On the modular metric completion

The purpose of this paper is to present the construction of the completion of a set equipped with a modular metric that we call the modular completion. We show for instance that any set equipped with a modular metric has a modular completion. Moreover, it turns out that the modular completion is unique up to isometry.

Authors

Olivier Olela Otafudu (ORCID: https://orcid.org/0000-0001-9593-7899)
Tlotlo Odacious Phawe (ORCID: https://orcid.org/0000-0003-2837-8147)

Institutions

North-West University (ZA)
University of Limpopo (ZA)

Publication Details

Journal: Applied General Topology
Published: 2025-10-01
DOI: https://doi.org/10.4995/agt.2025.23431
Primary Topic: Fixed Point Theorems Analysis
Type: article
Field-Weighted Citation Impact: 0.00

Controls

|||

ALL TIME

JAN

FEB

MAR

APR

MAY

JUN

JUL

AUG

SEP

OCT

article

On the modular metric completion

Olivier Olela Otafudu, Tlotlo Odacious Phawe

Oct 1, 2025

Applied General Topology

Fixed Point Theorems Analysis

article

On the modular metric completion

Olivier Olela Otafudu, Tlotlo Odacious Phawe

October 1, 2025article en

Abstract

Applied General TopologyVol. 26(2)

North-West University (ZA), University of Limpopo (ZA)

Openalex Percentile: Top 67%

Fixed Point Theorems Analysis

DOI Open Access PDF OpenAlex

AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

On the modular metric completion — Olivier Olela Otafudu, Tlotlo Odacious Phawe · Applied General Topology (2025) | TGRS Research Map | TGRS