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Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces

Abstract

We first introduce an iterative sequence for finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized projection. We apply these results to the convex feasibility problem and a proximal-type algorithm for monotone operators in Banach spaces.

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Correspondence to Shin-ya Matsushita.

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Matsushita, S., Takahashi, W. Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces. Fixed Point Theory Appl 2004, 829453 (2004). https://doi.org/10.1155/S1687182004310089

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