A tutorial on the deterministic Impulse Control Maximum Principle: Necessary and sufficient optimality conditions

Necessary and Sucient Optimality Conditions for a Control Fuzzy Linear Problem

Necessary and Sufficient Conditions for Local Controllability and Time Optimality

Introduction. Let M be an analytic n manifold and # = {X : a e A} a collection of analytic vector fields on M. A continuous map M, T > 0, is called a solution of,_!, tt)9 i = 1, —, k. We denote by s...

Optimality Conditions and Duality in Minmax Fractional Programming, Part I: Necessary and Sufficient Optimality Conditions

The purpose of this paper is to develop a fairly large number of sets of global parametric sufficient optimality conditions under various generalized (F, b, φ, ρ, θ)univexity assumptions for a continuous minmax fractional programming problem involving arbitrary norms.

Second Order Necessary and Sufficient Optimality Conditions under Abstract Constraints

In this paper we discuss second order optimality conditions in optimization problems subject to abstract constraints. Our analysis is based on various concepts of second order tangent sets and parametric duality. We introduce a condition, called second order regularity, under which there is no gap between the corresponding second order necessary and second order suucient conditions. We show tha...

Necessary and Sufficient Optimality Conditions for Fuzzy Linear Programming

This paper is concerned with deriving necessary and sufficient optimality conditions for a fuzzy linear programming problem. Toward this end, an equivalence between fuzzy and crisp linear programming problems is established by means of a specific ranking function. Under this setting, a main theorem gives optimality conditions which do not seem to be in conflict with the so-called Karush-Kuhn-Tu...