Relation-Theoretic Nonlinear Almost Contractions with an Application to Boundary Value Problems

Author:

Aljawi Salma1ORCID,Uddin Izhar23ORCID

Affiliation:

1. Department of Mathematical Sciences, College of Sciences, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

2. Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India

3. Mathematics Research Center, Department of Mathematics, Near East University, Near East Boulevard, RNC Mersin 10, Nicosia 99138, Turkey

Abstract

This article investigates certain fixed-point results enjoying nonlinear almost contraction conditions in the setup of relational metric space. Some examples are constructed in order to indicate the profitability of our results. As a practical use of our findings, we demonstrate the existence of a unique solution to a specific first-order boundary value problem.

Funder

Princess Nourah Bint Abdulrahman University Researchers Supporting

Publisher

MDPI AG

Reference27 articles.

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2. Shukla, R., and Sinkala, W. (2023). Convex (α,β)-generalized contraction and its applications in matrix equations. Axioms, 12.

3. Approximating fixed points of weak contractions using the Picard iteration;Berinde;Nonlinear Anal. Forum.,2004

4. Some results on fixed points;Kannan;Bull. Calcutta Math. Soc.,1968

5. Fixed point theorem;Chatterjea;C. R. Acad. Bulg. Sci.,1972

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