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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Vydáno v:Journal of function spaces Ročník 2025; číslo 1
Hlavní autoři: Ali, Shahbaz, Khan, Qamrul Haque, Albaity, Majed, Ozel, Cenap
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York John Wiley & Sons, Inc 01.01.2025
Wiley
Témata:
Differential equations
Hypotheses
Ordinary differential equations
Theorems
ISSN:2314-8896, 2314-8888
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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ISSN:2314-8896
2314-8888
DOI:10.1155/jofs/5001063