BEST APPROXIMATION IN SOFT METRIC SPACES Article Swipe

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Dilip Kumar Sah ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.12732/ijam.v38i9s.895

This article examines best approximation within soft metric spaces, a framework that effectively models uncertain and imprecise data. Extending classical best approximation theory, defining soft best approximation distance and establish theorem under soft contractive and cyclic contractive mappings in complete soft metric spaces. To demonstrate applicability, we provide illustrative examples, including a store-customer model and a blood diagnostics case study, where optimal approximate solutions are needed under parameterized uncertainty. In addition, we present algorithmic procedures for identifying soft best proximity points, reinforcing the practical relevance of our results with flow chart of healthy person.

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Parameterized complexity Metric (unit) Mathematics Metric space Approximation error Flow chart Approximation algorithm Applied mathematics Flow (mathematics) Mathematical optimization Relevance (law) Approximation theory Product metric Chart Algorithm Discrete mathematics Computer science Soft set Approximations of π

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Landing Page: https://doi.org/10.12732/ijam.v38i9s.895
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DOI: https://doi.org/10.12732/ijam.v38i9s.895

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Title: BEST APPROXIMATION IN SOFT METRIC SPACES

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Publication year: 2025

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Publication date: 2025-11-03

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Authors: Dilip Kumar Sah

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Landing page: https://doi.org/10.12732/ijam.v38i9s.895

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Concepts: Parameterized complexity, Metric (unit), Mathematics, Metric space, Approximation error, Flow chart, Approximation algorithm, Applied mathematics, Flow (mathematics), Mathematical optimization, Relevance (law), Approximation theory, Product metric, Chart, Algorithm, Discrete mathematics, Computer science, Soft set, Approximations of π

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