Maximal Elements of a Family of Majorized MappingsInvolving a Better Admissible Mapping in Product FC-Spaces and Applications

DING Xie-ping

Volume 27 Issue 12

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(12): 1405-1416

DING Xie-ping. Maximal Elements of a Family of Majorized MappingsInvolving a Better Admissible Mapping in Product FC-Spaces and Applications[J]. Applied Mathematics and Mechanics, 2006, 27(12): 1405-1416.

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Maximal Elements of a Family of Majorized MappingsInvolving a Better Admissible Mapping in Product FC-Spaces and Applications

DING Xie-ping

College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China

Received Date: 2005-04-16
Rev Recd Date: 2006-08-10
Publish Date: 2006-12-15

Abstract

Abstract

A new family of majorized mappings from a topological space into a finite continuous topological space (in short, FC-space) involving a better admissible set-valued mapping was introduced. Some existence theorems of maximal elements for the family of majorized mappings were proved under noncompact setting of product FC-spaces. Some applications to fixed point and system of minimax inequalities were given in product FC-spaces. These theorems improve, unify and generalize many important results in recent literature.

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References

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