A Note on Orthogonal Fuzzy Metric Space, Its Properties, and Fixed Point Theorems-Reference-Cited by-同舟云学术

A Note on Orthogonal Fuzzy Metric Space, Its Properties, and Fixed Point Theorems

Published:2022-05-11 Issue: Volume:2022 Page:1-14
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Javed Khalil¹^ORCID,Asif Awais²^ORCID,Savas Ekrem³^ORCID

Affiliation:

1. Department of Mathematics and Statistics, International Islamic University Islamabad, 44000, Pakistan

2. Department of Mathematics, Kateb University, 1007, Afghanistan

3. Department of Mathematics, Usak University, Turkey

Abstract

The article generalizes the notion of orthogonal fuzzy metric space into a broader term, named as orthogonal picture fuzzy metric space. The obtained results improve and extend the idea of the orthogonal fuzzy metric space and its related results. However, this article outstretches the above-mentioned notion further into a newly defined concept, named as orthogonal picture fuzzy metric space. A detailed insight is given into the topic by presenting some fixed point results in the frame of the newly defined structure. To elaborate the results more precisely, some concrete examples are given.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/5863328.pdf

Reference17 articles.

1. Fuzzy sets

2. Intuitionistic fuzzy metric spaces

3. On orthogonal sets and Banach fixed point theorem

4. Fixed point result in orthogonal fuzzy metric space;M. Hezarjaribi;Jordan Journal of Mathematics and Statistics,2018

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