A Fixed Point Technique for Solving an Integro-Differential Equation Using Mixed-Monotone Mappings-Reference-Cited by-同舟云学术

A Fixed Point Technique for Solving an Integro-Differential Equation Using Mixed-Monotone Mappings

Published:2021-09-23 Issue: Volume:2021 Page:1-13
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Hammad Hasanen A.¹^ORCID,Rashwan Rashwan A.²,De la Sen Manuel³^ORCID

Affiliation:

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

2. Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt

3. Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Bizkaia, Spain

Abstract

The objective of this manuscript is to present new tripled fixed point results for mixed-monotone mappings by a pivotal lemma in the setting of partially ordered complete metric spaces. Our outcomes sum up, enrich, and generalize several results in the current writing. Moreover, some examples have been discussed to strengthen and support our theoretical results. Finally, the theoretical results are applied to study the existence and uniqueness of the solution to an integro-differential equation.

Funder

European Commission

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/9925073.pdf

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