Picard Iteration Converges faster than Noor Iteration for a Class of Quasi-Contractive Operators


AKBULUT S., ÖZDEMİR M.

CHIANG MAI JOURNAL OF SCIENCE, vol.39, no.4, pp.688-692, 2012 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 39 Issue: 4
  • Publication Date: 2012
  • Journal Name: CHIANG MAI JOURNAL OF SCIENCE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.688-692
  • Ataturk University Affiliated: Yes

Abstract

The purpose of this paper is to introduce that Noor (three-step) iteration converges strongly to fixed point in the class of quasi-contractive operators satisfying Zamfirescu's conditions and to show that the Picard iteration converges faster than the Noor iteration.