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Some Fixed Point Theorems in Extended Fuzzy Metric Spaces

Cilt: 16 Sayı: 1 31 Mart 2023
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Some Fixed Point Theorems in Extended Fuzzy Metric Spaces

Öz

In this article, we would like to present a newly fuzzy contraction mapping and using it we would like to prove a fixed point theorem. In fact, we transfer this contraction mapping, first defined in metric spaces [15], and then transferred to fuzzy metric spaces [9] with modification, to extended fuzzy metric spaces [6]. And so we prove some fixed point theorems [9] existing in the literature in the new spaces [6].

Anahtar Kelimeler

Kaynakça

  1. Banach, S., 1922. Sur les oprations dans les ensembles abstrails et leur application aux quations intgrales, Fund Math., vol. 3, 133-181.
  2. Di Bari, C., Vetro, C., 2005. Fixed points, attractors and weak fuzzy contractive mappings in a fuzzy metric space, J. Fuzzy Math., 13(4), 973-982.
  3. George, A., Veeramani, P., 1994. On some results in fuzzy metric spaces, Fuzzy Sets and Systems, 64, 395-399.
  4. Gopal, D. and Vetro, C., 2014. Some new fixed point theorems in fuzzy metric spaces, Iranian Journal of Fuzzy Systems,Vol.11, No.3, 95-107.
  5. Grabiec, M., 1988. Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems, 27, 385-389.
  6. Gregori, V., Minana, J. J. and Miravet, D., 2019. Extended fuzzy metrics and fixed point theorems, Mathematics Journal, 7, 303.
  7. Gregori, V., Romaguera, S., 2014. Characterizing completable fuzzy metric spaces, Fuzzy Sets and Systems, 144, 411-420.
  8. Gregori,V., Sapena, A., 2002. On fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems, 125, 245-252.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Mart 2023

Gönderilme Tarihi

20 Temmuz 2022

Kabul Tarihi

10 Ekim 2022

Yayımlandığı Sayı

Yıl 2023 Cilt: 16 Sayı: 1

Kaynak Göster

APA
Şenocak, M., & Güner, E. (2023). Some Fixed Point Theorems in Extended Fuzzy Metric Spaces. Erzincan University Journal of Science and Technology, 16(1), 67-75. https://doi.org/10.18185/erzifbed.1146294
AMA
1.Şenocak M, Güner E. Some Fixed Point Theorems in Extended Fuzzy Metric Spaces. Erzincan University Journal of Science and Technology. 2023;16(1):67-75. doi:10.18185/erzifbed.1146294
Chicago
Şenocak, Meryem, ve Erdal Güner. 2023. “Some Fixed Point Theorems in Extended Fuzzy Metric Spaces”. Erzincan University Journal of Science and Technology 16 (1): 67-75. https://doi.org/10.18185/erzifbed.1146294.
EndNote
Şenocak M, Güner E (01 Mart 2023) Some Fixed Point Theorems in Extended Fuzzy Metric Spaces. Erzincan University Journal of Science and Technology 16 1 67–75.
IEEE
[1]M. Şenocak ve E. Güner, “Some Fixed Point Theorems in Extended Fuzzy Metric Spaces”, Erzincan University Journal of Science and Technology, c. 16, sy 1, ss. 67–75, Mar. 2023, doi: 10.18185/erzifbed.1146294.
ISNAD
Şenocak, Meryem - Güner, Erdal. “Some Fixed Point Theorems in Extended Fuzzy Metric Spaces”. Erzincan University Journal of Science and Technology 16/1 (01 Mart 2023): 67-75. https://doi.org/10.18185/erzifbed.1146294.
JAMA
1.Şenocak M, Güner E. Some Fixed Point Theorems in Extended Fuzzy Metric Spaces. Erzincan University Journal of Science and Technology. 2023;16:67–75.
MLA
Şenocak, Meryem, ve Erdal Güner. “Some Fixed Point Theorems in Extended Fuzzy Metric Spaces”. Erzincan University Journal of Science and Technology, c. 16, sy 1, Mart 2023, ss. 67-75, doi:10.18185/erzifbed.1146294.
Vancouver
1.Meryem Şenocak, Erdal Güner. Some Fixed Point Theorems in Extended Fuzzy Metric Spaces. Erzincan University Journal of Science and Technology. 01 Mart 2023;16(1):67-75. doi:10.18185/erzifbed.1146294