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.

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 consider the vector optimization problem minC f(x), g(x) 2 -K, where f : Rn ! Rm and g : Rn Rp are C0,1 functions and C Rm and K Rp are closed convex cones. We give several notions of solutions (efficiency concepts), among them the notion of a properly efficient point...

Рассмотрена двухуровневая иерархическая система с одним элементом верхнего уровня и n элементами нижнего уровня. Получены необходимые и достаточные условия...

We give an overview of constraint qualifications and optimality conditions for a nonlinear pro- gramming problems where the functions involved have directional derivatives defined in an axiomatic way. We consider mainly the approach of Elster and Thierfelder (1985, 1988a, 1988b) and the approach...

This paper considers conditions of optimality in a co-optive strategy of colonial rule. It proposes a simple model of elite formation emanating from a coloniser's quest to maximise extracted rents from its colonies. The results suggest multiple optimal solutions, depending on the specification...