A novel type of spaces satisfying the $T_2$-separation property and some related results
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.
Authors
- Amine Jaid (ORCID: https://orcid.org/0000-0001-7322-2008)
- Youssef Touail (ORCID: https://orcid.org/0000-0003-3593-8253)
- Driss El Mouatwakil
Institutions
- Université Sultan Moulay Slimane (MA)
- Chouaib Doukkali University (MA)
- Sidi Mohamed Ben Abdellah University (MA)
Publication Details
- Journal
- Boletim da Sociedade Paranaense de Matemática
- Published
- 2025-04-15
- DOI
- https://doi.org/10.5269/bspm.68860
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00