10.1007/s11117-016-0417-1">
 

Title

Calculus of directional subdifferentials and coderivatives in Banach spaces

Document Type

Article

Publication Date

2017

Department/School

Mathematics

Publication Title

Positivity

Abstract

In this work we study the directional versions of Mordukhovich normal cones to nonsmooth sets, coderivatives of set-valued mappings, and subdifferentials of extended-real-valued functions in the framework of general Banach spaces. We establish some characterizations and basic properties of these constructions, and then develop calculus including sum rules and chain rules involving smooth functions. As an application, we also explore the upper estimates of the directional Mordukhovich subdifferentials and singular subdifferentials of marginal functions.

Link to Published Version

10.1007/s11117-016-0417-1

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