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Nonlinear Analysis
Article . 2008 . Peer-reviewed
License: Elsevier TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 2008
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Fixed points, minimax inequalities and equilibria of noncompact abstract economies in FC -spaces

Fixed points, minimax inequalities and equilibria of noncompact abstract economies in \(FC\)-spaces
Authors: Ding, Xie Ping; Wang, Lei;

Fixed points, minimax inequalities and equilibria of noncompact abstract economies in FC -spaces

Abstract

The authors first present a fixed point theorem in the setting of noncompact \(FC\)-spaces. Then they give several equivalent results to this fixed point theorem. As usual application of such kind of fixed point theorem, the authors derive a minimax theorem. Several maximal element theorems are also presented. Once again, as usual application of the maximal element theorems, several equilibrium existence results for abstract economies are derived.

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Keywords

Noncooperative games, Fixed-point theorems, Optimality conditions for minimax problems, maximal elements, fixed points, abstract economies, \(FC\)-spaces, Applications of operator theory in optimization, convex analysis, mathematical programming, economics, minimax inequalities

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selected citations
These citations are derived from selected sources.
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!
9
Average
Average
Average
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