Search Results - subject:"1 functions"

First-Order Conditions for C0,1 Constrained vector optimization

Ivan, Ginchev; Angelo, Guerraggio; Matteo, Rocca - Facoltà di Economia, Università degli Studi dell'Insubria - 2003

For a Fritz John type vector optimization problem with C0,1 data we define different type of solutions, give their scalar characterizations applying the so called oriented distance, and give necessary and sufficient first order optimality conditions in terms of the Dini derivative. While...

Persistent link: https://www.econbiz.de/10005827386

From scalar to vector optimization

Ivan, Ginchev; Angelo, Guerraggio; Matteo, Rocca - Facoltà di Economia, Università degli Studi dell'Insubria - 2003

Persistent link: https://www.econbiz.de/10005827405

C 1,1 functions and optimality conditions

Davide, La Torre; Matteo, Rocca - Facoltà di Economia, Università degli Studi dell'Insubria - 2002

In this work we provide a characterization of C 1,1 functions on Rn (that is, differentiable with locally Lipschitz … partial derivatives) by means of second directional divided differences. In particular, we prove that the class of C 1,1 … functions is equivalent to the class of functions with bounded second directional divided differences. From this result we …

Persistent link: https://www.econbiz.de/10005264643

On C^(1,1) constrained optimation problems

Torre, Davide La; Rocca, Matteo - Dipartimento di Economia, Management e Metodi … - 2003

Many definitions of second order generalized derivatives have been introduced to obtain optimality conditions for optimization problems involving C(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...

Persistent link: https://www.econbiz.de/10005007178

C1,1 approximations of generalized support vector machines

Torre, Davide La; Vercellis, Carlo - Dipartimento di Economia, Management e Metodi … - 2002

use of the class of C1,1 functions to approximate the above nonlinear objects. …

Persistent link: https://www.econbiz.de/10005007322

C1,1 functions and optimality conditions

Torre, Davide La; Rocca, Matteo - Dipartimento di Economia, Management e Metodi … - 2002

In this work we provide a characterization of C1,1 functions on Rn (that is,diferentiable with locally Lipschitz … partial derivatives) by means of second directional divided differences. In particular, we prove that the class of C1,1 … functions is equivalent to the class of functions with bounded second directional divided diferences. From this result we deduce …

Persistent link: https://www.econbiz.de/10005007441