Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems

Document Type : Research Paper

Authors
Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.
Abstract
In this paper we propose and studied a new composite iterative scheme with certain control conditions for viscosity approximation for a zero of accretive operator and fixed points problems in a reflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequence $\{x_n\}$ defined by the new introduced iterative sequence is proved. The main results improve and complement the corresponding results of [1, 4, 10].
Keywords

Volume 4, Issue 2 - Serial Number 2
October 2013
Pages 53-61

  • Receive Date 27 June 2012
  • Revise Date 21 April 2013
  • Accept Date 28 May 2013

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