Results 31 to 40 of about 681 (178)

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

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

Modified subgradient extragradient method for system of variational inclusion problem and finite family of variational inequalities problem in real Hilbert space

Journal of Inequalities and Applications, 2021
For the purpose of this article, we introduce a modified form of a generalized system of variational inclusions, called the generalized system of modified variational inclusion problems (GSMVIP).
Araya Kheawborisut, Atid Kangtunyakarn
doaj   +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

Approximation results for split equilibrium problems and fixed point problems of nonexpansive semigroup in Hilbert spaces

Advances in Difference Equations, 2020
In this paper, we study a modified extragradient method for computing a common solution to the split equilibrium problem and fixed point problem of a nonexpansive semigroup in real Hilbert spaces.
Yasir Arfat, Poom Kumam, Parinya Sa Ngiamsunthorn, Muhammad Aqeel Ahmad Khan, Hammad Sarwar, Hafiz Fukhar-ud-Din   +5 more
doaj   +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   +2 more sources

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

Modified Mann-Type Subgradient Extragradient Rules for Variational Inequalities and Common Fixed Points Implicating Countably Many Nonexpansive Operators

Mathematics, 2022
In a real Hilbert space, let the CFPP, VIP, and HFPP denote the common fixed-point problem of countable nonexpansive operators and asymptotically nonexpansive operator, variational inequality problem, and hierarchical fixed point problem, respectively ...
Yun-Ling Cui, Lu-Chuan Ceng, Fang-Fei Zhang, Cong-Shan Wang, Jian-Ye Li, Hui-Ying Hu, Long He   +6 more
doaj   +1 more source

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