Initially, second-order necessary and sufficient optimality conditions in terms of Hadamard type derivatives for the unconstrained scalar optimization problem Ï†(x) â†’ min, x âˆˆ R, are given. Theseâ€¦ (More)

Minty Variational Inequalities (for short, MVI) have proved to characterize a kind of equilibrium more qualified than Stampacchia Variational Inequalities (for short, SVI). This conclusion leads toâ€¦ (More)

In this paper we study several existing notions of well-posedness for vector optimization problems. We distinguish them into two classes and we establish the hierarchical structure of theirâ€¦ (More)

A a set-valued optimization probleminC F (x), x âˆˆ X0, is considered, where X0 âŠ‚ X, X andY are Banach spaces, F : X0 Y is a set-valued function and C âŠ‚ Y is a closed cone. The solutions of theâ€¦ (More)

In this paper we extend to the vector case the notion of increasing along rays function. The proposed definition is given by means of a nonlinear scalarization through the so-called oriented distanceâ€¦ (More)

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 establishâ€¦ (More)

In this paper some new contractive operators on C([a, b]) of IFS type are built. Inverse problems are introduced and studied by convex optimization problems. A stability result and some optimalityâ€¦ (More)

Starting from second-order conditions for C scalar unconstrained optimization problems described in terms of the second-order Dini directional derivative, we pose the problem, whether similarâ€¦ (More)

The existence of solutions to a scalar Minty variational inequality of differential type is usually related to monotonicity property of the primitive function. On the other hand, solutions of theâ€¦ (More)