Work

A novel type of spaces satisfying the $T_2$-separation property and some related results

Year: 2025

Type: article

Abstract: In this paper, we introduce a new kind of spaces called a $T$-partial $G_b$-metric space. In this space, the $T_2$-separation axiom is verified and many known spaces in the literature are extended. Moreover, we prove a related fixed point theorem and include an example that shows the validity of our results.

Source: Boletim da Sociedade Paranaense de Matemática

DOI: 10.5269/bspm.68860

Authors: Youssef Touail, Amine Jaid, Driss El Mouatwakil

Institutions: Sidi Mohamed Ben Abdellah University, Université Sultan Moulay Slimane, Chouaib Doukkali University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412913734

FWCI:

Cites: 10

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Related to: 10