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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 419053, 7 pages
Research Article

Well-Posedness for Generalized Set Equilibrium Problems

Department of Occupational Safety and Health, College of Public Health, China Medical University, Taichung 40421, Taiwan

Received 14 July 2013; Accepted 13 September 2013

Academic Editor: Jen-Chih Yao

Copyright © 2013 Yen-Cherng Lin. 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.


We study the well-posedness for generalized set equilibrium problems (GSEP) and propose two types of the well-posed concepts for these problems in topological vector space settings. These kinds of well-posedness arise from some well-posedness in the vector settings. We also study the relationship between these well-posedness concepts and present several criteria for the well-posedness of GSEP. Our results are new or include as special cases recent existing results.