On modified subgradient extragradient methods for pseudomonotone variational inequality problems with applications

DOI10.1007/s40314-021-01642-zzbMath1482.47131OpenAlexW3203555908MaRDI QIDQ2052286

Xiaolong Qin, Songxiao Li, Bing Tan

Publication date: 25 November 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-021-01642-z

zbMATH Keywords

optimal controlstrong convergencevariational inequalityextragradient methodpseudomonotone mappingnon-Lipschitz operator

Mathematics Subject Classification ID

Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25)

Related Items (1)

Modified subgradient extragradient algorithms with a new line-search rule for variational inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Iterative methods for fixed point problems in Hilbert spaces
• Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces
• The subgradient extragradient method for solving variational inequalities in Hilbert space
• Approximation of zeros of inverse strongly monotone operators in Banach spaces
• Strong convergence result for solving monotone variational inequalities in Hilbert space
• Weak and strong convergence theorems for variational inequality problems
• On the convergence of the gradient projection method for convex optimal control problems with bang-bang solutions
• Weak convergence of iterative methods for solving quasimonotone variational inequalities
• Self-adaptive inertial extragradient algorithms for solving variational inequality problems
• New algorithms and convergence theorems for solving variational inequalities with non-Lipschitz mappings
• Strong convergence theorems for solving variational inequality problems with pseudo-monotone and non-Lipschitz operators
• Solving mixed variational inequalities beyond convexity
• New inertial relaxed method for solving split feasibilities
• Weak and strong convergence theorems for solving pseudo-monotone variational inequalities with non-Lipschitz mappings
• A strong convergence theorem for solving pseudo-monotone variational inequalities using projection methods
• Golden ratio algorithms for variational inequalities
• New extragradient methods for solving equilibrium problems in Banach spaces
• Strong convergence of inertial algorithms for solving equilibrium problems
• Self adaptive inertial subgradient extragradient algorithms for solving pseudomonotone variational inequality problems
• A new iterative method for solving pseudomonotone variational inequalities with non-Lipschitz operators
• Convergence analysis of projection method for variational inequalities
• Accelerated subgradient extragradient methods for variational inequality problems
• A class of projection and contraction methods for monotone variational inequalities
• Strong convergence result for monotone variational inequalities
• Convergence of an extragradient-type method for variational inequality with applications to optimal control problems
• Regularization of quasi-variational inequalities
• Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
• A New Projection Method for Variational Inequality Problems
• Variational Analysis and Applications
• Single projection method for pseudo-monotone variational inequality in Hilbert spaces
• Modified subgradient extragradient algorithms for solving monotone variational inequalities
• A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
• Nesterov perturbations and projection methods applied to IMRT
• Hybrid inertial subgradient extragradient methods for variational inequalities and fixed point problems involving asymptotically nonexpansive mappings
• A monotone Bregan projection algorithm for fixed point and equilibrium problems in a reflexive Banach space
• Qualitative properties of the minimum sum-of-squares clustering problem
• Convergence rate analysis of proximal gradient methods with applications to composite minimization problems
• Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities
• Projected Reflected Gradient Methods for Monotone Variational Inequalities
• Self-adaptive inertial subgradient extragradient algorithm for solving pseudomonotone variational inequalities

This page was built for publication: On modified subgradient extragradient methods for pseudomonotone variational inequality problems with applications