Subdifferentials of perturbed distance functions in Banach spaces

نویسندگان

  • Jinhua Wang
  • Chong Li
  • Hong-Kun Xu
چکیده

In general Banach space setting, we study the perturbed distance function d J S (·) determined by a closed subset S and a lower semicontinuous function J (·). In particular, we show that the Fréchet subdifferential and the proximal subdifferential of a perturbed distance function are representable by virtue of corresponding normal cones of S and subdifferentials of J (·).

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عنوان ژورنال:
  • J. Global Optimization

دوره 46  شماره 

صفحات  -

تاریخ انتشار 2010