New fixed point results for E-metric spaces

Nayyar Mehmood, Ahmed Al Rawashdeh, Stojan Radenović

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

A new convergence criteria using the concept of semi-interior points has been defined in E-metric spaces with non-solid and non-normal set of positive elements E+ of a real normed space E, also known as a positive cone. Many examples are provided to insure the existence of semi-interior points of E+ with empty interior. New generalizations of Banach, Kannan and Chatterjea fixed point theorems are proved.

Original languageEnglish
Pages (from-to)1101-1111
Number of pages11
JournalPositivity
Volume23
Issue number5
DOIs
Publication statusPublished - Nov 1 2019

Keywords

  • Fixed points
  • Non-solid cones
  • Semi-interior points
  • e-Convergence

ASJC Scopus subject areas

  • Analysis
  • Theoretical Computer Science
  • Mathematics(all)

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