Some topological properties and Schauder basis in fuzzy normed linear spaces

The aim of this paper is to obtain several topological characteristics of fuzzy normed linear spaces. We study the vector topology induced by a fuzzy norm. The notion of Schauder basis is developed in fuzzy normed linear spaces.

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Publication Details

Journal
New Mathematics and Natural Computation
Published
2026-03-13
DOI
https://doi.org/10.1142/s1793005728500433
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

Some topological properties and Schauder basis in fuzzy normed linear spaces

Debajit Hazarika, Mami Sharma
New Mathematics and Natural Computation
Fixed Point Theorems Analysis
article

Some topological properties and Schauder basis in fuzzy normed linear spaces

Debajit Hazarika, Mami Sharma
article en

Abstract

The aim of this paper is to obtain several topological characteristics of fuzzy normed linear spaces. We study the vector topology induced by a fuzzy norm. The notion of Schauder basis is developed in fuzzy normed linear spaces.

New Mathematics and Natural Computation
Openalex Percentile: Top 20%
Fixed Point Theorems Analysis
DOISourceOpenAlex
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Some topological properties and Schauder basis in fuzzy normed linear spaces — Debajit Hazarika, Mami Sharma · New Mathematics and Natural Computation (2026) | TGRS Research Map | TGRS