Abstract and Applied Analysis

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

F. García and M. A. Melguizo Padial

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2012), Article ID 812125, 11 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393442738

Digital Object Identifier
doi:10.1155/2013/812125

Mathematical Reviews number (MathSciNet)
MR3068869

Zentralblatt MATH identifier
07095380

Citation

García, F.; Melguizo Padial, M. A. Paratingent Derivative Applied to the Measure of the Sensitivity in Multiobjective Differential Programming. Abstr. Appl. Anal. 2013, Special Issue (2012), Article ID 812125, 11 pages. doi:10.1155/2013/812125. https://projecteuclid.org/euclid.aaa/1393442738


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