Results 61 to 70 of about 745 (143)

A new subgradient extragradient method for solving the split modified system of variational inequality problems and fixed point problem

Journal of Inequalities and Applications, 2022
We introduce a new subgradient extragradient algorithm utilizing the concept of the set of solutions of the split modified system of variational inequality problems (SMSVIP).
Anchalee Sripattanet, Atid Kangtunyakarn
doaj   +1 more source

Inertial Optimization Based Two-Step Methods for Solving Equilibrium Problems with Applications in Variational Inequality Problems and Growth Control Equilibrium Models

Energies, 2020
This manuscript aims to incorporate an inertial scheme with Popov’s subgradient extragradient method to solve equilibrium problems that involve two different classes of bifunction.
Habib ur Rehman, Poom Kumam, Meshal Shutaywi, Nasser Aedh Alreshidi , Wiyada Kumam   +4 more
doaj   +1 more source

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

Symmetry, 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, Xinhong Chen
openaire   +1 more source

Dynamical inertial extragradient techniques for solving equilibrium and fixed-point problems in real Hilbert spaces

Journal of Inequalities and Applications, 2023
In this paper, we propose new methods for finding a common solution to pseudomonotone and Lipschitz-type equilibrium problems, as well as a fixed-point problem for demicontractive mapping in real Hilbert spaces.
Bancha Panyanak, Chainarong Khunpanuk, Nattawut Pholasa, Nuttapol Pakkaranang   +3 more
doaj   +1 more source

An Extragradient-Based Alternating Direction Method for Convex Minimization [PDF]

, 2015
In this paper, we consider the problem of minimizing the sum of two convex functions subject to linear linking constraints. The classical alternating direction type methods usually assume that the two convex functions have relatively easy proximal ...
Lin, Tianyi, Ma, Shiqian, Zhang, Shuzhong   +2 more
core   +1 more source

Strong Convergence of Extragradient-Type Method to Solve Pseudomonotone Variational Inequalities Problems

Axioms, 2020
A number of applications from mathematical programmings, such as minimax problems, penalization methods and fixed-point problems can be formulated as a variational inequality model.
Nopparat Wairojjana, Nuttapol Pakkaranang, Habib ur Rehman, Nattawut Pholasa, Tiwabhorn Khanpanuk   +4 more
doaj   +1 more source

A Partial Regularization Method for Saddle Point Seeking [PDF]

, 1994
This article generalizes the Nash equilibrium approach to linear programming to the saddle point problem. The problem is shown to be equivalent to a non-zero sum game in which objectives of the players are obtained by partial regularization of the ...
Ruszczynski, A.
core  

Image and signal recovery via a novel alternating golden ratio two-subgradient extragradient method

Ain Shams Engineering Journal
We introduce and analyze a novel two-subgradient extragradient method (TSEGM) for solving monotone variational inequality problems (VIPs) in real Hilbert spaces.
Habib ur Rehman, Kamonrat Sombut, Hasanen A. Hammad, Thidaporn Seangwattana   +3 more
doaj   +1 more source

A subgradient extragradient algorithm for solving monotone variational inequalities in Banach spaces

Journal of Inequalities and Applications, 2020
In this paper, we introduce an algorithm for solving classical variational inequalities problem with Lipschitz continuous and monotone mapping in Banach space. We modify the subgradient extragradient methods with a new and simple iterative step size, the
Fei Ma
doaj   +1 more source

Joint Reconstruction via Coupled Bregman Iterations with Applications to PET-MR Imaging

, 2017
Joint reconstruction has recently attracted a lot of attention, especially in the field of medical multi-modality imaging such as PET-MRI. Most of the developed methods rely on the comparison of image gradients, or more precisely their location ...
Brinkmann, Eva-Maria, Burger, Martin, Rasch, Julian   +2 more
core   +1 more source