Mann iteration process for monotone nonexpansive mappings

Buthinah Abdullatif Bin Dehaish, Mohamed Amine Khamsi

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

Abstract

Let (X,∥⋅∥) be a Banach space. Let C be a nonempty, bounded, closed, and convex subset of X and T: C → C be a monotone nonexpansive mapping. In this paper, it is shown that a technique of Mann which is defined by (Formula Presented.) is fruitful in finding a fixed point of monotone nonexpansive mappings.

Original languageBritish English
Article number177
JournalFixed Point Theory and Applications
Volume2015
Issue number1
DOIs
StatePublished - 30 Dec 2015

Keywords

  • fixed point
  • Mann iteration process
  • nonexpansive mapping
  • uniformly convex Banach space
  • uniformly Lipschitzian mapping

Fingerprint

Dive into the research topics of 'Mann iteration process for monotone nonexpansive mappings'. Together they form a unique fingerprint.

Cite this