AN OPTIMIZATION RESULT FOR SET-VALUED MAPPINGS AND A STABILITY PROPERTY IN VECTOR PROBLEMS WITH CONSTRAINTS

Authors
Citation
F. Ferro, AN OPTIMIZATION RESULT FOR SET-VALUED MAPPINGS AND A STABILITY PROPERTY IN VECTOR PROBLEMS WITH CONSTRAINTS, Journal of optimization theory and applications, 90(1), 1996, pp. 63-77
Citations number
9
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
ISSN journal
00223239
Volume
90
Issue
1
Year of publication
1996
Pages
63 - 77
Database
ISI
SICI code
0022-3239(1996)90:1<63:AORFSM>2.0.ZU;2-N
Abstract
First, we prove an existence result relative to minimal points of set- valued mappings. Then, conditions about the upper and lower semicontin uity of constraint sets defined through set-valued mappings are given. Finally, a stability result relative to vector problems with abstract constraints is proved.