REGULARITY PROPERTIES FOR LOCALLY LIPSCHITZ C(T)-VALUED FUNCTIONS ON HILBERT SPACES

Zeynab Izadi, Elham Behroozi, Gholamreza Moghimi

Abstract


In this paper, we introduce several regularity properties for the locally Lipschitz $C(T)$-valued functions which are defined on a Hilbert space. The relationships with various regularity properties are investigated. All results are given in terms of the Clarke subdifferential. Non-trivial numerical examples are incorporated to demonstrate the validity of results established in this paper.

Keywords


$C(T)$-valued function , Tangent cone , Clarke subdifferential , Normal cone

Full Text: PDF

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.