Higher-order necessary optimality conditions for extremum problems in topological vector spaces

Leon Mikołajczyk, Marcin Studniarski

DOI: http://dx.doi.org/10.12775/TMNA.2000.010

Abstract


We present a higher-order extension of the well-known theorem of Ben-Tal
and Zowe on second-order necessary optimality conditions in topological
vector spaces. We also examine the connection between this extension and the
results of Furukawa and Yoshinaga which are stated in terms of higher-order
variational sets and Neustadt derivatives.

Keywords


Extremum problems; higher-order necessary conditions; higher-order variational sets; higher-order Neustadt derivatives

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