Relation-Preserving Functional Contractions Involving a Triplet of Auxiliary Functions with an Application to Integral Equations

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Udgivet i:Symmetry vol. 16, no. 6 (2024), p. 691
Hovedforfatter: Filali, Doaa
Andre forfattere: Faizan Ahmad Khan
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MDPI AG
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100 1 |a Filali, Doaa  |u Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi Arabia 
245 1 |a Relation-Preserving Functional Contractions Involving a Triplet of Auxiliary Functions with an Application to Integral Equations 
260 |b MDPI AG  |c 2024 
513 |a Journal Article 
520 3 |a This article addresses certain fixed-point results in a metric space equipped with a locally transitive binary relation under a functional contraction containing three auxiliary functions. The findings proved herein enrich and improve a number of existing results. In order to prove the credibility of our findings, an illustrative example is provided. Making use of our findings, we study the genuineness of the unique solution to a Fredholm integral equation. 
653 |a Computational mathematics 
653 |a Metric space 
653 |a Integral equations 
653 |a Boundary value problems 
653 |a Fredholm equations 
653 |a Functionals 
700 1 |a Faizan Ahmad Khan  |u Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia 
773 0 |t Symmetry  |g vol. 16, no. 6 (2024), p. 691 
786 0 |d ProQuest  |t Engineering Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/3072691348/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch 
856 4 0 |3 Full Text  |u https://www.proquest.com/docview/3072691348/fulltext/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch 
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