A fixed point theorem with application to abstract economy

C. H. Huang; L. J. Chu

A fixed point theorem with application to abstract economy

C. H. Huang, L. J. Chu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

This paper provides an extension of the classical general equilibrium model to the setting of l.c.-spaces, which are infinite dimensional topological spaces without linear structure. By using a KKM theorem, we establish a general fixed point theorem. As an application, we derive a new existence theorem of equilibria for abstract economies involving We-majorized set-valued mappings.

Original language	English
Pages (from-to)	177-184
Number of pages	8
Journal	Journal of Nonlinear and Convex Analysis
Volume	17
Issue number	1
Publication status	Published - 2016

Keywords

Equilibrium
KKM theorem
L.C.-space
u-majorized mapping

ASJC Scopus subject areas

Analysis
Geometry and Topology
Control and Optimization
Applied Mathematics

Cite this

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abstract = "This paper provides an extension of the classical general equilibrium model to the setting of l.c.-spaces, which are infinite dimensional topological spaces without linear structure. By using a KKM theorem, we establish a general fixed point theorem. As an application, we derive a new existence theorem of equilibria for abstract economies involving We-majorized set-valued mappings.",

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AB - This paper provides an extension of the classical general equilibrium model to the setting of l.c.-spaces, which are infinite dimensional topological spaces without linear structure. By using a KKM theorem, we establish a general fixed point theorem. As an application, we derive a new existence theorem of equilibria for abstract economies involving We-majorized set-valued mappings.

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KW - KKM theorem

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KW - u-majorized mapping

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A fixed point theorem with application to abstract economy

Abstract

Keywords

ASJC Scopus subject areas

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