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

Naeem Saleem1, Khalil Javed2, Fahim Uddin3, Umar Ishtiaq4, Khalil Ahmed2, Thabet Abdeljawad5,6,*, Manar A. Alqudah7
1 Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan
2 Department of Math & Stats, International Islamic University Islamabad, Islamabad, 44000, Pakistan
3 Abdus Salam School of Mathematical Sciences, Government College University, Lahore, 54600, Pakistan
4 Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore, 54770, Pakistan
5 Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia
6 Department of Medical Research, China Medical University, Taichung, 40402, Taiwan
7 Department of Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh, 11671, Saudi Arabia
* Corresponding Author: Thabet Abdeljawad. Email: tabdeljawad@psu.edu.sa

Computer Modeling in Engineering & Sciences https://doi.org/10.32604/cmes.2022.021031

Received 24 December 2021; Accepted 25 May 2022; Published online 23 June 2022

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.

Keywords

Fixed point; extended fuzzy b-metric like space; intuitionistic extended fuzzy b-metric-like space; integral equation
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