Picard-Jungck operator for a pair of mappings and simulation type functions

Chandok S., Mukheimer A., Hussain A., Paunović L.

Mathematics, vol.7, no.5, 2019 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 5
  • Publication Date: 2019
  • Doi Number: 10.3390/math7050461
  • Journal Name: Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: CG-simulation function, Picard-Jungck operators, Point of coincidence, Weakly compatible mappings
  • Uşak University Affiliated: No

Abstract

In this manuscript, we propose a new class of Picard-Jungck operators for a pair of mappings on complete metric spaces by taking into account of the CG-simulation function. Also, some new results for the existence of such operators for a pair of self mappings in the setting of metric spaces are obtained. Some nontrivial examples are presented to show the usability of the results.