R-weak commutativity, examples, and applications
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.37, sa.1, ss.925-941, 2021 (SCI-Expanded, Scopus)
- 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‐, Archimedean Menger probabilistic metric space, nonlinear matrix equation, R‐, 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.