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Block Iterative Methods for a Finite Family of Relatively Nonexpansive Mappings in Banach Spaces

Block Iterative Methods for a Finite Family of Relatively Nonexpansive Mappings in Banach Spaces

Abstract Using the convex combination based on Bregman distances due to Censor and Reich, we define an operator from a given family of relatively nonexpansive mappings in a Banach space. We first prove that the fixed-point set of this operator is identical to the set of all common fixed points …