Efficient solutions in V-KT-pseudoinvex multiobjective control problems: A characterization
type: Item
instance of: scholarly article
title: Efficient solutions in V-KT-pseudoinvex multiobjective control problems: A characterization
zbMATH Open document ID: 1181.65091
author: Manuel Arana-Jiménez
author: A. Rufián-Lizana
author: Gabriel Ruiz-Garzón
author: R. Osuna-Gómez
published in: Applied Mathematics and Computation
publication date: 2009-10-09T00:00:00Z
review text: The following multiobjective control problem is considered: \[ \text{Minimize}\quad \int^b_a f(t,x,u)\,dt, \] \[ \text{subject to}\quad x(a)= \alpha,\;x(b)= \beta,\;g(t,x,u)\leq 0,\;h(t,x,u)=\dot x,\quad t\in I. \] For this problem, the authors introduce V-KT-pseudoinvexity and prove that V-KT-pseudoinvexity is a necessary and sufficient condition for a Kuhn-Tucker point to be an efficient solution of the multiobjective control problem. An example is presented.
reviewed by: Hans Benker
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49J15
zbMATH DE Number: 5612820
zbMATH Keywords: continuous optimization
zbMATH Keywords: multiobjective control problem
zbMATH Keywords: pseudoinvexity
zbMATH Keywords: Kuhn-Tucker optimality conditions
zbMATH Keywords: numerical example
MaRDI profile type: Publication
full work available at URL: j.amc.2009.05.060
OpenAlex ID: W2044917803
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DOI: 10.1016/J.AMC.2009.05.060
description: scientific article; zbMATH DE number 5612820