Multimetric Spaces

Abstract

In the context of multisets, concepts such as multinumber, multimetric, multinorm, and multitopology have been examined, leading to the development of analytical tools that involve inequalities with a finite number of strengthened layers of truth. By establishing certain connections between these structures, the concepts have been clarified, thus laying the foundation for a theory open to further development.

Keywords

References

  1. Akçay, D. and Alaca, C. (2024). Coupled fixed point theorems in dislocated quasi-metric spaces. Journal of Advanced Studies in Topology, 4(1):66.
  2. Al Tahan, M., Hosková-Mayerová, S., and Davvaz, B. (2020). Fuzzy multi-polygroups. Journal of Intelligent & Fuzzy Systems, 38(2):2337–2345.
  3. Al Tahan, M., Hosková-Mayerová, S., and Davvaz, B. (2021). An approach to fuzzy multi-ideals of near rings. Journal of Intelligent & Fuzzy Systems, 41(6):6233–6243.
  4. Alhazov, A., Freund, R., Ivanov, S., and Verlan, S. (2022). Tissue p systems with vesicles of multisets. International Journal of Foundations of Computer Science, 33(03N04):179–202.
  5. Ali, N., Siddiqui, H. M. A., Qureshi, M. I., Abdallah, S. A. O., Almahri, A., Asad, J., and Akgül, A. (2024). Exploring ring structures: multiset dimension analysis in compressed zero-divisor graphs. Symmetry, 16(7).
  6. Alias, S., Mohamad, D., and Shuib, A. (2017). Rough neutrosophic multisets. Neutrosophic Sets and Systems, 16:80–88.
  7. Aman, B. and Ciobanu, G. (2021). Knowledge dynamics and behavioural equivalences in multi-agent systems. Mathematics, 9(22).
  8. Bekmetjev, A., Brightwell, G., Czygrinow, A., and Hurlbert, G. (2003). Thresholds for families of multisets, with an application to graph pebbling. Discrete Mathematics, 269(1–3):21–34.

Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis, Topology

Journal Section

Research Article

Publication Date

June 30, 2026

Submission Date

March 6, 2025

Acceptance Date

December 10, 2025

Published in Issue

Year 2026 Volume: 75 Number: 2

APA
Gürdal, U., Çetin, S., Yapalı, R., Özkan, K., Uyanık Ekici, E., Şanlı, Z., & Mutlu, A. (2026). Multimetric Spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 75(2), 297-316. https://doi.org/10.31801/cfsuasmas.1652738
AMA
1.Gürdal U, Çetin S, Yapalı R, et al. Multimetric Spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026;75(2):297-316. doi:10.31801/cfsuasmas.1652738
Chicago
Gürdal, Utku, Selim Çetin, Reha Yapalı, et al. 2026. “Multimetric Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75 (2): 297-316. https://doi.org/10.31801/cfsuasmas.1652738.
EndNote
Gürdal U, Çetin S, Yapalı R, Özkan K, Uyanık Ekici E, Şanlı Z, Mutlu A (June 1, 2026) Multimetric Spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75 2 297–316.
IEEE
[1]U. Gürdal et al., “Multimetric Spaces”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 75, no. 2, pp. 297–316, June 2026, doi: 10.31801/cfsuasmas.1652738.
ISNAD
Gürdal, Utku - Çetin, Selim - Yapalı, Reha - Özkan, Kübra - Uyanık Ekici, Elif - Şanlı, Zafer - Mutlu, Ali. “Multimetric Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75/2 (June 1, 2026): 297-316. https://doi.org/10.31801/cfsuasmas.1652738.
JAMA
1.Gürdal U, Çetin S, Yapalı R, Özkan K, Uyanık Ekici E, Şanlı Z, Mutlu A. Multimetric Spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026;75:297–316.
MLA
Gürdal, Utku, et al. “Multimetric Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 75, no. 2, June 2026, pp. 297-16, doi:10.31801/cfsuasmas.1652738.
Vancouver
1.Utku Gürdal, Selim Çetin, Reha Yapalı, Kübra Özkan, Elif Uyanık Ekici, Zafer Şanlı, Ali Mutlu. Multimetric Spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026 Jun. 1;75(2):297-316. doi:10.31801/cfsuasmas.1652738