NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, vol.37, no.1, pp.925-941, 2021 (SCI-Expanded)
Article / Article
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
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 University Affiliated:
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.