AN INTRODUCTION TO U-METRIC SPACE AND NON-LINEAR CONTRACTION WITH APPLICATION TO THE STABILITY OF FIXED POINT EQUATION.
- Resource Type
- Article
- Authors
- Roy, Kushal; Saha, Mantu; Dey, Debashis
- Source
- Matematicki Vesnik. Dec2021, Vol. 73 Issue 4, p268-281. 14p.
- Subject
- *METRIC spaces
*CONTRACTIONS (Topology)
*CANTOR sets
*TOPOLOGICAL property
*EQUATIONS
- Language
- ISSN
- 0025-5165
In this paper, we introduce the notion of U-metric space of n-tuples which generalizes several known metric type spaces. Also we study the topological properties of such newly constructed spaces and prove Cantor's intersection like theorem therein. Banach contraction principle theorem has been proved in this space and finally we apply the theorem to obtain the stability of a fixed point equation. [ABSTRACT FROM AUTHOR]