Subsequential Continuity in Neutrosophic Metric Space with Applications

This paper introduces two concepts, subcompatibility and subsequential continuity, which are, respectively, weaker than the existing concepts of occasionally weak compatibility and reciprocal continuity. These concepts are studied within the framework of neutrosophic metric spaces. Using these ideas, a common fixed point theorem is developed for a system involving four maps. Furthermore, the results are applied to solve the Volterra integral equation, demonstrating the practical use of these findings in neutrosophic metric spaces.

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Publication Details

Journal
Computation
Published
2025-03-25
DOI
https://doi.org/10.3390/computation13040087
Citations
2
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
8.18
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article

Subsequential Continuity in Neutrosophic Metric Space with Applications

Vishal Gupta, Rahul Shukla, Nitika Garg
2 citations
Computation
Fixed Point Theorems Analysis
8.18
article

Subsequential Continuity in Neutrosophic Metric Space with Applications

Vishal Gupta, Rahul Shukla, Nitika Garg
article en
2 citations

Abstract

This paper introduces two concepts, subcompatibility and subsequential continuity, which are, respectively, weaker than the existing concepts of occasionally weak compatibility and reciprocal continuity. These concepts are studied within the framework of neutrosophic metric spaces. Using these ideas, a common fixed point theorem is developed for a system involving four maps. Furthermore, the results are applied to solve the Volterra integral equation, demonstrating the practical use of these findings in neutrosophic metric spaces.

ComputationVol. 13(4)
Maharishi Markandeshwar University, Mullana (IN), Walter Sisulu University (ZA)
Openalex Percentile: Top 4%
Fixed Point Theorems Analysis
8.18
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