1 citations · 1 across the 5 of their papers we have counts for
7 papers
A Proximal Newton Framework with Local Superlinear Convergence for Simple Bilevel Optimization
Xiaoning Bai, Boris S. Mordukhovich, Shangzhi Zeng +1
In this paper, we study a penalty method for simple bilevel optimization in which the lower-level objective has a convex composite structure. Our approach is based on a vanishing-p…
Positive-measure intersections of Bedford-McMullen carpets under similitudes
Ding-Kun Hu, Huo-Jun Ruan, Jian-Ci Xiao
Let be a Bedford-McMullen carpet with and , and let be a self-affine measure on with strictly positive weights. We prove that every simili…
Convergence and Stability Analysis of a Generalized Proximal Point Algorithm and Its Inexact Version
Ba Khiet Le, Boris S. Mordukhovich, Michel A. Thera
In this paper, we introduce the notion of adaptive strong monotonicity and establish a linear convergence of the recently proposed Generalized Proximal Point Algorithm (GPPA) for c…
Inexact Proximal Point and Tseng Algorithms with Nonsummable Errors to Solve Monotone Inclusions
Ba Khiet Le, Boris S. Mordukhovich, Michel A. Thera
In this paper, we establish, for the first time in the literature, the convergence of the practical versions of the Inexact Proximal Point Algorithm (IPPA) and the Inexact Tseng Al…
Convergence Rates for the Alternating Minimization Algorithm in Structured Nonsmooth and Nonconvex Optimization
Glaydston C. Bento, Boris S. Mordukhovich, Tiago S. Mota +1
This paper is devoted to developing the alternating minimization algorithm for problems of structured nonconvex optimization proposed by Attouch, Bolté, Redont, and Soubeyran in 20…
-Norm Multiobjective Optimization Models Motivated by Applications to Proton Therapy
Xiaoda Cong, Xuanfeng Ding, Boris Mordukhovich +2
The paper is devoted to investigating single-objective and multiobjective optimization problems involving the -norm function, which is nonconvex and nondifferentiable. Our…
Convergence of Descent Optimization Algorithms under Polyak-Łojasiewicz-Kurdyka Conditions
G. C. Bento, B. S. Mordukhovich, T. S. Mota +1
This paper develops a comprehensive convergence analysis for generic classes of descent algorithms in nonsmooth and nonconvex optimization under several conditions of the Polyak-Ło…