Intuitionistic Fuzzy Double Controlled Metric Spaces and Related Results-Reference-Cited by-同舟云学术

Intuitionistic Fuzzy Double Controlled Metric Spaces and Related Results

Published:2022-05-20 Issue: Volume:2022 Page:1-15
ISSN:1939-0122
Container-title:Security and Communication Networks
language:en
Short-container-title:Security and Communication Networks

Author:

Farheen Misbah¹^ORCID,Ahmed Khalil²,Javed Khalil²^ORCID,Parvaneh Vahid³,Din Fahim Ud⁴^ORCID,Ishtiaq Umar⁵^ORCID

Affiliation:

1. Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan

2. Department of Math & Stats, International Islamic University, Islamabad, Pakistan

3. Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran

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

5. Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore, Pakistan

Abstract

In this article, we introduce the concept of intuitionistic fuzzy double controlled metric spaces that generalizes the concept of intuitionistic fuzzy b-metric spaces. For this purpose, two noncomparable functions are used in triangle inequalities. We generalize the concepts of the Banach contraction principle and fuzzy contractive mappings by giving authentic proof of these mappings in the sense of intuitionistic fuzzy double controlled metric spaces. To validate the superiority of these results, examples are imparted. A possible application to solving integral equations is also set forth towards the end of this work to support the proposed results.

Publisher

Hindawi Limited

Subject

Computer Networks and Communications,Information Systems

Link

http://downloads.hindawi.com/journals/scn/2022/6254055.pdf

Reference23 articles.

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3. Common Fixed Point Results on a Double-Controlled Metric Space for Generalized Rational-Type Contractions with Application;Axioms;2023-09-30

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