This work considers nonsmooth optimal control problems and provides two new sufficient conditions of optimality. The first condition involves the Lagrange multipliers while the second does not. We show that under the first new condition all processes satisfying the Pontryagin Maximum Principle...

We consider the classical Markowitz portfolio optimization problem with additional constraints representing so-called short sales.  The two objectives of this multiobjective problem are the expected return and the variance of a portfolio combined by a number of risky securities. A...

The notion of radial epiderivative is introduced and then a necessary and sufficient condition for a point to be a weak minimal solution (weak-efficient solution) for a non-convex set-valued optimization problem is derived. Such a condition subsumes various necessary and/or sufficient conditions...

A multiobjective programming problem characterized by convex goal functions and linear inequality constraints is studied. The investigation aims to the construction of a multiobjective dual problem permitting the verification of strong duality as well as optimality conditions.  For the...

The origin of the second best article is described and criticisms assessed. Distortions making impossible the achievement of either first or second best optima are outlined. Attempts to establish the applicability of first best rules are criticised, as are general rules for making piecemeal...

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...

In this paper extremal problems that include averaging operation in constraints and objective are considered. The relaxation caused by a replacement of a problem without averaging with a problem that includes averaging is formally defined and investigated. Canonical form for nolinear programming...

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...

In this paper a notion of arcwise connected convex set valued mapping is introduced. Optimality conditions involving this type of data are studied.