On new faster fixed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces

Document Type : Research Paper

Author
Babec s-Bolyai University, Department of Mathematics, Cluj-Napoca, Romania, Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania
Abstract
In this paper we present new iterative algorithms in convex metric spaces. We show that these iterative schemes are convergent to the fixed point of a single-valued contraction operator. Then we make the comparison of their rate of convergence. Additionally, numerical examples for these iteration processes are given.
Keywords

Volume 8, Issue 1
July 2017
Pages 353-388

  • Receive Date 25 April 2017
  • Revise Date 13 May 2017
  • Accept Date 04 June 2017

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