International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 11, Pages 1693-1711
Global and local optimality conditions in set-valued optimization problems
Faculty of Mathematics, “Alexandru Ioan Cuza” University of Iaşi, Boulevard Carol I, no.11, Iaşi 700506, Romania
Received 6 September 2004; Revised 18 April 2005
Copyright © 2005 M. Durea. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We consider both global and local conditions for optimization
problems governed by set-valued maps. For global conditions, we
present a comparative study and then we impose the weaker ones to
obtain optimality conditions. Therefore, we introduce some local
conditions and we prove that these conditions are useful (mainly)
in the study of Borwein proper minima for the considered problems.