New Generalized Contractions by Employing Two Control Functions and Coupled Fixed-Point Theorems with Applications

In this study, we obtain certain coupled fixed-point results for generalized contractions involving two control functions in a controlled metric space. Additionally, we establish some coupled fixed-point results in graph-enabled controlled metric spaces. Many well-known results from the literature w...

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Bibliographic Details
Main Authors: Hasanen A. Hammad, Mohra Zayed
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/17/3208
Description
Summary:In this study, we obtain certain coupled fixed-point results for generalized contractions involving two control functions in a controlled metric space. Additionally, we establish some coupled fixed-point results in graph-enabled controlled metric spaces. Many well-known results from the literature will be expanded upon and modified by our results. In order to demonstrate the validity of the stated results, we also offer some examples. Finally, we apply the theoretical results to obtain the solution to a system of integral equations.
ISSN:2227-7390