Skip to main navigation Skip to search Skip to main content

On monotone pointwise contractions in Banach spaces with a graph

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

In this work, we give a new definition of G-monotone pointwise contraction mappings in metric spaces endowed with a graph. Then we obtain sufficient conditions for the existence of a fixed point for such mappings. The proofs are based on the crucial inequality (GK).

Original languageEnglish
Article number139
JournalFixed Point Theory and Algorithms for Sciences and Engineering
Volume2015
Issue number1
DOIs
StatePublished - 13 Dec 2015

Bibliographical note

Publisher Copyright:
© 2015, Alfuraidan.

Keywords

  • Opial property
  • approximate fixed point sequence
  • fixed point
  • graph
  • monotone mapping
  • pointwise contraction

ASJC Scopus subject areas

  • Geometry and Topology
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'On monotone pointwise contractions in Banach spaces with a graph'. Together they form a unique fingerprint.

Cite this