Double controlled $ M $-metric spaces and some fixed point results-Reference-Cited by-同舟云学术

Double controlled $ M $-metric spaces and some fixed point results

Published:2022 Issue:8 Volume:7 Page:15298-15312
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Uddin Fahim¹,Adeel Faizan²,Javed Khalil²,Park Choonkil³,Arshad Muhammad²

Affiliation:

1. Abdus Salam School of Mathematical Sciences, Government College University, Lahore, Pakistan

2. Department of Mathematics and Statistic, International Islamic University, Islamabad, Pakistan

3. Research Institute for Natural Sciences, Hanyang University, Seoul, 04763, Korea

Abstract

<abstract><p>In this article, we introduce the idea of double controlled $ M $-metric space by employing two control functions $ a(u, w) $ and $ \beta (w, v) $ on the right-hand side of the triangle inequality of $ M $-metric space. We provide some examples of double controlled $ M $-metric spaces. We also provide some fixed point results under new type of contractions in the setting of double controlled $ M $-metric spaces. Moreover, we give an example to highlight the importance of one of our main results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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