On well-posedness of generalized equilibrium problems involving -monotone bifunction

Document Type : Research Paper

Authors

1 Department of Mathematics, University of Mazandaran, Babolsar, Iran

2 Department of Mathematics, University of Mazandaran, P.O.Box 47416-1468, Babolsar, Iran

Abstract

The aim of this paper is to establish some uniqueness and well-posedness results for a general inequality of equilibrium problems type involving  -monotone bifunction, whose solution is sought in a subset K of a Banach space X. Some metric character- izations and sucient conditions for these types of well-posedness are obtained. Moreover, we prove that the well-posedness of gen- eralized equilibrium problems is equivalent to the existence and uniqueness of its solution.

Keywords


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