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Research Article | Open Access

Some results in function weighted b-metric spaces

Budi Nurwahyu( ), Naimah Aris,  Firman
Department of Mathematics, Hasanuddin University, Tamalanrea KM 10, Makassar, Indonesia
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Abstract

In this paper, we introduce F-b-metric space (function weighted b-metric space) as a generalization of the F-metric space (the function weighted metric space). We also propose and prove some topological properties of the F-b-metric space, the theorems of fixed point and the common fixed point for the generalized expansive mappings, and an application on dynamic programing.

Keywords

fixed pointcommon fixed pointfunction weighted metricfunction weighted b-metricexpansive mapping
CLC number: 47H09, 47H10, 54H25

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AIMS Mathematics
Volume 8 Issue 4,
April 2023
Pages 8274-8293
DOI: 10.3934/math.2023417

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Cite this article:
Nurwahyu B, Aris N, Firman. Some results in function weighted b-metric spaces. AIMS Mathematics, 2023, 8(4): 8274-8293. https://doi.org/10.3934/math.2023417

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Received: 29 November 2022
Revised: 12 January 2023
Accepted: 18 January 2023
Published: 15 April 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)