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Applied Mathematics and Mechanics

, Volume 24, Issue 6, pp 659–672 | Cite as

Maximal elements forG B-majorized mappings in productG-convex spaces and applications (I)

  • Ding Xie-ping
Article

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.

Key words

maximal element family ofGB-majorized mappings productG-convex space 

Chinese Library Classification

O177.92 

2000 MR Subject Classification

49J53 91B50 

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Ding Xie-ping
    • 1
  1. 1.Department of MathematicsSichuan Normal UniversityChengduP. R. China

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