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

F. García and M. A. Melguizo Padial

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We analyse the sensitivity of differential programs of the form Minf(x) subject to g(x) = b, x ∈ D where f and g are 𝒞1 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.

Date: 2013
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https://doi.org/10.1155/2013/812125

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:812125

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