Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular b-Metric Spaces

Hussain, Nawab; Alharbi, Nawal; Basendwah, Ghada

doi:10.3390/axioms13120818

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Open AccessArticle

Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular b-Metric Spaces

by

Nawab Hussain

^1,†

,

Nawal Alharbi

^1,2,*,†

and

Ghada Basendwah

^1,†

¹

Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

²

Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia

^*

Author to whom correspondence should be addressed.

^†

These authors contributed equally to this work.

Axioms 2024, 13(12), 818; https://doi.org/10.3390/axioms13120818

Submission received: 21 September 2024 / Revised: 11 November 2024 / Accepted: 21 November 2024 / Published: 24 November 2024

(This article belongs to the Special Issue Fixed Point Theory and Its Applications)

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Abstract

In this paper, we introduce several new concepts: generalized neutrosophic rectangular b-metric-like spaces (GNRBMLSs), generalized intuitionistic rectangular b-metric-like spaces (GIRBMLSs), and generalized fuzzy rectangular b-metric-like spaces (GFRBMLSs). These innovative spaces can expand various topological spaces, including neutrosophic rectangular extended b-metric-like spaces, intuitionistic fuzzy rectangular extended b-metric-like spaces, and fuzzy rectangular extended b-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.

Keywords: generalized neutrosophic rectangular b-metric-like space; generalized intuitionistic rectangular b-metric-like space; generalized fuzzy rectangular b-metric-like space; fuzzy fixed point; fuzzy fractional delay integro-differential equations

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MDPI and ACS Style

Hussain, N.; Alharbi, N.; Basendwah, G. Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular b-Metric Spaces. Axioms 2024, 13, 818. https://doi.org/10.3390/axioms13120818

AMA Style

Hussain N, Alharbi N, Basendwah G. Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular b-Metric Spaces. Axioms. 2024; 13(12):818. https://doi.org/10.3390/axioms13120818

Chicago/Turabian Style

Hussain, Nawab, Nawal Alharbi, and Ghada Basendwah. 2024. "Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular b-Metric Spaces" Axioms 13, no. 12: 818. https://doi.org/10.3390/axioms13120818

APA Style

Hussain, N., Alharbi, N., & Basendwah, G. (2024). Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular b-Metric Spaces. Axioms, 13(12), 818. https://doi.org/10.3390/axioms13120818

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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Fixed-Point Results with Applications in Generalized Neutrosophic Rectangular b-Metric Spaces

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