Remarks on the generalized interpolative contractions and some fixed-point theorems with application-Reference-Cited by-同舟云学术

Remarks on the generalized interpolative contractions and some fixed-point theorems with application

Published:2022-01-01 Issue:1 Volume:20 Page:845-862
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Nazam Muhammad¹,Lashin Maha M. A.²,Hussain Aftab³,Al Sulami Hamed H.³

Affiliation:

1. Department of Mathematics, Allama Iqbal Open University, H-8 , Islamabad , Pakistan

2. Electrical Engineering Department, College of Engineering, Princess Nourah bint Abdulrahman University , P. O. Box 84428 , Riyadh 11671 , Saudi Arabia

3. Department of Mathematics, King Abdulaziz University , P.O. Box 80203 , Jeddah 21589 , Saudi Arabia

Abstract

Abstract In this manuscript, some remarks on the papers [H. A. Hammad, P. Agarwal, S. Momani, and F. Alsharari, Solving a fractional-order differential equation using rational symmetric contraction mappings, Fractal Fract. 5 (2021), 159] and [A. Hussain, F. Jarad, and E. Karapinar, A study of symmetric contractions with an application to generalized fractional differential equations, Adv. Differ. Equ. 2021 (2021), 300] are given. In the light of remarks, we introduce a new property that makes it convenient to investigate the existence of fixed points of the interpolative contractions in the orthogonal metric spaces. We derive several new results based on known contractions from the main theorems. As an application, we resolve a Urysohn integral equation.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0042/pdf

Reference35 articles.

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