多目标优化正则条件的一个注记

A note on regularity condition in multiobjective optimization

给出带不等式约束的非光滑多目标优化问题正则条件的一个例子.通过该例,指出最近由Burachik和Rizvi利用线性化锥提出的可微多目标优化问题的正则条件不能利用Clarke导数推广到非光滑情形.

In this paper, an example is given on regularity condition for a class of nonsmooth multiobjective optimization problems with inequality constraints. This example implies that the regularity condition proposed by Burachik and Rizvi for differentiable multiobjective optimization by the linearizing cone could not be generalized to the nonsmooth case in terms of Clarke derivative.