Extrapolated plug-and-play three-operator splitting methods for nonconvex optimization with applications to image restoration

Z Wu, C Huang, T Zeng - SIAM Journal on Imaging Sciences, 2024 - SIAM
This paper investigates the convergence properties and applications of the three-operator
splitting method, also known as the Davis–Yin splitting (DYS) method, integrated with …

Two-step inertial Bregman alternating minimization algorithm for nonconvex and nonsmooth problems

J Zhao, QL Dong, MT Rassias, F Wang - Journal of Global Optimization, 2022 - Springer
In this paper, we propose an algorithm combining Bregman alternating minimization
algorithm with two-step inertial force for solving a minimization problem composed of two …

General splitting methods with linearization for the split feasibility problem

QL Dong, S He, MT Rassias - Journal of Global Optimization, 2021 - Springer
In this article, we introduce a general splitting method with linearization to solve the split
feasibility problem and propose a way of selecting the stepsizes such that the …

A unified Douglas–Rachford algorithm for generalized DC programming

CS Chuang, H He, Z Zhang - Journal of Global Optimization, 2022 - Springer
We consider a class of generalized DC (difference-of-convex functions) programming, which
refers to the problem of minimizing the sum of two convex (possibly nonsmooth) functions …

Douglas–Rachford splitting method with linearization for the split feasibility problem

Z Hu, Q Dong, Y Tang, MT Rassias - Symmetry, 2022 - mdpi.com
The aim of this article is to introduce the Douglas–Rachford splitting method with
linearization to solve the split feasibility problem (SFP). Our proposed method includes two …

Algorithms and Applications for Split Equality Problem with Related Problems

L Shi, T Ling, X Tong, Y Cao, Y Peng - Recent Developments in Fixed …, 2024 - Springer
Split equality problem provides us with a unified, natural, novel and simple framework to
study a wide class of problems arising in pure and applied sciences. It is known that the split …

A PARAMETERIZED THREE-OPERATOR SPLITTING ALGORITHM FOR NON-CONVEX MINIMIZATION PROBLEMS WITH APPLICATIONS.

L MIAO, Y TANG, C WANG - Journal of Nonlinear & …, 2024 - search.ebscohost.com
In this paper, we propose a parameterized three-operator splitting algorithm to solve
nonconvex minimization problems with the sum of three non-convex functions, where two of …