Many definitions of second order generalized derivatives have been introduced to obtain optimality conditions for optimization problems involving 1,1 data. The aim of this paper is to show some relations among these definitions and to study necessary and sufficient optimality conditions for constrained optimization problems. From these conditions one can easily deduce classical results in literature
On C^{1,1} optimization problems / D. La Torre, M. Rocca. - In: JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS. - ISSN 1521-1398. - 7:(2005), pp. 383-395.
On C^{1,1} optimization problems
D. La TorrePrimo
;
2005
Abstract
Many definitions of second order generalized derivatives have been introduced to obtain optimality conditions for optimization problems involving 1,1 data. The aim of this paper is to show some relations among these definitions and to study necessary and sufficient optimality conditions for constrained optimization problems. From these conditions one can easily deduce classical results in literature
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