For various classes of vector optimization problems, necessary and sufficient optimality conditions are developed in terms of first order tangent cones and second order tangent sets and cones. Additional remarks are also made.

For various classes of vector optimization problems, necessary and sufficient optimality conditions are developed in terms of first order tangent cones and second order tangent sets and cones. Additional remarks are also made.

The purpose of this paper is twofold; first, to present a simple proof of the Farkas theorem (or Farkas lemma or Farkas-Minkowski lemma), proof performed through a nonlinear theorem of the alternative; second, to present various new proofs of the so-called "Tucker key theorem", and to show that...

We give an overview and make some remarks on the approximate optimality conditions, for a nonlinear programming problem, given by Haeser and Schuverdt (2011) and by Fiacco and McCormick (1968a). Other first-order optimality conditions in absence of constraint qualifications are examined....

For various classes of vector optimization problems, necessary and sufficient optimality conditions are developed in terms of first order tangent cones and second order tangent sets and cones. Additional remarks are also made.

In this paper we take in to considerations some classes of matrices which are generalizations of the class of K-matrices, in the terminology of Fielder and Ptàk (1962). We study the hierarchy and inclusion relations between the classes considered and we point out some economic applications

La presente nota, di intenti prevalentemente didattici, prende lo spunto dal corso di Economia Matematica tenuto dal primo degli autori presso il Dipartimento di Scienze Eco- nomiche e Aziendali dell'?Università di Pavia. Ci proponiamo, infatti, di appianare alcune difficoltà relative alla...