Subgradients of Minimal Time Functions without Calmness

Authors

Nguyen Mau Nam, Portland State UniversityFollow
Dang Van Cuong, Duy Tan UniversityFollow

Sponsor

The research of this author [N. Mau Nam] was partially supported by the NSF under grant DMS-1411817.

Document Type

Pre-Print

Publication Date

6-2017

Subjects

Fréchet spaces, Convex analysis, Nonsmooth optimization, Mathematical optimization

Abstract

In recent years there has been great interest in variational analysis of a class of nonsmooth functions called the minimal time function. In this paper we continue this line of research by providing new results on generalized differentiation of this class of functions, relaxing assumptions imposed on the functions and sets involved for the results. In particular, we focus on the singular subdifferential and the limiting subdifferential of this class of functions.

Description

arXiv:1705.07555

Persistent Identifier

http://archives.pdx.edu/ds/psu/21123

Citation Details

Nam, Nguyen Mau and Cuong, Dang Van, "Subgradients of Minimal Time Functions without Calmness" (2017). Mathematics and Statistics Faculty Publications and Presentations. 194.
http://archives.pdx.edu/ds/psu/21123