Almost monotone contractions on weighted graphs

Monther R. Alfuraidan, Mostafa Bachar, Mohamed A. Khamsi

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


Almost contraction mappings were introduced as an extension to the contraction mappings for which the conclusion of the Banach contraction principle (BCP in short) holds. In this paper, the concept of monotone almost contractions defined on a weighted graph is introduced. Then a fixed point theorem for such mappings is given.

Original languageBritish English
Pages (from-to)5189-5195
Number of pages7
JournalJournal of Nonlinear Science and Applications
Issue number8
StatePublished - 2016


  • Almost contraction
  • Directed graph
  • Fixed point
  • Monotone mapping
  • Multivalued mapping


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