Search
Search Results
-
Strong convergence of alternated inertial CQ relaxed method with application in signal recovery
This article proposes a strong convergence CQ relaxed iterative method with alternated inertial extrapolation step in a real Hilbert space. The...
-
A Viscosity Iterative Method with Alternated Inertial Terms for Solving the Split Feasibility Problem
In this paper, we propose a viscosity iterative algorithm with alternated inertial extrapolation step to solve the split feasibility problem, where...
-
Two general splitting methods with alternated inertia for solving split equality problem in Hilbert spaces
In this paper, a general splitting method with alternated inertia and its relaxed version are proposed for solving the split equality problem in...
-
An alternated inertial method for pseudomonotone variational inequalities in Hilbert spaces
In this paper, we introduce a new relaxed extrgadient algorithm with alternated inertial extrapolation step and self adaptive variable stepsizes for...
-
Global and linear convergence of alternated inertial methods for split feasibility problems
The focus of this paper is to introduce algorithms with alternated inertial step to solve split feasibility problems. We obtain global convergence of...
-
The Inertial Krasnosel’skiı̆–Mann Iteration
The inertial type algorithms [172] originate from the heavy ball method of the so-called heavy ball with friction dynamical system:...
-
New hybrid inertial CQ projection algorithms with line-search process for the split feasibility problem
In this paper, we propose two hybrid inertial CQ projection algorithms with line-search process for the split feasibility problem. Based on the...
-
Multi-step inertial algorithms for equilibrium, fixed point, general systems of variational inequalities and split feasibility problems
In this paper, we present two novel multi-step inertial iterative methods to approximate a common element that combines equilibrium problems with...
-
New inertial relaxed method for solving split feasibilities
In this paper, we introduce a relaxed CQ method with alternated inertial step for solving split feasibility problems. We give convergence of the...
-
On relaxed inertial projection and contraction algorithms for solving monotone inclusion problems
We present three novel algorithms based on the forward-backward splitting technique for the solution of monotone inclusion problems in real Hilbert...
-
New inertial proximal gradient methods for unconstrained convex optimization problems
The proximal gradient method is a highly powerful tool for solving the composite convex optimization problem. In this paper, firstly, we propose...
-
Approximation method for monotone inclusion problems in real Banach spaces with applications
In this paper, we introduce an inertial Halpern-type iterative algorithm for approximating a zero of the sum of two monotone operators in the setting...
-
Convergence analysis for solving the split equality equilibrium problem in Hilbert spaces
In this paper, we propose four alternated inertial algorithms with self-adaptive stepsize to address the split equality equilibrium problem (SEEP) in...
-
Convergence Theorems and Convergence Rates for the General Inertial Krasnosel’skiǐ–Mann Algorithm
The authors [13] introduced a general inertial Krasnosel’skiǐ–Mann algorithm: $$ \left\{...
-
Algorithms and Applications for Split Equality Problem with Related Problems
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...
-
Convergence rates of an inertial gradient descent algorithm under growth and flatness conditions
In this paper we study the convergence properties of a Nesterov’s family of inertial schemes which is a specific case of inertial Gradient Descent...
-
On some fast iterative methods for split variational inclusion problem and fixed point problem of demicontractive map**s
In this paper, we find the common solution of a split variational inclusion problem and a fixed point problem of a finite collection of...
-
Introduction
Let \( \mathscr {H}\) be a Hilbert space, C a nonempty...
-
On the Proximal Gradient Algorithm with Alternated Inertia
In this paper, we investigate attractive properties of the proximal gradient algorithm with inertia. Notably, we show that using alternated inertia ...
-
On the interplay between acceleration and identification for the proximal gradient algorithm
In this paper, we study the interplay between acceleration and structure identification for the proximal gradient algorithm. While acceleration is...
