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Abstract and Applied Analysis
Volume 2014, Article ID 368098, 6 pages
Research Article

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

College of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu, Sichuan 611130, China

Received 8 February 2014; Accepted 26 April 2014; Published 21 May 2014

Academic Editor: Qing-bang Zhang

Copyright © 2014 Ru-liang Deng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.