Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 581917, 9 pages
Research Article

Generic Well-Posedness for a Class of Equilibrium Problems

Alexander J. Zaslavski

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.


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.