Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space-Reference-Cited by-同舟云学术

Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space

Published:2022-05-12 Issue: Volume:2022 Page:1-15
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Altanji Mohamed¹^ORCID,Santhi Annamalai²^ORCID,Govindan Vediyappan³^ORCID,Santra Shyam Sundar⁴^ORCID,Noeiaghdam Samad⁵⁶^ORCID

Affiliation:

1. Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia

2. Department of Mathematics, Government Arts College, Dharmapuri, India

3. Department of Mathematics, DMI St John The Baptist University, Central Africa Mangochi 409, Malawi

4. Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal-741235, India

5. Industrial Mathematics Laboratory, Baikal School of BRICS, Irkutsk National Research Technical University, Irkutsk 664074, Russia

6. Department of Applied Mathematics and Programming, South Ural State University, Lenin Prospect 76, Chelyabinsk 454080, Russia

Abstract

In this study, we contribute to the terminological debate about various fixed-point results’ use of the term intuitionistic fuzzy b-metric space in defining the structure based on fuzzy sets. As a predominant result, we give an adequate condition for a sequence to be Cauchy in the intuitionistic fuzzy b-metric space. Subsequently, we simplify the proofs of manifold fixed-point theorems in the intuitionistic fuzzy b-metric spaces under the prominent contraction conditions. Also, we give a satisfactory condition for a solution to Cauchy in the intuitionistic fuzzy b-metric spaces.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/9561906.pdf

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