Results 11 to 20 of about 202 (128)

Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert Space

open access: yesJournal of Mathematics
In this research, the modified subgradient extragradient method and K-mapping generated by a finite family of finite Lipschitzian demicontractions are introduced.
Sarawut Suwannaut
doaj   +3 more sources

Inertial Subgradient Extragradient Methods for Solving Variational Inequality Problems and Fixed Point Problems [PDF]

open access: yesAxioms, 2020
We propose two new iterative algorithms for solving K-pseudomonotone variational inequality problems in the framework of real Hilbert spaces. These newly proposed methods are obtained by combining the viscosity approximation algorithm, the Picard Mann ...
Godwin Amechi Okeke   +2 more
doaj   +6 more sources

An Inertial Subgradient Extragradient Method for Approximating Solutions to Equilibrium Problems in Hadamard Manifolds

open access: yesAxioms, 2023
In this work, we are concerned with the iterative approximation of solutions to equilibrium problems in the framework of Hadamard manifolds. We introduce a subgradient extragradient type method with a self-adaptive step size. The use of a step size which
Olawale Kazeem Oyewole, Simeon Reich
doaj   +3 more sources

Analysis of Subgradient Extragradient Method for Variational Inequality Problems and Null Point Problems

open access: yesSymmetry, 2022
In this paper, we introduce a new numerical method for finding a common solution to variational inequality problems involving monotone mappings and null point problems involving a finite family of inverse-strongly monotone mappings. The method is inspired by the subgradient extragradient method and the regularization method.
Yanlai Song
exaly   +3 more sources

A Parallel-Viscosity-Type Subgradient Extragradient-Line Method for Finding the Common Solution of Variational Inequality Problems Applied to Image Restoration Problems

open access: yesMathematics, 2020
In this paper, we study a modified viscosity type subgradient extragradient-line method with a parallel monotone hybrid algorithm for approximating a common solution of variational inequality problems.
Suthep Suantai   +3 more
doaj   +4 more sources

Projected-Reflected Subgradient-Extragradient Method and Its Real-World Applications [PDF]

open access: yesSymmetry, 2021
Our main focus in this work is the classical variational inequality problem with Lipschitz continuous and pseudo-monotone mapping in real Hilbert spaces. An adaptive reflected subgradient-extragradient method is presented along with its weak convergence analysis.
Aviv Gibali   +3 more
openaire   +2 more sources

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

open access: yesMathematics, 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   +6 more
doaj   +2 more sources

A class of strongly convergent subgradient extragradient methods for solving quasimonotone variational inequalities

open access: yesDemonstratio Mathematica, 2023
The primary goal of this research is to investigate the approximate numerical solution of variational inequalities using quasimonotone operators in infinite-dimensional real Hilbert spaces.
Rehman Habib ur   +4 more
doaj   +5 more sources

Modified Inertial-Type Subgradient Extragradient Methods for Variational Inequalities and Fixed Points of Finite Bregman Relatively Nonexpansive and Demicontractive Mappings

open access: yesAxioms, 2023
In this paper, we design two inertial-type subgradient extragradient algorithms with the linear-search process for resolving the two pseudomonotone variational inequality problems (VIPs) of and the common fixed point problem (CFPP) of finite Bregman ...
Cong-Shan Wang   +5 more
doaj   +2 more sources

Halpern-Subgradient Extragradient Method for Solving Equilibrium and Common Fixed Point Problems in Reflexive Banach Spaces

open access: yesMathematics, 2021
In this paper, using the concept of Bregman distance, we introduce a new Bregman subgradient extragradient method for solving equilibrium and common fixed point problems in a real reflexive Banach space.
Annel Thembinkosi Bokodisa   +2 more
doaj   +2 more sources

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