Wardowski Contraction on Controlled S-Metric Type Spaces with Fixed Point Results

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DOI: https://doi.org/10.28924/2291-8639-22-2024-151
Published: Sep 9, 2024
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Fatima M. Azmi, Wardowski Contraction on Controlled S-Metric Type Spaces with Fixed Point Results, Int. J. Anal. Appl., 22 (2024), 151.

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Fatima M. Azmi

Abstract

This article presents the concept of a triple controlled S-metric type space, characterized by three control functions: β, µ, and γ. This extends the idea of controlled S-metric type spaces. We explore several properties and provide illustrative examples. Furthermore, we introduce αs-admissible mappings and enhance Wardowski’s contraction principle by introducing (αs-F)-contractive mappings specifically designed for triple controlled S-metric type spaces. The article establishes the existence and uniqueness of fixed points within a complete triple controlled S-metric type space. Finally, we apply our main theorem to demonstrate the determination of a unique solution for an mth degree polynomial.

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