Limiting subdifferentials of perturbed distance functions in Banach spaces
نویسندگان
چکیده
We explore in arbitrary Banach spaces the Fréchet type ε-subdifferentials and the limiting subdifferentials for the perturbed distance function dS(·) determined by a closed subset S and a lower semicontinuous function J defined on S. In particular, upper and lower estimates for the Fréchet type ε-subdifferentials and for the limiting subdifferentials are provided in terms of the corresponding subdifferentials of the sum of the associated functions J and δS . © 2011 Elsevier Ltd. All rights reserved.
منابع مشابه
Subdifferentials of perturbed distance functions in Banach spaces
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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