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

Abstract EN

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