Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 945413, 13 pages
doi:10.1155/2011/945413
Research Article

Solving the Set Equilibrium Problems

Yen-Cherng Lin and Hsin-Jung Chen

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

Received 17 September 2010; Accepted 21 November 2010

Academic Editor: Qamrul Hasan Ansari

Copyright © 2011 Yen-Cherng Lin and Hsin-Jung Chen. 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.

Abstract

We study the weak solutions and strong solutions of set equilibrium problems in real Hausdorff topological vector space settings. Several new results of existence for the weak solutions and strong solutions of set equilibrium problems are derived. The new results extend and modify various existence theorems for similar problems.