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On Intuitionistic Fuzzy Nb Metric Space and Related Fixed Point Results with Application to Nonlinear Fractional Differential Equations
- Source :
- Fractal and Fractional, Vol 7, Iss 7, p 529 (2023)
- Publication Year :
- 2023
- Publisher :
- MDPI AG, 2023.
-
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.
Details
- Language :
- English
- ISSN :
- 25043110
- Volume :
- 7
- Issue :
- 7
- Database :
- Directory of Open Access Journals
- Journal :
- Fractal and Fractional
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.1148a0638da34948b496c73ef67c8445
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/fractalfract7070529