Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 581917, 9 pages
doi:10.1155/2008/581917
Research Article
Generic Well-Posedness for a Class of Equilibrium Problems
Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel
Received 23 December 2007; Accepted 6 March 2008
Academic Editor: Simeon Reich
Copyright © 2008 Alexander J. Zaslavski. 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 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.