Viscosity S-iteration method with inertial technique and self-adaptive step size for split variational inclusion, equilibrium and fixed point problems
TO Alakoya, OT Mewomo - Computational and Applied Mathematics, 2022 - Springer
Several efficient methods have been developed in the literature for approximating solutions
of fixed point and optimization problems. However, the S-iteration process has been shown …
of fixed point and optimization problems. However, the S-iteration process has been shown …
Relaxed Tseng splitting method with double inertial steps for solving monotone inclusions and fixed point problems
In this article, we consider the problem of approximating the common solution of monotone
inclusions and demicontraction fixed point problems. Firstly, we present Tseng splitting …
inclusions and demicontraction fixed point problems. Firstly, we present Tseng splitting …
Revisiting subgradient extragradient methods for solving variational inequalities
B Tan, X Qin, SY Cho - Numerical Algorithms, 2022 - Springer
In this paper, several extragradient algorithms with inertial effects and adaptive non-
monotonic step sizes are proposed to solve pseudomonotone variational inequalities in real …
monotonic step sizes are proposed to solve pseudomonotone variational inequalities in real …
A novel projection neural network for solving a class of monotone variational inequalities
This article provides a novel projection neural network (PNN) for a category of monotone
variational inequality (MVI). For simplifying calculation, the feasible region of MVI is …
variational inequality (MVI). For simplifying calculation, the feasible region of MVI is …
Strong convergence of inertial projection and contraction methods for pseudomonotone variational inequalities with applications to optimal control problems
This paper investigates some inertial projection and contraction methods for solving
pseudomonotone variational inequality problems in real Hilbert spaces. The algorithms use …
pseudomonotone variational inequality problems in real Hilbert spaces. The algorithms use …
Inertial extragradient type method for mixed variational inequalities without monotonicity
In this paper, we propose two inertial projection methods to solve mixed variational
inequalities without assuming monotonicity on the cost operator. Consequently, we show …
inequalities without assuming monotonicity on the cost operator. Consequently, we show …
An alternated inertial general splitting method with linearization for the split feasibility problem
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 split feasibility problem. Four rules of inertial parameters and relaxation parameters are …
Explicit extragradient-like method with adaptive stepsizes for pseudomonotone variational inequalities
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 …
for finding an element in the set of solutions of the variational inequality problem for a …
A simple projection method for solving quasimonotone variational inequality problems
Projection methods have been one of the popular methods for solving variational inequality
problems in the literature. Several projection methods have been studied for variational …
problems in the literature. Several projection methods have been studied for variational …
Alternated and multi-step inertial approximation methods for solving convex bilevel optimization problems
P Duan, Y Zhang - Optimization, 2023 - Taylor & Francis
In this paper, we propose three kinds of inertial approximation methods based on the
proximal gradient algorithm to accelerate the convergence of the algorithm for solving …
proximal gradient algorithm to accelerate the convergence of the algorithm for solving …