International Journal of Nonlinear Analysis and Applications

Regularity properties for convex-like $C(T)$-valued functions on Hilbert spaces

Articles in Press

Document Type : Research Paper

Authors

Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran

10.22075/ijnaa.2024.33909.5061

Abstract

In this paper, we introduce several regularity properties for the non-differentiable convex-like $C(T)$-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 convex subdifferential. Non-trivial numerical examples are incorporated to demonstrate the validity of the results established in this paper. To the best of our knowledge, this paper is the first to investigate the regularity properties for the $C(T)$-valued functions, even in the differentiable case of finite-dimensional spaces.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 24 September 2024
  • Receive Date: 30 April 2024
  • Revise Date: 28 August 2024
  • Accept Date: 09 September 2024