Research Article

A Study On Various Relations

Volume: 18 Number: 1 February 23, 2026

A Study On Various Relations

Abstract

In 2023, $\Gamma-\mathfrak{I}-$open, pre$-\Gamma-\mathfrak{I}-$open, $\Gamma_{\Gamma}-$open, and almost $\Gamma-\mathfrak{I}-$open sets were defined and their relationships with each other were searched by Yalaz and Keskin Kaymakçı in [19]. Furthermore, Devika and Thilagavathi introduced an $M^{\ast}$-open set and investigated its relationships with some special sets in topological space in [5]. In this study, we research the relevances of these sets with other some specific sets obtained by the operators $\Gamma$ and $\Psi_{\Gamma}$ in ideal topological spaces.

Keywords

References

  1. Al-Omari, A., Noiri, T., Local closure functions in ideal topological spaces, Novi Sad J. Math., 43(2)(2013), 139–149.
  2. Amsaveni, V., Anitha, M., Subramanian, A., New types of semi-open sets, International Journal of New Innovations in Engineering and Technology, 9(4)(2019), 14–17.
  3. Caldas, M., Jafari, S., Kov´ar, M. M., Some properties of θ-open sets, Divulgaciones Matem´aticas, 12(2)(2004), 161–169.
  4. Caldas, M., Ganster, M., Georgiou, D. N., Jafari, S., Noiri, T., On θ-semiopen sets and separation axioms in topological spaces, Carpathian J. Math., 24(1)(2008), 13–22.
  5. Devika, A., Thilagavathi, A., M∗-open sets in topological spaces, International Journal of Mathematics and Its Applications, 4(1-B)(2016), 1–8.
  6. Goyal, N., Noorie, N.S., θ-closure and T2 12 spaces via ideals, Italian Journal of Pure and Applied Mathematics, 41(2019), 571–583.
  7. Jankovi´c, D., Hamlett, T.R., New topologies from old via ideals, Amer. Math. Monthly, 97(4)(1990), 295–310.
  8. Joseph, J.E., θ-closure and θ-subclosed graphs, Math. Chronicle, 8(1979), 99–117.

Details

Primary Language

English

Subjects

Topology

Journal Section

Research Article

Publication Date

February 23, 2026

Submission Date

August 1, 2025

Acceptance Date

December 1, 2025

Published in Issue

Year 2026 Volume: 18 Number: 1

APA
Tunç, A. N., & Özen Yıldırım, S. (2026). A Study On Various Relations. Turkish Journal of Mathematics and Computer Science, 18(1), 281-288. https://doi.org/10.47000/tjmcs.1756370
AMA
1.Tunç AN, Özen Yıldırım S. A Study On Various Relations. TJMCS. 2026;18(1):281-288. doi:10.47000/tjmcs.1756370
Chicago
Tunç, Ayşe Nur, and Sena Özen Yıldırım. 2026. “A Study On Various Relations”. Turkish Journal of Mathematics and Computer Science 18 (1): 281-88. https://doi.org/10.47000/tjmcs.1756370.
EndNote
Tunç AN, Özen Yıldırım S (February 1, 2026) A Study On Various Relations. Turkish Journal of Mathematics and Computer Science 18 1 281–288.
IEEE
[1]A. N. Tunç and S. Özen Yıldırım, “A Study On Various Relations”, TJMCS, vol. 18, no. 1, pp. 281–288, Feb. 2026, doi: 10.47000/tjmcs.1756370.
ISNAD
Tunç, Ayşe Nur - Özen Yıldırım, Sena. “A Study On Various Relations”. Turkish Journal of Mathematics and Computer Science 18/1 (February 1, 2026): 281-288. https://doi.org/10.47000/tjmcs.1756370.
JAMA
1.Tunç AN, Özen Yıldırım S. A Study On Various Relations. TJMCS. 2026;18:281–288.
MLA
Tunç, Ayşe Nur, and Sena Özen Yıldırım. “A Study On Various Relations”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 1, Feb. 2026, pp. 281-8, doi:10.47000/tjmcs.1756370.
Vancouver
1.Ayşe Nur Tunç, Sena Özen Yıldırım. A Study On Various Relations. TJMCS. 2026 Feb. 1;18(1):281-8. doi:10.47000/tjmcs.1756370