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Year 2018, Volume: 14 Issue: 1, 1 - 12, 30.03.2018

Ali Mutlu Utku Gürdal Kübra Özkan

https://doi.org/10.18466/cbayarfbe.407993
Cited By: 2

Abstract

References

  • 1. Mustafa, Z. and Sims, B.; A new approach to generalized metric spaces, Journal of Nonlinear and Convex Analysis. 2006, 7(2), 289-297.
  • 2. Dhage, B. C.; Generalized metric space and mapping with fixed point. Bulletin of the Calcutta Mathematical Society. 1992, 84, 329-336.
  • 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. 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. Gahler, S.; 2-Metrische Raume und ihre topologische struktur. (German) Mathematische Nachrichten. 1963, 26, 115-148.
  • 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. Maddox, I. J.; Elements of functional analysis. Second edition. Cambridge University Press, Cambridge, 1988; pp. 242

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

Year 2018, Volume: 14 Issue: 1, 1 - 12, 30.03.2018

Ali Mutlu Utku Gürdal Kübra Özkan

https://doi.org/10.18466/cbayarfbe.407993
Cited By: 2

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

completion generalized Banach space generalized metric space

References

  • 1. Mustafa, Z. and Sims, B.; A new approach to generalized metric spaces, Journal of Nonlinear and Convex Analysis. 2006, 7(2), 289-297.
  • 2. Dhage, B. C.; Generalized metric space and mapping with fixed point. Bulletin of the Calcutta Mathematical Society. 1992, 84, 329-336.
  • 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. 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. Gahler, S.; 2-Metrische Raume und ihre topologische struktur. (German) Mathematische Nachrichten. 1963, 26, 115-148.
  • 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. Maddox, I. J.; Elements of functional analysis. Second edition. Cambridge University Press, Cambridge, 1988; pp. 242
There are 7 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Ali Mutlu

Utku Gürdal This is me

Kübra Özkan This is me

Publication Date March 30, 2018
Published in Issue Year 2018 Volume: 14 Issue: 1

Cite

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

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