ON n-NORMED SPACES

By Hendra Gunawan, M. Mashadi. 2001

281 citations recorded by the source corpus.

Given an n-normed space with n ≥ 2, we offer a simple way to derive an (n−1)- norm from the n-norm and realize that any n-normed space is an (n − 1)-normed space. We also show that, in certain cases, the (n − 1)-norm can be derived from the n-norm in such a way that the convergence and completeness in the n-norm is equivalent to those in the derived (n − 1)-norm. Using this fact, we prove a fixed point theorem for some n-Banach spaces.

Subfields: Geometry and Topology, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/fb60dd9822954bef48b4ca490ac38cec50719713

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Srinivasan Vijayabalaji
2. Young Bae Jun
3. N. Thillaigovindan

In Management Science and Operations Research

1. Srinivasan Vijayabalaji
2. Young Bae Jun
3. N. Thillaigovindan
4. Naim Çagman
5. Serdar Enginoğlu
6. Feng Feng

In Statistics and Probability

1. Srinivasan Vijayabalaji
2. Young Bae Jun
3. N. Thillaigovindan

Citations in the corpus

• INTUITIONISTIC FUZZY n-NORMED LINEAR SPACE (2007, methodology): “A systematic development of an n-normed linear space has been extensively made by S. S. Kim and Y. J. Cho [15], R. Malceski [17], A. Misiak [18] and Hendra Gunawan [13].”