued mappings from a topological space into generalized convex spaces was introduced and studied. By using the continuous partition of unity theorem and Brouwer fixed point theorem, several existence theorems of maximal elements for the family of set-valued mappings were proved under noncompact setting of product generalized convex spaces. These theorems improve, unify and generalize many important results in recent literature.

2010 MSC Number: 

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