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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

Alexander J. Zaslavski

Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel

Received 23 December 2007; Accepted 6 March 2008

Recommended by Simeon Reich

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.