Existence theorems for (Ψ,Φ)-orthogonal interpolative contractions and an application to fractional differential equations

In this article, we introduce -orthogonal interpolative contractions which generalize orthogonal interpolative contractions. We investigate different conditions on the functions to show the existence of fixed-points of set-valued -orthogonal interpolative contractions. Our fixed point results are im...

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Bibliographic Details
Published inOptimization Vol. 72; no. 7; pp. 1899 - 1929
Main Authors Nazam, Muhammad, Aydi, Hassen, Hussain, Aftab
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 03.07.2023
Taylor & Francis LLC
Subjects
complete O-metric space
Differential equations
Existence theorems
Fixed point
Fixed points (mathematics)
Fractional calculus
orthogonal interpolative contractions
Primary: 47H10
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Summary:In this article, we introduce -orthogonal interpolative contractions which generalize orthogonal interpolative contractions. We investigate different conditions on the functions to show the existence of fixed-points of set-valued -orthogonal interpolative contractions. Our fixed point results are improvement of several known results in literature. As an application, we resolve a fractional differential equation.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2022.2043858