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  • Research Article
  • Open Access

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

Fixed Point Theory and Applications20042004:829453

https://doi.org/10.1155/S1687182004310089

  • Received: 29 October 2003
  • Published:

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.

Authors’ Affiliations

(1)
Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, Tokyo 152-8552, Japan

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