58 citations · 76 across the 6 of their papers we have counts for
6 papers
Well-posedness for the split equilibrium problem
Soumitra Dey, V. Vetrivel, Hong-Kun Xu
We extend the concept of well-posedness to the split equilibrium problem and establish Furi-Vignoli-type characterizations for the well-posedness. We prove that the well-posedness…
The noncompact Schauder fixed point theorem in random normed modules and its applications
Tiexin Guo, Yachao Wang, Hong-kun Xu +2
Motivated by the randomized version of the classical Bolzano--Weierstrass theorem, in this paper we first introduce the notion of a random sequentially compact set in a random norm…
Non-Negative Matrix Factorization for 2D-XAS Images of Lithium Ion Batteries
Hiroki Tanimoto, Xu Hongkun, Masaishiro Mizumaki +9
Lithium-ion secondary batteries have been used in a wide variety of purposes, such as for powering mobile devices and electric vehicles, but their performance should be improved. O…
Projection Algorithms for Finite Sum Constrained Optimization
Hong-Kun Xu, Vera Roshchina
Parallel and cyclic projection algorithms are proposed for minimizing the sum of a finite family of convex functions over the intersection of a finite family of closed convex subse…
Convergence Analysis of the Frank-Wolfe Algorithm and Its Generalization in Banach Spaces
Hong-Kun Xu
The Frank-Wolfe algorithm, a very first optimization method and also known as the conditional gradient method, was introduced by Frank and Wolfe in 1956. Due to its simple linear s…
Convergence of Bregman alternating direction method with multipliers for nonconvex composite problems
Fenghui Wang, Zongben Xu, Hong-Kun Xu
The alternating direction method with multipliers (ADMM) has been one of most powerful and successful methods for solving various convex or nonconvex composite problems that arise…