58 citations · 58 across the 4 of their papers we have counts for
4 papers
Stability of Nonhomogeneous Split Equality and Split Feasibility Problems with Possibly Nonconvex Constraint Sets
Vu Thi Huong, Hong-Kun Xu, Nguyen Dong Yen
By applying some techniques of set-valued and variational analysis, we study solution stability of nonhomogeneous split equality problems and nonhomogeneous split feasibility probl…
Common fixed point theorems for a commutative family of nonexpansive mappings in complete random normed modules
Xiaohuan Mu, Qiang Tu, Tiexin Guo +1
In this paper, we first introduce and study the notion of random Chebyshev centers. Further, based on the recently developed theory of stable sets, we introduce the notion of rando…
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…
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…