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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 587-589On Equilibrium for Abstract Economies in...

On Equilibrium for Abstract Economies in GFC-Spaces

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Abstract:

In this paper, the GFC-KKM mapping is introduced and GFC-KKM theorems are established in GFC-spaces. As applications, a fixed point theorem and maximal element theorem are obtained. Our results unify, improve and generalize some known results in recent reference. Finally, equilibrium existence theorems for qualitative games and abstract economies are yielded in GFC-spaces.

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Periodical:

Applied Mechanics and Materials (Volumes 587-589)

Pages:

2279-2284

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.587-589.2279

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Online since:

July 2014

Authors:

Kai Ting Wen, He Rui Li

Keywords:

Abstract Economy, Equilibrium, Fixed Point, GFC-KKM Mapping, GFC-Space

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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