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A weak convergence theorem for relatively nonexpansive mappings and maximal monotone operators in a Banach space

A weak convergence theorem for relatively nonexpansive mappings and maximal monotone operators in a Banach space

In this paper, using the idea of Mann's iteration, we prove a weak convergence theorem for finding a common element of the fixed point sets of two relatively nonexpansive mappings and the zero point set of a maximal monotone operator in a Banach space.We apply this result to get well-known …