On S-normed spaces
Main Article Content
Abstract
The study focused on expanding the concept of 2-normed spaces by developing a new definition ( -normed space), and the study concentrated on the convergent of sequences and Cauchy sequences in our definition, as well as some other branches such as linear transformation and contraction.
Article Details

This work is licensed under a Creative Commons Attribution 4.0 International License.
Tikrit Journal of Pure Science is licensed under the Creative Commons Attribution 4.0 International License, which allows users to copy, create extracts, abstracts, and new works from the article, alter and revise the article, and make commercial use of the article (including reuse and/or resale of the article by commercial entities), provided the user gives appropriate credit (with a link to the formal publication through the relevant DOI), provides a link to the license, indicates if changes were made, and the licensor is not represented as endorsing the use made of the work. The authors hold the copyright for their published work on the Tikrit J. Pure Sci. website, while Tikrit J. Pure Sci. is responsible for appreciate citation of their work, which is released under CC-BY-4.0, enabling the unrestricted use, distribution, and reproduction of an article in any medium, provided that the original work is properly cited.
References
[1] Gähler, S. (1965). Lineare 2-normietre Räume. Math. Nachr. 28(1-2):1-43.
[2] Gähler, S. (1965). Uber der Uniformisierbarkeit 2-metrische Räume. Math. Nachr, 28(3-4):235-244.
[3] Gähler ,S.(1963). 2-metrische Räume und ihre topologische Struktur. Math. Nachr, 26(1-4):115-148.
[4] Das, D.; Goswmai ,N. and Vandana. (2017). Some fixed point theorems in 2-Banach theorem and 2- normed tensor product spaces. New tends in mathematical science, 12(1):1-12.
[5] Hendra, G. and Mashadi. (2001). On finite dimensional 2-normed space. Soochow journal of mathematics, 27(3):321-329.
[6] Malĉeski, R.; Manova-Erakovic, V. and Malĉeski, A. (2016). Some Inequalities in Quasi 2-normed space Lp(μ), 0
[7] Elumalai, S.; Vijayaragavan, R. (2009). Characterizations of best approximations in linear 2-normed spaces. General Mathematics, 17(2):141-160.
[8] Sibel, E.; Hüseyin,C. (2015). Ward continuity in 2-normed spaces. Filomat, 29(7):1507-1513.
[9] Neeraj, S.; Bhaattacharya, S., and Lal, S. N. (2010). 2-normed algebras-I. Publication de l’institut mathématique, 88(102):111-121.
[10] Hendra, G. and Mashadi. (2001). On n-normed spaces. IJMMS, 27(10): 631-639.