Some Common Best Proximity Point Results in Neutrosophic Complete Metric Spaces

In this research article, we prove the existence and uniqueness of common best proximity points for a given class of discontinuous mappings. For that, we have introduced the notions of neutrosophic proximally compatible mappings, neutrosophic proximally reciprocal and weak reciprocal mappings, and R-proximally weak reciprocal commuting mappings of type I and type II. We have given examples to validate our findings.

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Publication Details

Journal
Mathematics
Published
2025-11-28
DOI
https://doi.org/10.3390/math13233819
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
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article

Some Common Best Proximity Point Results in Neutrosophic Complete Metric Spaces

Yongqiao Wang, Veerasamy Pragadeeswarar, Qiming Zhao, A. Sreelakshmi Unni
Mathematics
Fixed Point Theorems Analysis
article

Some Common Best Proximity Point Results in Neutrosophic Complete Metric Spaces

Yongqiao Wang, Veerasamy Pragadeeswarar, Qiming Zhao, A. Sreelakshmi Unni
article en

Abstract

In this research article, we prove the existence and uniqueness of common best proximity points for a given class of discontinuous mappings. For that, we have introduced the notions of neutrosophic proximally compatible mappings, neutrosophic proximally reciprocal and weak reciprocal mappings, and R-proximally weak reciprocal commuting mappings of type I and type II. We have given examples to validate our findings.

MathematicsVol. 13(23)
Jilin University of Finance and Economics (CN), Dalian Maritime University (CN), Amrita Vishwa Vidyapeetham (IN)
Openalex Percentile: Top 58%
Fixed Point Theorems Analysis
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