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Coincidence point results in partial b-metric spaces via tri-simulation function and digraph with an application
Kumar Mohanta, Sushanta
Das, Shubha
2025
Abstract
In this article, we introduce the concept of generalized (α, T)-G-contractive mappings in partial b-metric spaces endowed with a digraph G and obtain a new coincidence point and common fixed point result for a pair of self mappings satisfying such contractive condition. Our main result will extend and unify several known results in the existing literature and also brings some new results as consequences. Finally, we give an application of our main result to obtain a unique solution of an integral equation.
Publisher
EUT Edizioni Università di Trieste
Source
Sushanta Kumar Mohanta and Shubha Das, "Coincidence point results in partial b-metric spaces via tri-simulation function and digraph with an application" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.57 (2025)", EUT Edizioni Università di Trieste, Trieste, 2025, pp.
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International