Open Access

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

Fixed Point Theory and Applications20042004:829453

DOI: 10.1155/S1687182004310089

Received: 29 October 2003

Published: 3 March 2004


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

Department of Mathematical and Computing Sciences, Tokyo Institute of Technology


© Matsushita and Takahashi 2004