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

Authors

  • Zeynab Izadi Payame Noor University
  • Elham Behroozi Payame Noor Univercity
  • Gholamreza Moghimi Payame Noor Univercity

DOI:

https://doi.org/10.30495/jme.v18i0.3083

Keywords:

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

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.

Author Biographies

Zeynab Izadi, Payame Noor University

Department of Mathematics,

Faculty of Sciences

Elham Behroozi, Payame Noor Univercity

Department of Mathematics,

Phd student of Mathematics

Gholamreza Moghimi, Payame Noor Univercity

Department of Mathematics,

Faculty of Sciences

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Published

2025-01-02

Issue

Vol. 18

Section

Vol. 18, No. 9, (2024)

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