Results 41 to 50 of about 13,235,971 (148)

On Mann-Type Subgradient-like Extragradient Method with Linear-Search Process for Hierarchical Variational Inequalities for Asymptotically Nonexpansive Mappings

open access: yesMathematics, 2021
We propose two Mann-type subgradient-like extra gradient iterations with the line-search procedure for hierarchical variational inequality (HVI) with the common fixed-point problem (CFPP) constraint of finite family of nonexpansive mappings and an ...
Lu-Chuan Ceng   +2 more
doaj   +1 more source

A New Iterative Algorithm for Pseudomonotone Equilibrium Problem and a Finite Family of Demicontractive Mappings

open access: yesAbstract and Applied Analysis, Volume 2020, Issue 1, 2020., 2020
In this paper, we introduce a new iterative method in a real Hilbert space for approximating a point in the solution set of a pseudomonotone equilibrium problem which is a common fixed point of a finite family of demicontractive mappings. Our result does not require that we impose the condition that the sum of the control sequences used in the finite ...
F. U. Ogbuisi   +2 more
wiley   +1 more source

Cyclic subgradient extragradient methods for equilibrium problems [PDF]

open access: yesArabian Journal of Mathematics, 2016
En este artículo, presentamos un algoritmo de extragradiente de subgradiente cíclico y su forma modificada para encontrar una solución de un sistema de problemas de equilibrio para una clase de bifunciones continuas de tipo pseudomonotono y Lipschitz. La idea principal de estos algoritmos se origina a partir de varios resultados previamente conocidos ...
openaire   +1 more source

Distributed Asymptotic Minimization of Sequences of Convex Functions by a Broadcast Adaptive Subgradient Method [PDF]

open access: yes, 2011
We propose a non-hierarchical decentralized algorithm for the asymptotic minimization of possibly time-varying convex functions. In our method, each agent in a network has a private, local (possibly time-varying) cost function, and the objective is to ...
Jennings, Nick   +3 more
core   +2 more sources

A Relaxed Inertial Factor of the Modified Subgradient Extragradient Method for Solving Pseudo Monotone Variational Inequalities in Hilbert Spaces

open access: yes, 2023
In this paper, we investigate pseudomonotone and Lipschitz continuous variational inequalities in real Hilbert spaces. For solving this problem, we propose a new method that combines the advantages of the subgradient extragradient method and the ...
Thong D.V., Dung V.T.
core   +1 more source

An inertial subgradient extragradient algorithm extended to pseudomonotone equilibrium problems

open access: yes, 2020
The paper introduces an inertial extragradient subgradient method with self-adaptive step sizes for solving equilibrium problems in real Hilbert spaces.
Iyiola, Olaniyi S.   +7 more
core   +1 more source

A new inertial condition on the subgradient extragradient method for solving pseudomonotone equilibrium problem [PDF]

open access: yes, 2023
In this paper we study the pseudomonotone equilibrium problem. We consider a new inertial condition for the subgradient extragradient method with self-adaptive step size for approximating a solution of the equilibrium problem in a real Hilbert space. Our
Izuchukwu, Chinedu   +2 more
core  

A Mean Extragradient Method for Solving Variational Inequalities

open access: yes, 2021
We propose a modified extragradient method for solving the variational inequality problem in a Hilbert space. The method is a combination of the well-known subgradient extragradient with the Mann’s mean value method in which the updated iterate is picked
Apichit Buakird   +2 more
core   +1 more source

A New Construction and Convergence Analysis of Non-Monotonic Iterative Methods for Solving ρ-Demicontractive Fixed Point Problems and Variational Inequalities Involving Pseudomonotone Mapping

open access: yesMathematics, 2022
Two new inertial-type extragradient methods are proposed to find a numerical common solution to the variational inequality problem involving a pseudomonotone and Lipschitz continuous operator, as well as the fixed point problem in real Hilbert spaces ...
Chainarong Khunpanuk   +2 more
doaj   +1 more source

A New Extragradient‐Type Algorithm for the Split Feasibility Problem

open access: yesMathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016
We consider the split feasibility problem (SFP) in Hilbert spaces, inspired by extragradient method presented by Ceng, Ansari for split feasibility problem, subgradient extragradient method proposed by Censor, and variant extragradient‐type method presented by Yao for variational inequalities; we suggest an extragradient‐type algorithm for the SFP.
Yazheng Dang   +3 more
wiley   +1 more source

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