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

Muhammad Nazam; Hassen Aydi; Aftab Hussain

doi:10.1080/02331934.2022.2043858

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

Journal article

Peer reviewed

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

Muhammad Nazam, Hassen Aydi and Aftab Hussain

Optimization, Vol.72(7), pp.1899-1929

03/07/2023

DOI: https://doi.org/10.1080/02331934.2022.2043858

Abstract

complete O-metric space

Fixed point

orthogonal interpolative contractions

Primary: 47H10

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.

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Title: Existence theorems for (Ψ,Φ)-orthogonal interpolative contractions and an application to fractional differential equations
Creators - without role: Muhammad Nazam - Allama Iqbal Open University
Hassen Aydi - China Medical University Hospital
Aftab Hussain - King Abdulaziz University
Publication Details: Optimization, Vol.72(7), pp.1899-1929
Publisher: Taylor & Francis
Identifiers: 9937723108331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article