An inertial extragradient method for iteratively solving equilibrium problems in real Hilbert spaces

DOI10.1080/00207160.2021.1949711zbMath1491.65052OpenAlexW3196218107MaRDI QIDQ5079429

Habib ur Rehman, Meshal Shutaywi, Poom Kumam, Nuttapol Pakkaranang, Nopparat Wairojjana

Publication date: 27 May 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2021.1949711

zbMATH Keywords

weak convergencefixed pointHilbert spaceequilibrium problemLipschitz-type conditions

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for variational inequalities and related problems (65K15)

Cites Work

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• A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
• An inexact subgradient algorithm for equilibrium problems
• Dual extragradient algorithms extended to equilibrium problems
• Equilibrium models and variational inequalities.
• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• On ergodic algorithms for equilibrium problems
• Regularization algorithms for solving monotone Ky Fan inequalities with application to a Nash-Cournot equilibrium model
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Equilibrium programming using proximal-like algorithms
• An inertial-like proximal algorithm for equilibrium problems
• Weak convergence of explicit extragradient algorithms for solving equilibrium problems
• The extragradient algorithm with inertial effects extended to equilibrium problems
• An explicit extragradient algorithm for solving variational inequalities
• Inertial extragradient algorithms for solving equilibrium problems
• Modified hybrid projection methods for finding common solutions to variational inequality problems
• Halpern subgradient extragradient method extended to equilibrium problems
• Explicit iterative algorithms for solving equilibrium problems
• Construction of fixed points of nonlinear mappings in Hilbert space
• Generalized monotone bifunctions and equilibrium problems
• A New Two-Step Proximal Algorithm of Solving the Problem of Equilibrium Programming
• Convergence of an adaptive penalty scheme for finding constrained equilibria
• New extragradient method for a class of equilibrium problems in Hilbert spaces
• Modified extragradient algorithms for solving equilibrium problems
• The subgradient extragradient method extended to equilibrium problems
• New extragradient methods with non-convex combination for pseudomonotone equilibrium problems with applications in Hilbert spaces
• Relaxed extragradient algorithm for solving pseudomonotone variational inequalities in Hilbert spaces
• Extragradient algorithms extended to equilibrium problems¶
• Some methods of speeding up the convergence of iteration methods
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Modified Popov's explicit iterative algorithms for solving pseudomonotone equilibrium problems
• Convex analysis and monotone operator theory in Hilbert spaces
• An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping

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