Global and local optimality conditions in set-valued optimization problems
Author(s) -
Marius Durea
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.1693
Subject(s) - mathematics , maxima and minima , set (abstract data type) , mathematical optimization , global optimization , optimization problem , computer science , mathematical analysis , programming language
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
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