Results 21 to 30 of about 290 (158)

Two New Weak Convergence Algorithms for Solving Bilevel Pseudomonotone Equilibrium Problem in Hilbert Space

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we introduce two new subgradient extragradient algorithms to find the solution of a bilevel equilibrium problem in which the pseudomonotone and Lipschitz‐type continuous bifunctions are involved in a real Hilbert space. The first method needs the prior knowledge of the Lipschitz constants of the bifunctions while the second method uses a
Gaobo Li, Sun Young Cho
wiley   +1 more source

Convergence Analysis of a Modified Forward‐Backward Splitting Algorithm for Minimization and Application to Image Recovery

Computational and Mathematical Methods, Volume 2022, Issue 1, 2022., 2022
Many applications in applied sciences and engineering can be considered as the convex minimization problem with the sum of two functions. One of the most popular techniques to solve this problem is the forward‐backward algorithm. In this work, we aim to present a new version of splitting algorithms by adapting with Tseng’s extragradient method and ...
Kunrada Kankam, Watcharaporn Cholamjiak, Prasit Cholamjiak, Naeem Jan   +3 more
wiley   +1 more source

Extragradient Methods for Solving Split Feasibility Problem and General Equilibrium Problem and Resolvent Operators in Banach Spaces

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, we introduce a new extragradient algorithm by using generalized metric projection. We prove a strong convergence theorem for finding a common element of the solution set of split feasibility problem and the set of fixed points of relatively nonexpansive mapping and a finite family of resolvent operator and the set of solutions of an ...
Mostafa Ghadampour, Giovanni Di Fratta
wiley   +1 more source

A Forward‐Backward‐Forward Algorithm for Solving Quasimonotone Variational Inequalities

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, we continue to investigate the convergence analysis of Tseng‐type forward‐backward‐forward algorithms for solving quasimonotone variational inequalities in Hilbert spaces. We use a self‐adaptive technique to update the step sizes without prior knowledge of the Lipschitz constant of quasimonotone operators.
Tzu-Chien Yin, Nawab Hussain, Calogero Vetro   +2 more
wiley   +1 more source

Steplengths in the extragradient type methods

Journal of Computational and Applied Mathematics, 2010
The authors consider extragradient type methods for monotone variational inequalities. Two new kinds of steplengths in the extragradient type methods are studied. They also give some numerical experiments to illustrate their results.
Xiang Wang, Bingsheng He, Li-Zhi Liao
openaire   +3 more sources

Novel Algorithms for Solving a System of Absolute Value Variational Inequalities

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The goal of this paper is to study a new system of a class of variational inequalities termed as absolute value variational inequalities. Absolute value variational inequalities present a rational, pragmatic, and novel framework for investigating a wide range of equilibrium problems that arise in a variety of disciplines.
Safeera Batool, Muhammad Aslam Noor, Riaz Ahmad, Ilyas Khan, Mulugeta Andualem, Andrea Scapellato   +5 more
wiley   +1 more source

An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational inequality and the fixed point of a pseudocontractive operator.
Tzu-Chien Yin, Yan-Kuen Wu, Ching-Feng Wen, Ljubisa Kocinac   +3 more
wiley   +1 more source

A Self‐Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
This article aims to research iterative schemes for searching a solution of a quasimonotone variational inequality in a Hilbert space. For solving this quasimonotone variational inequality, we propose an iterative procedure which combines a self‐adaptive rule and the extragradient algorithm.
Li-Jun Zhu, Tzu-Chien Yin, Hüseyin Işık   +2 more
wiley   +1 more source

An Extragradient-Based Alternating Direction Method for Convex Minimization [PDF]

Foundations of Computational Mathematics, 2015
In this paper, we consider the problem of minimizing the sum of two convex functions subject to linear linking constraints. The classical alternating direction type methods usually assume that the two convex functions have relatively easy proximal mappings.
Tianyi Lin, Shiqian Ma, Shuzhong Zhang
openaire   +4 more sources

Mann-Type Extragradient Methods for General Systems of Variational Inequalities with Multivalued Variational Inclusion Constraints in Banach Spaces

Abstract and Applied Analysis, 2013
We introduce Mann-type extragradient methods for a general system of variational inequalities with solutions of a multivalued variational inclusion and common fixed points of a countable family of nonexpansive mappings in real smooth Banach spaces.
Lu-Chuan Ceng, Abdul Latif, Saleh A. Al-Mezel   +2 more
doaj   +1 more source