EN
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
- Banach, S., 1922. Sur les oprations dans les ensembles abstrails et leur application aux quations intgrales, Fund Math., vol. 3, 133-181.
- 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.
- George, A., Veeramani, P., 1994. On some results in fuzzy metric spaces, Fuzzy Sets and Systems, 64, 395-399.
- 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.
- Grabiec, M., 1988. Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems, 27, 385-389.
- Gregori, V., Minana, J. J. and Miravet, D., 2019. Extended fuzzy metrics and fixed point theorems, Mathematics Journal, 7, 303.
- Gregori, V., Romaguera, S., 2014. Characterizing completable fuzzy metric spaces, Fuzzy Sets and Systems, 144, 411-420.
- 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
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