Paratingent Derivative Applied to the Measure of the Sensitivity in Multiobjective Differential Programming

Paratingent Derivative Applied to the Measure of the Sensitivity in Multiobjective Differential Programming

We analyse the sensitivity of differential programs of the form subject to where and are maps whose respective images lie in ordered Banach spaces. Following previous works on multiobjective programming, the notion of -optimal solution is used. The behaviour of some nonsingleton sets of -optima...

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Main Authors: F. García, M. A. Melguizo Padial
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/812125
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spelling doaj-0bffdff4cdf34c328ce7e1e4b6ae0eea2020-11-24T23:48:00ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/812125812125Paratingent Derivative Applied to the Measure of the Sensitivity in Multiobjective Differential ProgrammingF. García0M. A. Melguizo Padial1Departamento de Matemática Aplicada, Escuela Politècnica Superior, Universidad de Alicante, San Vicente del Raspeig, 03080 Alicante, SpainDepartamento de Matemática Aplicada, Escuela Politècnica Superior, Universidad de Alicante, San Vicente del Raspeig, 03080 Alicante, SpainWe analyse the sensitivity of differential programs of the form subject to where and are maps whose respective images lie in ordered Banach spaces. Following previous works on multiobjective programming, the notion of -optimal solution is used. The behaviour of some nonsingleton sets of -optimal solutions according to changes of the parameter in the problem is analysed. The main result of the work states that the sensitivity of the program is measured by a Lagrange multiplier plus a projection of its derivative. This sensitivity is measured by means of the paratingent derivative.http://dx.doi.org/10.1155/2013/812125
collection DOAJ
language English
format Article
sources DOAJ
author F. García
M. A. Melguizo Padial
spellingShingle F. García
M. A. Melguizo Padial
Paratingent Derivative Applied to the Measure of the Sensitivity in Multiobjective Differential Programming
Abstract and Applied Analysis
author_facet F. García
M. A. Melguizo Padial
author_sort F. García
title Paratingent Derivative Applied to the Measure of the Sensitivity in Multiobjective Differential Programming
title_short Paratingent Derivative Applied to the Measure of the Sensitivity in Multiobjective Differential Programming
title_full Paratingent Derivative Applied to the Measure of the Sensitivity in Multiobjective Differential Programming
title_fullStr Paratingent Derivative Applied to the Measure of the Sensitivity in Multiobjective Differential Programming
title_full_unstemmed Paratingent Derivative Applied to the Measure of the Sensitivity in Multiobjective Differential Programming
title_sort paratingent derivative applied to the measure of the sensitivity in multiobjective differential programming
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description We analyse the sensitivity of differential programs of the form subject to where and are maps whose respective images lie in ordered Banach spaces. Following previous works on multiobjective programming, the notion of -optimal solution is used. The behaviour of some nonsingleton sets of -optimal solutions according to changes of the parameter in the problem is analysed. The main result of the work states that the sensitivity of the program is measured by a Lagrange multiplier plus a projection of its derivative. This sensitivity is measured by means of the paratingent derivative.
url http://dx.doi.org/10.1155/2013/812125
work_keys_str_mv AT fgarcia paratingentderivativeappliedtothemeasureofthesensitivityinmultiobjectivedifferentialprogramming
AT mamelguizopadial paratingentderivativeappliedtothemeasureofthesensitivityinmultiobjectivedifferentialprogramming
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