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