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

Khan S. H., Gunduz B., AKBULUT S.

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, cilt.8, sa.5, ss.837-846, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 5
  • Basım Tarihi: 2015
  • Dergi Adı: JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.837-846
  • Atatürk Üniversitesi Adresli: Evet

Özet

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.