Maximal Elements and Generalized Games Involving Condensing Mappings in Locally FC-Uniform Spaces and Applications(Ⅰ)

DING Xie-ping

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DING Xie-ping. Maximal Elements and Generalized Games Involving Condensing Mappings in Locally FC-Uniform Spaces and Applications(Ⅰ)[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1392-1399.

Citation:

DING Xie-ping. Maximal Elements and Generalized Games Involving Condensing Mappings in Locally FC-Uniform Spaces and Applications(Ⅰ)[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1392-1399.

Citation:

DING Xie-ping. Maximal Elements and Generalized Games Involving Condensing Mappings in Locally FC-Uniform Spaces and Applications(Ⅰ)[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1392-1399.

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Maximal Elements and Generalized Games Involving Condensing Mappings in Locally FC-Uniform Spaces and Applications(Ⅰ)

DING Xie-ping

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

Received Date: 2007-03-21
Rev Recd Date: 2007-10-27
Publish Date: 2007-12-15

Abstract

Abstract

First, the notions of the measure of noncompactness and condensing set-valued mappings were introduced in locally FC-uniform spaces without convexity structure. A new existence theorem of maximal elements of a family of set-valued mappings involving condensing mappings was proved in locally FC-uniform spaces. As applications, some new equilibrium existence theorems of generalized game involving condensing mappings were established in locally FC-uniform spaces. These results improve and generalize some known results in literature to locally FC-uniform spaces. Some further applications of the results to the systems of generalized vector quasi-equilibrium problems will be given in a follow-up paper.
- condensing set-valued mapping,
- maximal element,
- generalized game,
- equilibrium,
- locally FC-uniform spaces

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References(28)

References

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