Abstract
The aim of this work is to usher in tripled b-metric spaces, triple weakly alpha _{s}-admissible, triangular partially triple weakly alpha _{s}-admissible and their properties for the first time. Also, we prove some theorems about coincidence and common fixed point for six self-mappings. On the other hand, we present a new model, talk over an application of our results to establish the existence of common solution of the system of Volterra-type integral equations in a triple b-metric space. Also, we give some example to illustrate our theorems in the section of main results. Finally, we show an application of primary results.
Highlights
Introduction and preliminaries TheBanach contraction principle plays a central part in metric fixed point theory, and a great number of researchers revealed many fruitful generalizations of this resolution in diverse ways
Numerous research articles have been published comprising fixed point theorems for several classes of single-valued and multi-valued operators in b-metric spaces
In 2012, the concept of F-contraction, which is one of these generalizations, was introduced by Wardowski [7]. He presented that every F-contraction defined in a complete metric space has a unique fixed point
Summary
is only possible solution. Similarly, the pair (g, S2) and (h, S3) is αs-compatible. To prove that (f , g, h) is a partially weakly αs-admissible triple of mappings with respect to S!, let x ∈ X and y ∈ S1–1(g(f (x))), that is, S1(y) = g(f (x)) and e6y – 1 = g ln x 1+
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