Year: 2025
Type: article
Abstract: This paper provides a thorough comparison between R-continuity and other fundamental tools in optimization such as metric regularity, metric subregularity, and calmness. We show that R-continuity has some advantages in the convergence rate analysis of algorithms for solving optimization problems. We also present some properties of R-continuity and study the explicit convergence rate of the proximal point algorithm $ (\mathbf{P}\mathbf{P}\mathbf{A}) $ under the R-continuity.
DOI: 10.3934/eect.2025016
Authors: Ba Khiet Le, Michel Théra
Institutions: Ton Duc Thang University, Université de Limoges
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4407340238