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Dergiler / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2018 / Cilt: 14 - Sayı: 1

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

Ali MUTLU
Utku GÜRDAL
Kübra ÖZKAN
Sayfa
1–12
Yayın Tarihi
2018-03-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Some constructions are described within this structure and some related results are obtained.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we introduce functionally generalized normed spaces as a generalization of G - metric spaces and normed spaces.
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Temel Bulgular & Veri:In this paper, we introduce functionally generalized normed spaces as a generalization of G - metric spaces and normed spaces.
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Sonuç & Katkı:Some constructions are described within this structure and some related results are obtained.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:completion · generalized Banach space · generalized metric space

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.

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Bu Makaleye Atıf Yap

MUTLU, A., GÜRDAL, U., ÖZKAN, K. (2018). A New Approach to G-Normed Spaces: Functionally Generalized Normed Spaces. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 14 - Sayı: 1, 1–12. https://ajindex.com/articles/109864

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Kaynakça (7)

  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