R-weak commutativity, examples, and applications

Kütükcü S.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.37, sa.1, ss.925-941, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1002/num.22576
  • Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.925-941
  • Anahtar Kelimeler: combined common fixed point, damped harmonic oscillator, integral type equation, non&#8208, Archimedean Menger probabilistic metric space, nonlinear matrix equation, R&#8208, weak commuting maps, Volterra type integral equation, FIXED-POINT THEOREMS, COMMUTING MAPPINGS
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

The aim of this article is to define a new contraction and its variants in non-Archimedean Menger probabilistic metric-spaces, and utilize them to establish the existence of a combined common fixed point illustrating with examples. We also apply our result to integral type equations, Volterra type integral equations, damped harmonic oscillators, and nonlinear matrix equations.