On Intuitionistic Fuzzy Nb Metric Space and Related Fixed Point Results with Application to Nonlinear Fractional Differential Equations-Reference-Cited by-同舟云学术

On Intuitionistic Fuzzy Nb Metric Space and Related Fixed Point Results with Application to Nonlinear Fractional Differential Equations

Published:2023-07-04 Issue:7 Volume:7 Page:529
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Ishtiaq Umar¹^ORCID,Kattan Doha²,Ahmad Khaleel³,Lazăr Tania⁴,Lazăr Vasile⁴⁵,Guran Liliana⁵⁶^ORCID

Affiliation:

1. Office of Research, Innovation and Commercialization, University of Management and Technology, Lahore 54770, Pakistan

2. Department of Mathematics, Faculty of Sciences and Arts, King Abdulaziz University, Rabigh 21589, Saudi Arabia

3. Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan

4. Department of Mathematics, Technical University of Cluj Napoca, 400114 Cluj-Napoca, Romania

5. Department of Economic and Technical Sciences, Vasile Goldiș Western University of Arad, 310025 Arad, Romania

6. Computer Science Department, Technical University of Cluj Napoca, 400114 Cluj-Napoca, Romania

Abstract

This manuscript contains several new notions including intuitionistic fuzzy Nb metric space, intuitionistic fuzzy quasi-Sb-metric space, intuitionistic fuzzy pseudo-Sb-metric space, intuitionistic fuzzy quasi-N-metric space and intuitionistic fuzzy pseudo Nb fuzzy metric space. We prove decomposition theorem and fixed-point results in the setting of intuitionistic fuzzy pseudo Nb fuzzy metric space. Further, we provide several non-trivial examples to show the validity of introduced notions and results. At the end, we solve an integral equation, system of linear equations and nonlinear fractional differential equations as applications.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/7/529/pdf

Reference24 articles.

1. 2-metrische Räume und ihre topologische Struktur;Math. Nachr.,1963

2. Generalized metric space and mapping with fixed point;Dhage;Bull. Cal. Math. Soc.,1992

3. A new approach to generalized metric spaces;Mustafa;J. Nonlinear Convex Anal.,2006

4. Remarks on G-metric spaces and fixed point theorems;Jleli;Fixed Point Theory Appl.,2012

5. A generalization of fixed point theorems in S-metric spaces;Sedghi;Mat. Vesn.,2012

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