Fixed point theorems in normal n-normed spaces
Abstract
In this paper, we extend the definitions of normal structure and geometric properties in $n$-normed spaces. Fixed point theorems for nonexpansive mappings are proved via the normal structure condition in $n$-normed spaces. The purpose of this work is keeping continuity of fixed point theorems in $n$-Banach spaces.
Copyright © 2016 Jian Meng, Meimei Song. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
J. Meng, M. Song, Fixed point theorems in normal n-normed spaces, J. Math. Comput. Sci. 7 (2017), 84–91.
BibTeX
@article{Meng2017,
author = {Meng, Jian and Song, Meimei},
title = {Fixed point theorems in normal n-normed spaces},
journal = {J. Math. Comput. Sci.},
volume = {7},
year = {2017},
pages = {84--91},
doi = {}
}