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On Multi-G-Metric Spaces

Yıl 2023, , 91 - 99, 30.09.2023
https://doi.org/10.32323/ujma.1297362

Öz

Multisets have many applications in a variety of fields today, including computer science, medicine, banking, engineering, information storage, and information analysis. In this paper, we present a new generalized multi-G-metric space, a multi-G-metric space. We investigate some of its fundamental details, connections, and topological characteristics.

Destekleyen Kurum

Ege University Scientific Research Projects Coordination Unit

Proje Numarası

FM-YLT-2022-23913

Teşekkür

We would like to thank Ege University for its support within the scope of Ege University Scientific Research Project (FM-YLT-2022-23913) in order to carry out these studies.

Kaynakça

  • [1] W. D. Blizard, Mset theory, Notre Dame J. Form. Log., 30(1) (1989), 36-66.
  • [2] W. D. Blizard, Real-valued multisets and fuzzy sets, Fuzzy Sets Syst., 33(1), (1989), 77-97.
  • [3] G. F. Clements, On mset k-families, Discrete Math., 69(2) (1988), 153-164.
  • [4] M. Conder, S. Marshall, A. M. Slinko, Orders on multisets and discrete cones, Order-A Journal on The Theory of Ordered Sets and Its Applications, 24 (2007), 277-296.
  • [5] D. Singh, A. M. Ibrahim, T. Yohana, J. N. Singh, Some combinatorics of multisets, Int. J. Math. Educ. Sci. Technol., 34(4) (2003), 489–499.
  • [6] D. Singh, A. M. Ibrahim, T. Yohana, J. N. Singh, An overview of the applications of multisets, Novi Sad J. Math., 37(2) (2007), 73–92.
  • [7] D. Singh, A. M. Ibrahim, T. Yohana, J. N. Singh, Complementation in mset theory, Int. Math. Forum, 6(38) (2011), 1877–1884.
  • [8] Z. Mustafa, B. Sims, A new approach to generalized metric spaces, J. Nonlinear Convex Anal., 7(2) (2006), 289-297.
  • [9] A. George, P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets Syst., 64 (1994), 395-399.
  • [10] L. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332 (2007), 1468-1476.
  • [11] S. Das, R. Roy, An introduction to multi metric spaces, Adv. Dyn. Syst. Appl., 16(2) (2021), 605-618.
  • [12] S. Das, R. Roy, Some topological properties of multi metric spaces, J. Math. Comput. Sci., 11 (2021), 7253-7268.
  • [13] K. P. Girish, S. J. John, Mset topologies induced by mset relations, Inf. Sci., 188 (2012), 298-313.
Yıl 2023, , 91 - 99, 30.09.2023
https://doi.org/10.32323/ujma.1297362

Öz

Proje Numarası

FM-YLT-2022-23913

Kaynakça

  • [1] W. D. Blizard, Mset theory, Notre Dame J. Form. Log., 30(1) (1989), 36-66.
  • [2] W. D. Blizard, Real-valued multisets and fuzzy sets, Fuzzy Sets Syst., 33(1), (1989), 77-97.
  • [3] G. F. Clements, On mset k-families, Discrete Math., 69(2) (1988), 153-164.
  • [4] M. Conder, S. Marshall, A. M. Slinko, Orders on multisets and discrete cones, Order-A Journal on The Theory of Ordered Sets and Its Applications, 24 (2007), 277-296.
  • [5] D. Singh, A. M. Ibrahim, T. Yohana, J. N. Singh, Some combinatorics of multisets, Int. J. Math. Educ. Sci. Technol., 34(4) (2003), 489–499.
  • [6] D. Singh, A. M. Ibrahim, T. Yohana, J. N. Singh, An overview of the applications of multisets, Novi Sad J. Math., 37(2) (2007), 73–92.
  • [7] D. Singh, A. M. Ibrahim, T. Yohana, J. N. Singh, Complementation in mset theory, Int. Math. Forum, 6(38) (2011), 1877–1884.
  • [8] Z. Mustafa, B. Sims, A new approach to generalized metric spaces, J. Nonlinear Convex Anal., 7(2) (2006), 289-297.
  • [9] A. George, P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets Syst., 64 (1994), 395-399.
  • [10] L. Huang, X. Zhang, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332 (2007), 1468-1476.
  • [11] S. Das, R. Roy, An introduction to multi metric spaces, Adv. Dyn. Syst. Appl., 16(2) (2021), 605-618.
  • [12] S. Das, R. Roy, Some topological properties of multi metric spaces, J. Math. Comput. Sci., 11 (2021), 7253-7268.
  • [13] K. P. Girish, S. J. John, Mset topologies induced by mset relations, Inf. Sci., 188 (2012), 298-313.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Ecemnur Mutlu 0000-0002-8788-8000

Ayşegül Çaksu Güler 0000-0002-6811-9919

Proje Numarası FM-YLT-2022-23913
Erken Görünüm Tarihi 18 Eylül 2023
Yayımlanma Tarihi 30 Eylül 2023
Gönderilme Tarihi 15 Mayıs 2023
Kabul Tarihi 29 Temmuz 2023
Yayımlandığı Sayı Yıl 2023

Kaynak Göster

APA Mutlu, E., & Çaksu Güler, A. (2023). On Multi-G-Metric Spaces. Universal Journal of Mathematics and Applications, 6(3), 91-99. https://doi.org/10.32323/ujma.1297362
AMA Mutlu E, Çaksu Güler A. On Multi-G-Metric Spaces. Univ. J. Math. Appl. Eylül 2023;6(3):91-99. doi:10.32323/ujma.1297362
Chicago Mutlu, Ecemnur, ve Ayşegül Çaksu Güler. “On Multi-G-Metric Spaces”. Universal Journal of Mathematics and Applications 6, sy. 3 (Eylül 2023): 91-99. https://doi.org/10.32323/ujma.1297362.
EndNote Mutlu E, Çaksu Güler A (01 Eylül 2023) On Multi-G-Metric Spaces. Universal Journal of Mathematics and Applications 6 3 91–99.
IEEE E. Mutlu ve A. Çaksu Güler, “On Multi-G-Metric Spaces”, Univ. J. Math. Appl., c. 6, sy. 3, ss. 91–99, 2023, doi: 10.32323/ujma.1297362.
ISNAD Mutlu, Ecemnur - Çaksu Güler, Ayşegül. “On Multi-G-Metric Spaces”. Universal Journal of Mathematics and Applications 6/3 (Eylül 2023), 91-99. https://doi.org/10.32323/ujma.1297362.
JAMA Mutlu E, Çaksu Güler A. On Multi-G-Metric Spaces. Univ. J. Math. Appl. 2023;6:91–99.
MLA Mutlu, Ecemnur ve Ayşegül Çaksu Güler. “On Multi-G-Metric Spaces”. Universal Journal of Mathematics and Applications, c. 6, sy. 3, 2023, ss. 91-99, doi:10.32323/ujma.1297362.
Vancouver Mutlu E, Çaksu Güler A. On Multi-G-Metric Spaces. Univ. J. Math. Appl. 2023;6(3):91-9.

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