Relation‐Theoretic Contraction via a Triplet of Auxiliary Functions and an Application to Ordinary Differential Equations

In this manuscript, we establish some results on fixed points by using a triplet of auxiliary functions endowed with a locally ‐transitive binary relation. We also present an example to illustrate the suitability of our results and discuss some applications to first and second order ordinary differe...

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Bibliographic Details
Published in:Journal of function spaces Vol. 2025; no. 1
Main Authors: Ali, Shahbaz, Khan, Qamrul Haque, Albaity, Majed, Ozel, Cenap
Format: Journal Article
Language:English
Published: New York John Wiley & Sons, Inc 01.01.2025
Wiley
Subjects:
Differential equations
Hypotheses
Ordinary differential equations
Theorems
ISSN:2314-8896, 2314-8888
Online Access:Get full text
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Summary:In this manuscript, we establish some results on fixed points by using a triplet of auxiliary functions endowed with a locally ‐transitive binary relation. We also present an example to illustrate the suitability of our results and discuss some applications to first and second order ordinary differential equations with periodic boundary value problems, obtaining the existence and uniqueness of a lower solution.
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content type line 14
ISSN:2314-8896
2314-8888
DOI:10.1155/jofs/5001063