Generic Well-Posedness for a Class of Equilibrium Problems

We study a class of equilibrium problems which is identified with a complete metric space of functions. For most elements of this space of functions (in the sense of Baire category), we establish that the corresponding equilibrium problem possesses a unique solution and is well-posed.

Bibliographic Details
Main Author: Alexander J. Zaslavski
Format: Article
Language:English
Published: SpringerOpen 2008-04-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/581917
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spelling doaj-d1d4fd6552484ab4be51788ba7a4405a2020-11-25T02:33:35ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-04-01200810.1155/2008/581917Generic Well-Posedness for a Class of Equilibrium ProblemsAlexander J. ZaslavskiWe study a class of equilibrium problems which is identified with a complete metric space of functions. For most elements of this space of functions (in the sense of Baire category), we establish that the corresponding equilibrium problem possesses a unique solution and is well-posed.http://dx.doi.org/10.1155/2008/581917
collection DOAJ
language English
format Article
sources DOAJ
author Alexander J. Zaslavski
spellingShingle Alexander J. Zaslavski
Generic Well-Posedness for a Class of Equilibrium Problems
Journal of Inequalities and Applications
author_facet Alexander J. Zaslavski
author_sort Alexander J. Zaslavski
title Generic Well-Posedness for a Class of Equilibrium Problems
title_short Generic Well-Posedness for a Class of Equilibrium Problems
title_full Generic Well-Posedness for a Class of Equilibrium Problems
title_fullStr Generic Well-Posedness for a Class of Equilibrium Problems
title_full_unstemmed Generic Well-Posedness for a Class of Equilibrium Problems
title_sort generic well-posedness for a class of equilibrium problems
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2008-04-01
description We study a class of equilibrium problems which is identified with a complete metric space of functions. For most elements of this space of functions (in the sense of Baire category), we establish that the corresponding equilibrium problem possesses a unique solution and is well-posed.
url http://dx.doi.org/10.1155/2008/581917
work_keys_str_mv AT alexanderjzaslavski genericwellposednessforaclassofequilibriumproblems
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