Optimality Conditions in Vector Optimization

Indexed in: Scopus, EBSCO

Vector optimization is continuously needed in several science fields, particularly in economy, business, engineering, physics and mathematics. The evolution of these fields depends, in part, on the ...
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Necessary and Sufficient Optimality Conditions for Continuous-Time Multiobjective Optimization Problems

Pp. 143-163 (21)

DOI: 10.2174/978160805110611001010143

Author(s): Adilson J. V. Brand~ao, Valeriano Antunes de Oliveira, Marko Antonio Rojas-Medarx, Lucelina Batista Santos

Abstract

We discuss necessary and sucient conditions of optimality for nonsmooth and smooth continuous-time multiobjective optimization problems under generalized convexity assumptions.

Keywords:

multiobjective continuous-time programming, invexity, pseudoinvexity, optimality conditions, ecient solutions, generalized gradient.