Inertial relaxed CQ algorithms for solving a split feasibility problem in Hilbert spaces

DR Sahu, YJ Cho, QL Dong, MR Kashyap, XH Li - Numerical Algorithms, 2021 - Springer
The split feasibility problem is to find a point x∗ with the property that x∗∈ C and A x∗∈ Q,
where C and Q are nonempty closed convex subsets of real Hilbert spaces X and Y …

A new relaxed CQ algorithm for solving split feasibility problems in Hilbert spaces and its applications.

A Gibali, DT Mai - Journal of Industrial & Management …, 2019 - search.ebscohost.com
Inspired by the works of López et al.[21] and the recent paper of Dang et al.[15], we devise a
new inertial relaxation of the CQ algorithm for solving Split Feasibility Problems (SFP) in real …

“Optimal” choice of the step length of the projection and contraction methods for solving the split feasibility problem

QL Dong, YC Tang, YJ Cho, TM Rassias - Journal of Global Optimization, 2018 - Springer
In this paper, first, we review the projection and contraction methods for solving the split
feasibility problem (SFP), and then by using the inverse strongly monotone property of the …

The split feasibility problem with multiple output sets for demicontractive mappings

F Wang - Journal of Optimization Theory and Applications, 2022 - Springer
In Hilbert spaces, we study the split feasibility problem with multiple output sets for
demicontractive mappings. For solving this problem, we propose an iterative method and …

An alternated inertial general splitting method with linearization for the split feasibility problem

QL Dong, L Liu, X Qin, JC Yao - Optimization, 2023 - Taylor & Francis
In this paper, we propose an alternated inertial general splitting method with linearization for
a split feasibility problem. Four rules of inertial parameters and relaxation parameters are …

A new CQ algorithm for solving split feasibility problems in Hilbert spaces

NT Vinh, P Cholamjiak, S Suantai - Bulletin of the Malaysian Mathematical …, 2019 - Springer
In this paper, we propose a CQ-type algorithm for solving the split feasibility problem (SFP)
in real Hilbert spaces. The algorithm is designed such that the step-sizes are directly …

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 …

The ball-relaxed CQ algorithms for the split feasibility problem

H Yu, W Zhan, F Wang - Optimization, 2018 - Taylor & Francis
The split feasibility problem (SFP) is to find so that, where C and Q are non-empty closed
convex subsets in Hilbert spaces and, respectively, and A is a linear bounded operator from …

A new relaxed method for the split feasibility problem in Hilbert spaces

H Yu, F Wang - Optimization, 2024 - Taylor & Francis
In this paper, we introduce a new relaxed method for solving the split feasibility problem in
Hilbert spaces. In our method, the projection to the halfspace is replaced by the one to the …

A novel stepsize for gradient descent method

PT Hoai, NT Vinh, NPH Chung - Operations Research Letters, 2024 - Elsevier
We propose a novel adaptive stepsize for the gradient descent scheme to solve
unconstrained nonlinear optimization problems. With the convex and smooth objective …