Solving nonlinear phi-strongly accretive operator equations by a one-step-two-mappings iterative scheme

Khan S. H., GÜNDÜZ B., Akbulut S.

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, vol.8, no.5, pp.837-846, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 5
  • Publication Date: 2015
  • Journal Name: JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.837-846
  • Erzincan Binali Yildirim University Affiliated: Yes

Abstract

A solution of nonlinear phi-strongly accretive operator equations is found in this paper by using a one-step-two-mappings iterative scheme in arbitrary real Banach spaces. We give an example to validate our main theorem. Our results are different from those of Khan et. al., [S. H. Khan, A. Rafiq, N. Hussain, Fixed Point Theory Appl., 2012 (2012), 10 pages] in view of different and independent iterative schemes in the sense that none reduces to the other but extend and improve the results of Ding [X. P. Ding, Computers Math. Appl., 33 (1997), 75-82] and many others. (C) 2015 All rights reserved.