Halpern–Ishikawa type iterative method for approximating fixed points of non-self pseudocontractive mappings

Habtu Zegeye, Abebe Regassa Tufa

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1 Citation (Scopus)

Abstract

In this paper, we define a Halpern–Ishikawa type iterative method for approximating a fixed point of a Lipschitz pseudocontractive non-self mapping T in a real Hilbert space settings and prove strong convergence result of the iterative method to a fixed point of T under some mild conditions. We give a numerical example to support our results. Our results improve and generalize most of the results that have been proved for this important class of nonlinear mappings.

Original languageEnglish
Article number15
JournalFixed Point Theory and Applications
Volume2018
Issue number1
DOIs
Publication statusPublished - Dec 1 2018

All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Applied Mathematics

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