A novel type of spaces satisfying the $T_2$-separation property and some related results
Resumen
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.
Descargas
Citas
Aamri, M., El Moutawakil, D.: τ-distance in general topological spaces with application to fixed point theory. Southwest Journal of Pure and Applied Mathematics, Issue 2, December, 1-5 (2003).
Aghajani, A., Abbas, M. and Roshan, J. R.: Common fixed point of generalized weak contractive mappings in partially ordered Gb-metric spaces. Filomat 28:6, 1087–1101 (2014).
Agarwal, R. P., Karapınar, E., O’Regan, D., Rold´an-L´opez-de-Hierro, A.F. . G-Metric Spaces. In: Fixed Point Theory in Metric Type Spaces. Springer, Cham. (2015).
Bakhtin, I. A.: The contraction mapping principle in quasimetric spaces. Funct. Anal. Unianowsk Gos. Ped. Inst. 30, 26–37 (1989).
Czerwik, S.: Contraction mappings in b-metric spaces. Acta Mathematica Et Informatica Universitatis Ostraviensis 1, 5–11 (1993).
Matthews, S. G.: Partial metric topology. Annals of the NewYork Academy of Sciences. vol. 728, pp. 183-197, Proc. 8th Summer Conference on General Topology and Applications (1994).
Mustafa, Z. and Sims, B.: Fixed point theorems for contractive mappings in complete G-metric spaces. Fixed Point Theory and Applications, vol. 2009, Article ID 917175, 10 pages, (2009).
Touail, Y., El Moutawakil, D. and Bennani, S.: Fixed Point theorems for contractive selfmappings of a bounded metric space. J. of Function Spaces Vol. 2019, Article ID 4175807, 3 pages (2019).
Touail, Y., El Moutawakil, D.: Fixed point results for new type of multivalued mappings in bounded metric spaces with an application. Ricerche mat (2020).
Touail, Y., Jaid, A., El Moutawakil, D.: New contribution in fixed point theory via an auxiliary function with an application. Ricerche mat (2021).
Touail, Y.: On multivalued ⊥ψF -contractions on genralized orthogonal sets with an applicatiton in integral inclusions. Probl. Anal. Issues Anal. Vol. 11 (29), No 3, pp. 109-124 (2022).
Touail, Y., El Moutawakil, D., New common fixed point theorems for contractive self mappings and an application to nonlinear differential equations, Int. J. Nonlinear Anal. Appl, 903-911 (2021).
Touail, Y., El Moutawakil, D.: Fixed point theorems for new contractions with application in dynamic programming. Vestnik St.Petersb. Univ.Math. 54, 206-212 (2021).
Touail, Y., Jaid, A., El Moutawakil, D.: Fixed point theorems on orthogonal metric spaces via τ-distances. St. Petersburg State Polytechnical University Journal: Physics and Mathematics, 16(4), pp. 215–223 (2023).
Touail, Y.: On bounded metric spaces: common fixed point results with an application to nonlinear integral equations. Probl. Anal. Issues Anal. Vol. 13 (31), No 1, pp. 82–99 (2024).
Zand, M. R. A. and Nezhad, A. D.: A generalization of partial metric spaces. Journal of Contemporary Applied Mathematics, vol. 24, pp. 86–93, (2011).
Derechos de autor 2025 Boletim da Sociedade Paranaense de Matemática

Esta obra está bajo licencia internacional Creative Commons Reconocimiento 4.0.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).



