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

KAPLAN E., Kütükcü S.

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, cilt.13, sa.2, ss.2133-2140, 2022 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.22075/ijnaa.2021.24158.2684
  • Dergi Adı: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.2133-2140
  • Anahtar Kelimeler: (CLRg) property, weakly compatible mappings, fixed point, modular metric, integral type equation, Volterra integral equation, MAPPINGS
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.