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  • Research Article
  • Open Access

Hybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces

Fixed Point Theory and Applications20092008:583082

https://doi.org/10.1155/2008/583082

  • Received: 2 July 2008
  • Accepted: 23 December 2008
  • Published:

Abstract

The convex feasibility problem (CFP) of finding a point in the nonempty intersection is considered, where is an integer and the 's are assumed to be convex closed subsets of a Banach space . By using hybrid iterative methods, we prove theorems on the strong convergence to a common fixed point for a finite family of relatively nonexpansive mappings. Then, we apply our results for solving convex feasibility problems in Banach spaces.

Keywords

  • Banach Space
  • Iterative Method
  • Differential Geometry
  • Nonexpansive Mapping
  • Computational Biology

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Authors’ Affiliations

(1)
Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, 65000, Thailand

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