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math.OC2023
The Behavior of Error Bounds via Moreau Envelopes
Yu Wang, Shengjie Li, Yaohua Hu +2
In this paper, we first establish the equivalence of three types of error bounds: uniformized Kurdyka-Łojasiewicz (u-KL) property, uniformized level-set subdifferential error bound…
math.OC2020
Lipschitz-like property relative to a set and the generalized Mordukhovich criterion
Kaiwen Meng, Minghua Li, Wenfang Yao +1
In this paper we will establish some necessary condition and sufficient condition respectively for a set-valued mapping to have the Lipschitz-like property relative to a closed set…
math.OC2020
Level-set Subdifferential Error Bounds and Linear Convergence of Variable Bregman Proximal Gradient Method
Daoli Zhu, Sien Deng, Minghua Li +1
In this work, we develop a level-set subdifferential error bound condition aiming towards convergence rate analysis of a variable Bregman proximal gradient (VBPG) method for a broa…