Research Article

A New Approach to G-Normed Spaces: Functionally Generalized Normed Spaces

Volume: 14 Number: 1 March 30, 2018
EN

A New Approach to G-Normed Spaces: Functionally Generalized Normed Spaces

Abstract

In this paper, we introduce functionally generalized normed spaces as a generalization of G - metric spaces and normed spaces. Some constructions are described within this structure and some related results are obtained.

Keywords

References

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  2. 2. Dhage, B. C.; Generalized metric space and mapping with fixed point. Bulletin of the Calcutta Mathematical Society. 1992, 84, 329-336.
  3. 3. Mohammedpour, A. and Shobe, N.; Stability of additive mappings in generalized normed space, TamsuiOxf. Jornal of Informatics and Mathematical Sciences. 2013, 29(2), 201-217.
  4. 4. Shrivastava, R., Animesh, G. and Yadava, R. N.; Some mapping on G  Banach space. International Journal of Mathematical Science and Engineering Applied. 2011, 5 (IV), 245-260.
  5. 5. Gahler, S.; 2-Metrische Raume und ihre topologische struktur. (German) Mathematische Nachrichten. 1963, 26, 115-148.
  6. 6. Fernandez, J. and Malviya, N.; Pseudo-G-metric spaces and pseudo- G metric product spaces. South Asian Journal of Mathematics. 2013, 3 (1), 339-343.
  7. 7. Maddox, I. J.; Elements of functional analysis. Second edition. Cambridge University Press, Cambridge, 1988; pp. 242

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Utku Gürdal This is me

Kübra Özkan This is me

Publication Date

March 30, 2018

Submission Date

October 15, 2017

Acceptance Date

February 15, 2018

Published in Issue

Year 2018 Volume: 14 Number: 1

APA
Mutlu, A., Gürdal, U., & Özkan, K. (2018). A New Approach to G-Normed Spaces: Functionally Generalized Normed Spaces. Celal Bayar University Journal of Science, 14(1), 1-12. https://doi.org/10.18466/cbayarfbe.407993
AMA
1.Mutlu A, Gürdal U, Özkan K. A New Approach to G-Normed Spaces: Functionally Generalized Normed Spaces. CBUJOS. 2018;14(1):1-12. doi:10.18466/cbayarfbe.407993
Chicago
Mutlu, Ali, Utku Gürdal, and Kübra Özkan. 2018. “A New Approach to G-Normed Spaces: Functionally Generalized Normed Spaces”. Celal Bayar University Journal of Science 14 (1): 1-12. https://doi.org/10.18466/cbayarfbe.407993.
EndNote
Mutlu A, Gürdal U, Özkan K (March 1, 2018) A New Approach to G-Normed Spaces: Functionally Generalized Normed Spaces. Celal Bayar University Journal of Science 14 1 1–12.
IEEE
[1]A. Mutlu, U. Gürdal, and K. Özkan, “A New Approach to G-Normed Spaces: Functionally Generalized Normed Spaces”, CBUJOS, vol. 14, no. 1, pp. 1–12, Mar. 2018, doi: 10.18466/cbayarfbe.407993.
ISNAD
Mutlu, Ali - Gürdal, Utku - Özkan, Kübra. “A New Approach to G-Normed Spaces: Functionally Generalized Normed Spaces”. Celal Bayar University Journal of Science 14/1 (March 1, 2018): 1-12. https://doi.org/10.18466/cbayarfbe.407993.
JAMA
1.Mutlu A, Gürdal U, Özkan K. A New Approach to G-Normed Spaces: Functionally Generalized Normed Spaces. CBUJOS. 2018;14:1–12.
MLA
Mutlu, Ali, et al. “A New Approach to G-Normed Spaces: Functionally Generalized Normed Spaces”. Celal Bayar University Journal of Science, vol. 14, no. 1, Mar. 2018, pp. 1-12, doi:10.18466/cbayarfbe.407993.
Vancouver
1.Ali Mutlu, Utku Gürdal, Kübra Özkan. A New Approach to G-Normed Spaces: Functionally Generalized Normed Spaces. CBUJOS. 2018 Mar. 1;14(1):1-12. doi:10.18466/cbayarfbe.407993

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