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Unique Solution of Integral Equations via Intuitionistic Extended Fuzzy b-Metric-Like Spaces.

Authors :
Saleem, Naeem
Javed, Khalil
Uddin, Fahim
Ishtiaq, Umar
Ahmed, Khalil
Abdeljawad, Thabet
Alqudah, Manar A.
Source :
Computer Modeling in Engineering & Sciences (CMES); 2023, Vol. 135 Issue 1, p109-131, 23p
Publication Year :
2023

Abstract

In this manuscript, our goal is to introduce the notion of intuitionistic extended fuzzy b-metric-like spaces. We establish some fixed point theorems in this setting. Also, we plot some graphs of an example of obtained result for better understanding. We use the concepts of continuous triangular norms and continuous triangular conorms in an intuitionistic fuzzy metric-like space. Triangular norms are used to generalize with the probability distribution of triangle inequality in metric space conditions. Triangular conorms are known as dual operations of triangular norms. The obtained results boost the approaches of existing ones in the literature and are supported by some examples and applications. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15261492
Volume :
135
Issue :
1
Database :
Complementary Index
Journal :
Computer Modeling in Engineering & Sciences (CMES)
Publication Type :
Academic Journal
Accession number :
159587077
Full Text :
https://doi.org/10.32604/cmes.2022.021031