Controlled S-Metric-Type Spaces and Applications to Fractional Integrals-Reference-Cited by-同舟云学术

Controlled S-Metric-Type Spaces and Applications to Fractional Integrals

Published:2023-05-17 Issue:5 Volume:15 Page:1100
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Ekiz Yazici Nilay¹^ORCID,Ege Ozgur²^ORCID,Mlaiki Nabil³^ORCID,Mukheimer Aiman³^ORCID

Affiliation:

1. Departments of Mathematics, Bursa Technical University, Yildirim, Bursa 16310, Turkey

2. Department of Mathematics, Ege University, Izmir 35100, Turkey

3. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Abstract

In this paper, we introduce controlled S-metric-type spaces and give some of their properties and examples. Moreover, we prove the Banach fixed point theorem and a more general fixed point theorem in this new space. Finally, using the new results, we give two applications on Riemann–Liouville fractional integrals and Atangana–Baleanu fractional integrals.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/5/1100/pdf

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