Kyungpook Mathematical Journal
- Volume 43 Issue 4
- /
- Pages.519-538
- /
- 2003
- /
- 1225-6951(pISSN)
- /
- 0454-8124(eISSN)
Strongly Unique Best Coapproximation
- RAO, GEETHA S. (Ramanujan Institute for Advanced Study in Mathematics, University of Madras) ;
- SARAVANAN, R. (Vellore Institute of Technology, Deemed University)
- Received : 2002.09.13
- Published : 2003.11.23
Abstract
This paper delineates some fundamental properties of the set of strongly unique best coapproximation. Uniqueness of strongly unique best coapproximation is studied. Some characterizations of strongly unique best coapproximation and strongly unique best approximation are obtained. Some more results concerning strongly unique best uniform coapproximation and strongly unique best uniform approximation are presented. Some relations between best uniform approximation and strongly unique best uniform coapproximation are established.
Keywords
- strongly unique best approximation;
- strongly unique best coapproximation and continuous linear functional