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A study on nonsymmetric cone normed spaces

Cilt: 22 Sayı: 1 10 Ocak 2020
  • Merve İlkhan *
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A study on nonsymmetric cone normed spaces

Öz

In the realms of theoretical computer science and approximation theory, asymetric normed spaces play an important role. In this paper, by combining asymmetric norm and cone norm, it is defined asymmetric cone normed spaces. Also, it is introduced and studied some topological concepts in asymmetric cone normed spaces.

Anahtar Kelimeler

Kaynakça

  1. Long-Guang, H. and Xian, Z., Cone metric spaces and fixed point theorems of contractive mappings, Journal of Mathematical Analysis and Applications, 332, 1468-1476, (2007).
  2. Türkoğlu, D. and Abuloha, M., Cone metric spaces and fixed point theorems in diametrically contractive mappings, Acta Mathematica Sinica, English Series, 26, 3, 489-496, (2010).
  3. Abdeljawad, T., Türkoğlu, D. and Abuloha, M., Some theorems and examples of cone Banach spaces, Journal of Computational Analysis and Applications, 12, 4, 739-753, (2010).
  4. Gordji, M. E., Ramezani, M. Khodaei H. and Baghani, H., Cone normed spaces, Caspian Journal of Mathematical Sciences, 1, 1, 7-12, (2012).
  5. Deimling, K., Nonlinear functional analysis, Springer-Verlag, Berlin, (1985).
  6. Radenovic, S. and Kadelburg, Z., Quasi-contractions on symmetric and cone symmetric spaces, Banach Journal of Mathematical Analysis, 5, 38-50, (2011).
  7. Wilson, W. A., On quasi metric spaces, American Journal of Mathematics, 53, 675-684, (1931).
  8. Garcia-Raffi, L. M., Compactness and finite dimension in asymmetric normed linear spaces, Topology and Its Applications, 153, 844-853, (2005).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

10 Ocak 2020

Gönderilme Tarihi

24 Eylül 2019

Kabul Tarihi

30 Ocak 2020

Yayımlandığı Sayı

Yıl 2020 Cilt: 22 Sayı: 1

Kaynak Göster

APA
İlkhan, M. (2020). A study on nonsymmetric cone normed spaces. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22(1), 381-393. https://doi.org/10.25092/baunfbed.685159
AMA
1.İlkhan M. A study on nonsymmetric cone normed spaces. BAUN Fen. Bil. Enst. Dergisi. 2020;22(1):381-393. doi:10.25092/baunfbed.685159
Chicago
İlkhan, Merve. 2020. “A study on nonsymmetric cone normed spaces”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (1): 381-93. https://doi.org/10.25092/baunfbed.685159.
EndNote
İlkhan M (01 Ocak 2020) A study on nonsymmetric cone normed spaces. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 1 381–393.
IEEE
[1]M. İlkhan, “A study on nonsymmetric cone normed spaces”, BAUN Fen. Bil. Enst. Dergisi, c. 22, sy 1, ss. 381–393, Oca. 2020, doi: 10.25092/baunfbed.685159.
ISNAD
İlkhan, Merve. “A study on nonsymmetric cone normed spaces”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/1 (01 Ocak 2020): 381-393. https://doi.org/10.25092/baunfbed.685159.
JAMA
1.İlkhan M. A study on nonsymmetric cone normed spaces. BAUN Fen. Bil. Enst. Dergisi. 2020;22:381–393.
MLA
İlkhan, Merve. “A study on nonsymmetric cone normed spaces”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 22, sy 1, Ocak 2020, ss. 381-93, doi:10.25092/baunfbed.685159.
Vancouver
1.Merve İlkhan. A study on nonsymmetric cone normed spaces. BAUN Fen. Bil. Enst. Dergisi. 01 Ocak 2020;22(1):381-93. doi:10.25092/baunfbed.685159