Results 71 to 80 of about 13,235,971 (148)

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

Mildly Inertial Subgradient Extragradient Method for Variational Inequalities Involving an Asymptotically Nonexpansive and Finitely Many Nonexpansive Mappings

Mathematics, 2019
In a real Hilbert space, let the notation VIP indicate a variational inequality problem for a Lipschitzian, pseudomonotone operator, and let CFPP denote a common fixed-point problem of an asymptotically nonexpansive mapping and finitely many nonexpansive
Lu-Chuan Ceng, Xiaolong Qin, Yekini Shehu, Jen-Chih Yao   +3 more
doaj   +1 more source

Approximation Results for Equilibrium Problems Involving Strongly Pseudomonotone Bifunction in Real Hilbert Spaces

Axioms, 2020
A plethora of applications in non-linear analysis, including minimax problems, mathematical programming, the fixed-point problems, saddle-point problems, penalization and complementary problems, may be framed as a problem of equilibrium.
Wiyada Kumam, Kanikar Muangchoo
doaj   +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

Weak and Error-Bound Linear Convergence of a Safeguarded Anderson-Accelerated Subgradient Extragradient Method

Mathematics
We propose a safeguarded Anderson-accelerated subgradient extragradient method for variational inequalities in real Hilbert spaces. The method combines classical projection onto the feasible set with an explicit projection onto a supporting half space ...
Austine Efut Ofem, Adhir Maharaj, Virath Singh   +2 more
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

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 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

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

Mathematics
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, Fouzia Amir, Jehad Alzabut, Mohammad Athar Azim   +3 more
doaj   +1 more source

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

Communications in Nonlinear Science and Numerical Simulation
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.
Chinedu Izuchukwu, Grace Nnennaya Ogwo, Bertin Zinsou   +2 more
openaire   +3 more sources