Analytical Solution for Differential and Nonlinear Integral Equations via F ϖ e -Suzuki Contractions in Modified ϖ e -Metric-Like Spaces-Reference-Cited by-同舟云学术

Analytical Solution for Differential and Nonlinear Integral Equations via F ϖ e -Suzuki Contractions in Modified ϖ e -Metric-Like Spaces

Published:2021-02-15 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,De la Sen Manuel²^ORCID,Aydi Hassen³⁴⁵^ORCID

Affiliation:

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

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

3. Institut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, 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

Abstract

The aim of this manuscript is to present a new space, namely, a modified

ϖ_{e}

-metric-like space, and we establish some related fixed point results using extended

F_{ϖ_{e}}

-Suzuki and generalized

F_{ϖ_{e}}

-Suzuki contractions on the mentioned space. Here, we support our theoretical consequences in two ways: the first one consists of presenting illustrative examples and the second one consists of finding analytical solutions for some integral and differential equations in the context of the mentioned space.