Fixed point results for a new contraction mapping with integral and fractional applications-Reference-Cited by-同舟云学术

Fixed point results for a new contraction mapping with integral and fractional applications

Published:2022 Issue:8 Volume:7 Page:13856-13873
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Hammad Hasanen A.¹²,Aydi Hassen³⁴⁵,Park Choonkil⁶

Affiliation:

1. Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

3. Université de Sousse, Institut Supérieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia

4. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

5. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

6. Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea

Abstract

<abstract><p>The purpose of this manuscript is to present some fixed point results for a $ \Lambda $-Ćirić mapping in the setting of non-triangular metric spaces. Also, two numerical examples are given to support the theoretical study. Finally, under suitable conditions, the existence and uniqueness of a solution to a general Fredholm integral equation, a Riemann-Liouville fractional differential equation and a Caputo non-linear fractional differential equation are discussed as applications.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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