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math.OC2022
Kurdyka-Łojasiewicz Inequality and Error Bounds of D-Gap Functions for Nonsmooth and Nonmonotone Variational Inequality Problems
M. H. Li, K. W. Meng, X. Q. Yang
In this paper, we study the D-gap function associated with a nonsmooth and nonmonotone variational inequality problem. We present some exact formulas for the subderivative, the reg…
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.OC2017
Linear convergence of inexact descent method and inexact proximal gradient algorithms for lower-order regularization problems
Yaohua Hu, Chong Li, Kaiwen Meng +1
The regularization problem with has been widely studied for finding sparse solutions of linear inverse problems and gained successful applications in various mat…