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2013 Paratingent Derivative Applied to the Measure of the Sensitivity in Multiobjective Differential Programming
F. García, M. A. Melguizo Padial
Abstr. Appl. Anal. 2013(SI60): 1-11 (2013). DOI: 10.1155/2013/812125

Abstract

We analyse the sensitivity of differential programs of the form Min f ( x ) subject to g ( x ) = b , x D where f and g are 𝒞 1 maps whose respective images lie in ordered Banach spaces. Following previous works on multiobjective programming, the notion of T -optimal solution is used. The behaviour of some nonsingleton sets of T -optimal solutions according to changes of the parameter b 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.

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F. García. M. A. Melguizo Padial. "Paratingent Derivative Applied to the Measure of the Sensitivity in Multiobjective Differential Programming." Abstr. Appl. Anal. 2013 (SI60) 1 - 11, 2013. https://doi.org/10.1155/2013/812125

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095380
MathSciNet: MR3068869
Digital Object Identifier: 10.1155/2013/812125

Rights: Copyright © 2013 Hindawi

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