A novel accelerated extragradient algorithm to solve pseudomonotone variational inequalities

DOI10.1007/s40065-022-00400-1OpenAlexW4303646878MaRDI QIDQ2693828

Nuttapol Pakkaranang, Supansa Noinakorn, Natttawut Pholasa, Nopparat Wairojjana

Publication date: 24 March 2023

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-022-00400-1

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Parallel algorithms in computer science (68W10) Parallel numerical computation (65Y05) Numerical methods for variational inequalities and related problems (65K15)

Cites Work

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• The subgradient extragradient method for solving variational inequalities in Hilbert space
• Equilibrium models and variational inequalities.
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• On systems of variational inequalities
• Weak and strong convergence theorems for variational inequality problems
• Inertial projection and contraction algorithms for variational inequalities
• Modified subgradient extragradient method for variational inequality problems
• Factorization of Minty and Stampacchia variational inequality systems
• Some iterative methods for nonconvex variational inequalities
• An inertial subgradient-type method for solving single-valued variational inequalities and fixed point problems
• Weak convergence of explicit extragradient algorithms for solving equilibrium problems
• The extragradient algorithm with inertial effects extended to equilibrium problems
• A strong convergence theorem for Tseng's extragradient method for solving variational inequality problems
• Modified hybrid projection methods for finding common solutions to variational inequality problems
• A New Projection Method for Variational Inequality Problems
• A variant of korpelevich’s method for variational inequalities with a new search strategy
• An Introduction to Variational Inequalities and Their Applications
• Another control condition in an iterative method for nonexpansive mappings
• A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
• Improved inertial extragradient methods for solving pseudo-monotone variational inequalities
• Some methods of speeding up the convergence of iteration methods
• Modified Popov's explicit iterative algorithms for solving pseudomonotone equilibrium problems
• Convex analysis and monotone operator theory in Hilbert spaces
• Network economics. A variational inequality approach.