Common fixed point theorems under the (CLRg) property with applications

KAPLAN E., Kütükcü S.

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, vol.13, no.2, pp.2133-2140, 2022 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 2
  • Publication Date: 2022
  • Doi Number: 10.22075/ijnaa.2021.24158.2684
  • Journal Name: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.2133-2140
  • Keywords: (CLRg) property, weakly compatible mappings, fixed point, modular metric, integral type equation, Volterra integral equation, MAPPINGS
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, we study some new common fixed point theorems for a pair of weakly compatible mappings satisfying the (CLRg) property in modular metric spaces. We also generalize and improve several results available from the existing literature. As applications of our results, we also provide some applications on the existence and uniqueness of the solution to Volterra type integral equations.