Results 1 to 10 of about 681 (178)

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   +6 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   +6 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   +3 more sources

Extended Extragradient Methods for Generalized Variational Inequalities [PDF]

open access: yesJournal of Applied Mathematics, 2012
We suggest a modified extragradient method for solving the generalized variational inequalities in a Banach space. We prove some strong convergence results under some mild conditions on parameters. Some special cases are also discussed.
Yonghong Yao   +3 more
doaj   +4 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   +7 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

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

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

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

Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space [PDF]

open access: yesJournal of Inequalities and Applications, 2017
In this paper, we consider the algorithm proposed in recent years by Censor, Gibali and Reich, which solves split variational inequality problem, and Korpelevich’s extragradient method, which solves variational inequality problems. As our main result, we
Ming Tian, Bing-Nan Jiang
doaj   +2 more sources

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