Research Article

A study on nonsymmetric cone normed spaces

Volume: 22 Number: 1 January 10, 2020
  • Merve İlkhan *
EN TR

A study on nonsymmetric cone normed spaces

Abstract

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.

Keywords

References

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  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).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Merve İlkhan * This is me
0000-0002-0831-1474
Türkiye

Publication Date

January 10, 2020

Submission Date

September 24, 2019

Acceptance Date

January 30, 2020

Published in Issue

Year 2020 Volume: 22 Number: 1

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. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü 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 (January 1, 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”, Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 22, no. 1, pp. 381–393, Jan. 2020, doi: 10.25092/baunfbed.685159.
ISNAD
İlkhan, Merve. “A Study on Nonsymmetric Cone Normed Spaces”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/1 (January 1, 2020): 381-393. https://doi.org/10.25092/baunfbed.685159.
JAMA
1.İlkhan M. A study on nonsymmetric cone normed spaces. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020;22:381–393.
MLA
İlkhan, Merve. “A Study on Nonsymmetric Cone Normed Spaces”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 22, no. 1, Jan. 2020, pp. 381-93, doi:10.25092/baunfbed.685159.
Vancouver
1.Merve İlkhan. A study on nonsymmetric cone normed spaces. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020 Jan. 1;22(1):381-93. doi:10.25092/baunfbed.685159