Some results in function weighted <i>b</i>-metric spaces

Budi Nurwahyu; Naimah Aris; Firman; Budi Nurwahyu; Naimah Aris; Firman

doi:10.3934/math.2023417

AIMS Mathematics

2023, Volume 8, Issue 4: 8274-8293. doi: 10.3934/math.2023417

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Research article

Some results in function weighted b-metric spaces

Department of Mathematics, Hasanuddin University, Tamalanrea KM 10, Makassar, Indonesia

Received: 29 November 2022 Revised: 12 January 2023 Accepted: 18 January 2023 Published: 01 February 2023
MSC : 47H09, 47H10, 54H25

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.
- fixed point,
- common fixed point,
- function weighted metric,
- function weighted b-metric,
- expansive mapping
Citation: Budi Nurwahyu, Naimah Aris, Firman. Some results in function weighted b-metric spaces[J]. AIMS Mathematics, 2023, 8(4): 8274-8293. doi: 10.3934/math.2023417

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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.

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