Results 1 to 10 of about 948 (198)

An alternative extragradient projection method for quasi-equilibrium problems [PDF]

open access: yesJournal of Inequalities and Applications, 2018
For the quasi-equilibrium problem where the players’ costs and their strategies both depend on the rival’s decisions, an alternative extragradient projection method for solving it is designed.
Haibin Chen, Yiju Wang, Yi Xu
doaj   +5 more sources

Extragradient Method for Fixed Points in CAT(0) Spaces [PDF]

open access: yesJournal of Function Spaces, 2021
This paper is dedicated to construct a viscosity extragradient algorithm for finding fixed points in a CAT(0) space. The mappings we consider are nonexpansive. Strong convergence of the algorithm is obtained.
Yu-Pei Lv   +4 more
doaj   +4 more sources

Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities

open access: yesJournal of Mathematics, 2021
In this paper, we investigate the monotone variational inequality in Hilbert spaces. Based on Censor’s subgradient extragradient method, we propose two modified subgradient extragradient algorithms with self-adaptive and inertial techniques for finding ...
Danfeng Wu   +3 more
doaj   +2 more sources

Bounded perturbation resilience of extragradient-type methods and their applications [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper we study the bounded perturbation resilience of the extragradient and the subgradient extragradient methods for solving a variational inequality (VI) problem in real Hilbert spaces.
Q-L Dong, A Gibali, D Jiang, Y Tang
doaj   +2 more sources

Extragradient subgradient methods for solving bilevel equilibrium problems. [PDF]

open access: yesJ Inequal Appl, 2018
In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions involving pseudomonotone and Lipschitz-type conditions, we obtain the strong convergence of the iterative sequence generated by the first algorithm.
Yuying T, Dinh BV, Kim DS, Plubtieng S.
europepmc   +6 more sources

Parallel Extragradient-Proximal Methods for Split Equilibrium Problems

open access: yesMathematical Modelling and Analysis, 2016
In this paper, we introduce two parallel extragradient-proximal methods for solving split equilibrium problems. The algorithms combine the extragradient method, the proximal method and the shrinking projection method.
Dang Van Hieu
doaj   +5 more sources

An Implicit Extragradient Method for Hierarchical Variational Inequalities [PDF]

open access: yesFixed Point Theory and Applications, 2011
As a well-known numerical method, the extragradient method solves numerically the variational inequality of finding such that , for all . In this paper, we devote to solve the following hierarchical variational inequality Find such that , for
Liou YeongCheng, Yao Yonghong
doaj   +4 more sources

Mann Hybrid Deepest-Descent Extragradient Method with Line-Search Process for Hierarchical Variational Inequalities for Countable Nonexpansive Mappings

open access: yesJournal of Mathematics, 2023
In real Hilbert spaces, let the CFPP indicate a common fixed-point problem of asymptotically nonexpansive operator and countably many nonexpansive operators, and suppose that the HVI and VIP represent a hierarchical variational inequality and a ...
Yun-Ling Cui   +6 more
doaj   +2 more sources

An Inertial Subgradient Extragradient Method for Efficiently Solving Fixed-Point and Equilibrium Problems in Infinite Families of Demimetric Mappings [PDF]

open access: goldMathematics
The primary objective of this article is to enhance the convergence rate of the extragradient method through the careful selection of inertial parameters and the design of a self-adaptive stepsize scheme.
Habib ur Rehman   +3 more
doaj   +2 more sources

Two Nonmonotonic Self-Adaptive Strongly Convergent Projection-Type Methods for Solving Pseudomonotone Variational Inequalities

open access: yesJournal of Function Spaces, 2021
The primary objective of this study is to introduce two novel extragradient-type iterative schemes for solving variational inequality problems in a real Hilbert space.
Chainarong Khunpanuk   +2 more
doaj   +2 more sources

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