[HTML][HTML] New inertial relaxed method for solving split feasibilities

Y Shehu, A Gibali - Optimization Letters, 2021 - Springer
In this paper, we introduce a relaxed CQ method with alternated inertial step for solving split
feasibility problems. We give convergence of the sequence generated by our method under …

A method with inertial extrapolation step for split monotone inclusion problems

Y Yao, Y Shehu, XH Li, QL Dong - Optimization, 2021 - Taylor & Francis
The purpose of this paper is to study the convergence analysis of an iterative algorithm with
inertial extrapolation step for finding an approximate solution of split monotone inclusion …

Gradient methods with selection technique for the multiple-sets split feasibility problem

Y Yao, M Postolache, Z Zhu - Optimization, 2020 - Taylor & Francis
In this paper, we present two new iterative algorithms for approximating a solution of the
multiple-sets split feasibility problem. The suggested algorithms are based on the gradient …

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 …

Proximal type algorithms involving linesearch and inertial technique for split variational inclusion problem in hilbert spaces with applications

S Kesornprom, P Cholamjiak - Optimization, 2019 - Taylor & Francis
In convex optimization, numerous problems in applied sciences can be modelled as the split
variational inclusion problem (SVIP). In this connection, we aim to design new and efficient …

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 …

Explicit extragradient-like method with adaptive stepsizes for pseudomonotone variational inequalities

DV Thong, J Yang, YJ Cho, TM Rassias - Optimization Letters, 2021 - Springer
The purpose of this paper is to introduce a new modified subgradient extragradient method
for finding an element in the set of solutions of the variational inequality problem for a …

An explicit extragradient algorithm for solving variational inequalities

DV Hieu, JJ Strodiot, LD Muu - Journal of Optimization Theory and …, 2020 - Springer
In this paper, we introduce an explicit iterative algorithm for solving a (pseudo) monotone
variational inequality under Lipschitz condition in a Hilbert space. The algorithm is …

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 …

Global and linear convergence of alternated inertial methods for split feasibility problems

Y Shehu, QL Dong, LL Liu - Revista de la Real Academia de Ciencias …, 2021 - Springer
The focus of this paper is to introduce algorithms with alternated inertial step to solve split
feasibility problems. We obtain global convergence of the sequences of iterates generated …