Coupled fixed point results for (varphi,G)-contractions of type (b) in b-metric spaces endowed with a graph

Abstract

The purpose of this paper is to present some existence results for coupled fixed points of generalized contraction type operators in b-metric spaces endowed with a directed graph.

Existence, uniqueness, Ulam–Hyers–Rassias stability, well-posedness and data dependence property related to a fixed point problem in gamma-complete metric spaces with application to integral equations

“…Several research papers on data dependence have been published in the recent literature, some of which we mention in references [3,5,20].…”

Solving a System of Differential Equations with Infinite Delay by Using Tripled Fixed Point Techniques on Graphs

“…It should be noted that the function (z, u, r) ∈ Θ 3 (where Θ 3 = Θ × Θ × Θ) is a solution of ( 13) and (14), if (z, u, r) fulfills ( 13) and (14).…”

“…As a continuation of this approach, the results of coupled fixed points and TFPs for edge-preserving mappings with applications in abstract spaces have been investigated. For more details, see [13][14][15][16][17].…”

Solution of differential equations with infinite delay via coupled fixed point

“…Following this line, many coupled fixed point results in metric space endowed with a directed graph were considered by many authors, for example see [1,9,11,12,14].…”