Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular <i>b</i>-Metric Spaces

Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular <i>b</i>-Metric Spaces

In this paper, we introduce several new concepts: generalized neutrosophic rectangular <i>b</i>-metric-like spaces (GNRBMLSs), generalized intuitionistic rectangular <i>b</i>-metric-like spaces (GIRBMLSs), and generalized fuzzy rectangular <i>b</i>-metric-like spa...

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Bibliographic Details
Main Authors: Nawab Hussain, Nawal Alharbi, Ghada Basendwah
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Axioms
Subjects:
generalized neutrosophic rectangular <i>b</i>-metric-like space
generalized intuitionistic rectangular <i>b</i>-metric-like space
generalized fuzzy rectangular <i>b</i>-metric-like space
fuzzy fixed point
fuzzy fractional delay integro-differential equations
Online Access:https://www.mdpi.com/2075-1680/13/12/818
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Summary:In this paper, we introduce several new concepts: generalized neutrosophic rectangular <i>b</i>-metric-like spaces (GNRBMLSs), generalized intuitionistic rectangular <i>b</i>-metric-like spaces (GIRBMLSs), and generalized fuzzy rectangular <i>b</i>-metric-like spaces (GFRBMLSs). These innovative spaces can expand various topological spaces, including neutrosophic rectangular extended <i>b</i>-metric-like spaces, intuitionistic fuzzy rectangular extended <i>b</i>-metric-like spaces, and fuzzy rectangular extended <i>b</i>-metric-like spaces. Moreover, we establish Banach’s fixed point theorem and Ćirić’s quasi-contraction theorem with respect to these spaces, and we explore an application regarding the existence and uniqueness of solutions for fuzzy fractional delay integro-differential equations, as derived from our main results.
ISSN:2075-1680

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