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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...
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Finding the Forward-Douglas–Rachford-Forward Method
We consider the monotone inclusion problem with a sum of 3 operators, in which 2 are monotone and 1 is monotone-Lipschitz. The classical...
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Strongly convergent inertial forward-backward-forward algorithm without on-line rule for variational inequalities
This paper studies a strongly convergent inertial forward-backward-forward algorithm for the variational inequality problem in Hilbert spaces. In our...
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Self-adaptive Technique with Double Inertial Steps for Inclusion Problem on Hadamard Manifolds
In this article, we investigate monotone and Lipschitz continuous variational inclusion problem in the settings of Hadamard manifolds. We propose a...
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Modified Extragradient Method for Pseudomonotone Variational Inequalities in Infinite Dimensional Hilbert Spaces
In this paper, we prove the weak convergence of a modified extragradient algorithm for solving a variational inequality problem involving a...
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Generalized forward–backward splitting with penalization for monotone inclusion problems
We introduce a generalized forward–backward splitting method with penalty term for solving monotone inclusion problems involving the sum of a finite...
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Forward–backward–forward algorithms involving two inertial terms for monotone inclusions
We come up with a new type of forward–backward–forward algorithms for monotone inclusion problems based on a self-adaptive technique to avoid the...
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Mann-type algorithms for solving the monotone inclusion problem and the fixed point problem in reflexive Banach spaces
In this paper, we introduce two algorithms for finding a common solution of the monotone inclusion problem and the fixed point problem for a...
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Inertial iterative algorithms for common solution of variational inequality and system of variational inequalities problems
The article introduces a new algorithm for solving a class of variational inequality problems for monotone operators and system of nonlinear...
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New inertial factors of the Krasnosel’skiı̆-Mann iteration
We consider inertial iterative schemes for approximating a fixed point of any given non-expansive operator in real Hilbert spaces. We provide new...
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Convergence of Two Simple Methods for Solving Monotone Inclusion Problems in Reflexive Banach Spaces
We propose two very simple methods, the first one with constant step sizes and the second one with self-adaptive step sizes, for finding a zero of...
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On Globally Q-Linear Convergence of a Splitting Method for Group Lasso
In this paper, we discuss a splitting method for group Lasso. By assuming that the sequence of the step lengths has positive lower bound and positive...
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An Inexact S**arn’s Partial Inverse Method with Applications to Operator Splitting and Composite Optimization
We propose and study the iteration-complexity of an inexact version of the S**arn’s partial inverse method. Its complexity analysis is performed by...
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Convergence Results of Forward-Backward Algorithms for Sum of Monotone Operators in Banach Spaces
It is well known that many problems in image recovery, signal processing, and machine learning can be modeled as finding zeros of the sum of maximal...
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Iterative algorithm for singularities of inclusion problems in Hadamard manifolds
The main purpose of this paper is to introduce a new iterative algorithm to solve inclusion problems in Hadamard manifolds. Moreover, applications to...
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Tseng type methods for solving inclusion problems and its applications
In this paper, we introduce two modifications of the forward–backward splitting method with a new step size rule for inclusion problems in real...
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Projective method of multipliers for linearly constrained convex minimization
We present a method for solving linearly constrained convex optimization problems, which is based on the application of known algorithms for finding...
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Single projection algorithm for variational inequalities in Banach spaces with application to contact problem
We study the single projection algorithm of Tseng for solving a variational inequality problem in a 2-uniformly convex Banach space. The underline...
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Continuous Dynamics Related to Monotone Inclusions and Non-Smooth Optimization Problems
The aim of this survey is to present the main important techniques and tools from variational analysis used for first and second order dynamical...
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New analysis of linear convergence of gradient-type methods via unifying error bound conditions
This paper reveals that a common and central role, played in many error bound (EB) conditions and a variety of gradient-type methods, is a residual...