کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
840116 | 1470510 | 2013 | 9 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Optimality conditions for 2-regular problems with nonsmooth objective functions Optimality conditions for 2-regular problems with nonsmooth objective functions](/preview/png/840116.png)
For equality-constrained optimization problems with locally Lipschitzian objective functions, we derive meaningful first-order necessary conditions for local optimality without assuming conventional regularity of constraints. In the case of a smooth objective function, theories of optimality conditions of this kind have been developed in the last three decades. This work extends these results to the nonsmooth case, employing the generalized differentiation concepts of modern nonsmooth analysis. As a by-product of this development, we establish the upper estimate of the Mordukhovich subdifferential of the lower directional derivative. Some applications of these results to the problem of minimization of the maximum function and to the constrained version of a Steiner-type problem are discussed.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 90, October 2013, Pages 37–45