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Well-posed Vector Optimization Problems and Vector Variational Inequalities

Matteo, Rocca - Facoltà di Economia, Università degli Studi dell'Insubria - 2004

In this paper we introduce notions of well-posedness for a vector optimization problem and for a vector variational inequality of differential type, we study their basic properties and we establish the links among them. The proposed concept of well-posedness for a vector optimization problem...

Persistent link: https://www.econbiz.de/10005827376

First-Order Conditions for C0,1 Constrained vector optimization

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

scalar characterizations applying the so called oriented distance, and give necessary and sufficient first order optimality …

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

On the scalarization and its stability in vector optimization

Enrico, Miglierina; Elena, Molho - Facoltà di Economia, Università degli Studi dell'Insubria

A class of scalarizations is studied in order to characterize weakly efficient, efficient and properly efficient points of a non convex vector problem.A parallelism is established between the different solutions of the scalarized problem and the various efficient frontiers.In particular,...

Persistent link: https://www.econbiz.de/10005827391

C 1,1 vector optimization problems and Riemann derivatives

Ivan, Ginchev; Angelo, Guerraggio; Matteo, Rocca - Facoltà di Economia, Università degli Studi dell'Insubria - 2002

establish necessary and sufficient optimality conditions for vector optimization problems. We show that these conditions are …

Persistent link: https://www.econbiz.de/10005248443

An axiomatic approach to approximate solutions in vector optimization

Enrico, Miglierina; Elena, Molho; Fioravante, Patrone; … - Facoltà di Economia, Università degli Studi dell'Insubria - 2005

ordering cones generated by a base of R. Finally, we study the shape of the approximate solution map under the assumption of …

Persistent link: https://www.econbiz.de/10005248444

Convergence of the minimal sets under convexity in vector optimization

Enrico, Miglierina; Elena, Molho - Facoltà di Economia, Università degli Studi dell'Insubria - 2003

We study the behaviour of the minimal sets of a sequence of convex sets An converging to a given set A. Under suitable assumptions involving only the structure of the single sets An, we obtain the lower convergence of MinAn to MinA. In a reflexive Banach space ordered by a closed convex cone...

Persistent link: https://www.econbiz.de/10005264642

Isolated minimizers, proper efficiency and stability for C0,1 constrained vector optimization problems

Ivan, Ginchev; Angelo, Guerraggio; Matteo, Rocca - Facoltà di Economia, Università degli Studi dell'Insubria - 2004

,1 functions and C Rm and K Rp are closed convex cones. We give several notions of solutions (efficiency concepts), among them the … conditions in terms of Dini derivatives. We show that the given optimality conditions are important to solve the posed problem … under perturbations of the cones, while the isolated minimizers are stable under perturbations both of the cones and the …

Persistent link: https://www.econbiz.de/10005264649