Quasi-2-Normed Spaces and Some Fixed Point Theorems

Authors

Kristaq Kikina, Department of Mathematics and Computer Science, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra 6001, AlbaniaFollow
Luljeta Gjoni, Department of Mathematics and Computer Science, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra 6001, AlbaniaFollow
Kostaq Hila, Department of Mathematics and Computer Science, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra 6001, AlbaniaFollow

Author Country (or Countries)

Albania

Abstract

In [9], it was introduced the notion of quasi-2-normed spaces. In that paper and the others following it, no example of a quasi-2-normed space not being a 2-normed space is provided. In this paper it is shown the existence of quasi-2-normed spaces and also, there are provided theorems that extend in quasi-2-normed spaces some well-known theorems for almost contractions.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100209

Recommended Citation

Kikina, Kristaq; Gjoni, Luljeta; and Hila, Kostaq (2016) "Quasi-2-Normed Spaces and Some Fixed Point Theorems," Applied Mathematics & Information Sciences: Vol. 10: Iss. 2, Article 9.
DOI: http://dx.doi.org/10.18576/amis/100209
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss2/9