Levitin-Polyak Well-Posedness of an Equilibrium-Like Problem in Banach Spaces

The concept of Levitin-Polyak well-posedness of an equilibrium-like problem in Banach spaces is introduced. Under suitable conditions, some characterizations of its Levitin-Polyak well-posedness are established. Some conditions under which an equilibrium-like problem in Banach spaces is Levitin-Poly...

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Main Author: Ru-liang Deng
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/368098
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author Ru-liang Deng
author_facet Ru-liang Deng
author_sort Ru-liang Deng
collection DOAJ
description The concept of Levitin-Polyak well-posedness of an equilibrium-like problem in Banach spaces is introduced. Under suitable conditions, some characterizations of its Levitin-Polyak well-posedness are established. Some conditions under which an equilibrium-like problem in Banach spaces is Levitin-Polyak well-posed are also derived.
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publishDate 2014-01-01
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series Abstract and Applied Analysis
spelling doaj-art-dfbb6c42ac0949349aadc230d9c78b0d2025-08-20T02:21:07ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/368098368098Levitin-Polyak Well-Posedness of an Equilibrium-Like Problem in Banach SpacesRu-liang Deng0College of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, Sichuan 611130, ChinaThe concept of Levitin-Polyak well-posedness of an equilibrium-like problem in Banach spaces is introduced. Under suitable conditions, some characterizations of its Levitin-Polyak well-posedness are established. Some conditions under which an equilibrium-like problem in Banach spaces is Levitin-Polyak well-posed are also derived.http://dx.doi.org/10.1155/2014/368098
spellingShingle Ru-liang Deng
Levitin-Polyak Well-Posedness of an Equilibrium-Like Problem in Banach Spaces
Abstract and Applied Analysis
title Levitin-Polyak Well-Posedness of an Equilibrium-Like Problem in Banach Spaces
title_full Levitin-Polyak Well-Posedness of an Equilibrium-Like Problem in Banach Spaces
title_fullStr Levitin-Polyak Well-Posedness of an Equilibrium-Like Problem in Banach Spaces
title_full_unstemmed Levitin-Polyak Well-Posedness of an Equilibrium-Like Problem in Banach Spaces
title_short Levitin-Polyak Well-Posedness of an Equilibrium-Like Problem in Banach Spaces
title_sort levitin polyak well posedness of an equilibrium like problem in banach spaces
url http://dx.doi.org/10.1155/2014/368098
work_keys_str_mv AT ruliangdeng levitinpolyakwellposednessofanequilibriumlikeprobleminbanachspaces