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zbMATH Open
Article . 1996
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Publicationes Mathematicae Debrecen
Article . 1996 . Peer-reviewed
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The existence of maximal elements and equilibria in Frechet spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1996Publisher:University of Debrecen/ Debreceni EgyetemJournal:Publicationes Mathematicae Debrecen, volume 49, pages 231-242 (issn: 0033-3883, Copyright policy )
Authors: Mehta, G.; Tan, K.-K.; Yuan, X.-Z.;

doi: 10.5486/pmd.1996.1640

The existence of maximal elements and equilibria in Frechet spaces

Abstract

Summary: We first give some existence theorems of maximal elements of condensing correspondences. Then two existence theorems of equilibria of abstract economies (resp., generalized games) are derived by maximal element theorems in Frechet spaces. Finally, a fixed point theorem is proved which improves the corresponding results of Barbolla, Gale and Mas-Colell, Florenzano.

Keywords

fixed point, Frechet space, selection theorem, General equilibrium theory, condensing mappings, Set-valued operators, equilibrium point, Set-valued maps in general topology

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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