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
- 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
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
March 30, 2018
Submission Date
October 15, 2017
Acceptance Date
February 15, 2018
Published in Issue
Year 2018 Volume: 14 Number: 1
Cited By
Flexible metamaterial design based on wearable material for microwave energy harvesting
Bulletin of Materials Science
https://doi.org/10.1007/s12034-022-02760-yYeni Bir Genelleştirilmiş Normlu Uzay: A-Normlu Uzaylar
Düzce Üniversitesi Bilim ve Teknoloji Dergisi
https://doi.org/10.29130/dubited.984464