Back to Search Start Over

THE VECTOR-VALUED VARIATIONAL PRINCIPLE IN BANACH SPACES ORDERED BY CONES WITH NONEMPTY INTERIORS.

Authors :
Bednarczuk, Ewa M.
rzybyła, Maciej J. P
Source :
SIAM Journal on Optimization; 2007, Vol. 18 Issue 3, p907-913, 7p
Publication Year :
2007

Abstract

We prove sharpness of efficient solutions x<subscript>k</subscript> to vector optimization problems resulting from Ekeland vector variational principles. We achieve this by sharpening some of the existing vector variational principles and showing that x<subscript>k</subscript> remains efficient not only for perturbations in the direction k but also for other directions of perturbations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10526234
Volume :
18
Issue :
3
Database :
Complementary Index
Journal :
SIAM Journal on Optimization
Publication Type :
Academic Journal
Accession number :
27827231
Full Text :
https://doi.org/10.1137/060658989