Araştırma Makalesi

Fixed point results with $c_A$ distance in cone A-metric spaces

Cilt: 8 Sayı: 2 19 Ekim 2025
PDF İndir
EN

Fixed point results with $c_A$ distance in cone A-metric spaces

Öz

In this paper, the concept of a $c_A$-distance in a cone A-metric space with some illustrative examples is presented. Then, some common fixed point theorems for weakly compatible self mappings are gotten by using this new distance. Also, some common fixed point results in cone A-metric spaces for weakly compatible self mappings are held without assumption of the normality for cones.

Anahtar Kelimeler

Kaynakça

  1. Abbas, M., & Jungck, G. (2008). Common fixed point results for noncommuting mappings without continuity in cone metric spaces. Journal of Mathematical Analysis and Applications, 341 (1), 416–420.
  2. Abbas, M., & Rhoades, B. E. (2009). Fixed and periodic point results in cone metric spaces. Applied Mathematics Letters, 22 (4), 511–515.
  3. Abbas, M., Ali, B., & Suleiman, Y. I. (2015). Generalized coupled common fixed point results in partially ordered A-metric spaces. Fixed Point Theory and Applications, 2015, 1–24.
  4. Singh, K. A., & Singh, M. R. (2018). Some fixed point theorems of cone Sb-metric space. Journal of the Indian Academy of Mathematics, 40, 255–272.
  5. Singh, K. A., & Singh, M. R. (2020). Some coupled fixed point theorems in cone Sb-metric space. Journal of Mathematics and Computer Science, 10, 891–905.
  6. Aghajani, A., Abbas, M., & Roshan, J. R. (2014). Common fixed point of generalized weak contractile mappings in partially ordered Gb-metric spaces. Filomat, 28 (6), 1087–1101. https://doi.org/10. 2298/FIL1406087A
  7. Aleksić, S., Kadelburg, Z., Mitrović, Z. D., & Radenović, S. (2018). A new survey: Cone metric spaces. arXiv. https://arxiv.org/abs/1805.04795
  8. Bakhtin, I. A. (1989). The contraction mapping principle in almost metric spaces. Funct. Anal., Gos. Ped. Inst. Unianow’sk, 30, 26–37.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Operatör Cebirleri ve Fonksiyonel Analiz, Topoloji

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

19 Ekim 2025

Gönderilme Tarihi

18 Ekim 2024

Kabul Tarihi

1 Ekim 2025

Yayımlandığı Sayı

Yıl 2025 Cilt: 8 Sayı: 2

Kaynak Göster

APA
Bilgili Güngör, N., & Uluçınar, B. E. (2025). Fixed point results with $c_A$ distance in cone A-metric spaces. Journal of Universal Mathematics, 8(2), 120-132. https://izlik.org/JA52SN24MD
AMA
1.Bilgili Güngör N, Uluçınar BE. Fixed point results with $c_A$ distance in cone A-metric spaces. JUM. 2025;8(2):120-132. https://izlik.org/JA52SN24MD
Chicago
Bilgili Güngör, Nurcan, ve Buse Elif Uluçınar. 2025. “Fixed point results with $c_A$ distance in cone A-metric spaces”. Journal of Universal Mathematics 8 (2): 120-32. https://izlik.org/JA52SN24MD.
EndNote
Bilgili Güngör N, Uluçınar BE (01 Ekim 2025) Fixed point results with $c_A$ distance in cone A-metric spaces. Journal of Universal Mathematics 8 2 120–132.
IEEE
[1]N. Bilgili Güngör ve B. E. Uluçınar, “Fixed point results with $c_A$ distance in cone A-metric spaces”, JUM, c. 8, sy 2, ss. 120–132, Eki. 2025, [çevrimiçi]. Erişim adresi: https://izlik.org/JA52SN24MD
ISNAD
Bilgili Güngör, Nurcan - Uluçınar, Buse Elif. “Fixed point results with $c_A$ distance in cone A-metric spaces”. Journal of Universal Mathematics 8/2 (01 Ekim 2025): 120-132. https://izlik.org/JA52SN24MD.
JAMA
1.Bilgili Güngör N, Uluçınar BE. Fixed point results with $c_A$ distance in cone A-metric spaces. JUM. 2025;8:120–132.
MLA
Bilgili Güngör, Nurcan, ve Buse Elif Uluçınar. “Fixed point results with $c_A$ distance in cone A-metric spaces”. Journal of Universal Mathematics, c. 8, sy 2, Ekim 2025, ss. 120-32, https://izlik.org/JA52SN24MD.
Vancouver
1.Nurcan Bilgili Güngör, Buse Elif Uluçınar. Fixed point results with $c_A$ distance in cone A-metric spaces. JUM [Internet]. 01 Ekim 2025;8(2):120-32. Erişim adresi: https://izlik.org/JA52SN24MD