A modified Solodov-Svaiter method for solving nonmonotone variational inequality problems

DOI10.1007/s11075-021-01248-wOpenAlexW4220897472MaRDI QIDQ2159432

Tran Thi Huyen Thanh, Bui Van Dinh, Hy Đú'c Mạnh

Publication date: 1 August 2022

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-021-01248-w

zbMATH Keywords

variational inequalitiesprojection algorithmnon-monotonicityArmijo linesearch

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (1)

A new self-adaptive iterative method for variational inclusion problems on Hadamard manifolds with applications

Cites Work

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• Projection algorithms for solving nonmonotone equilibrium problems in Hilbert space
• Algorithms for a class of bilevel programs involving pseudomonotone variational inequalities
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Versions of the subgradient extragradient method for pseudomonotone variational inequalities
• Equilibrium models and variational inequalities.
• A class of shrinking projection extragradient methods for solving non-monotone equilibrium problems in Hilbert spaces
• Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems
• Pseudomonotone variational inequality problems: Existence of solutions
• A new double-projection method for solving variational inequalities in Banach spaces
• Solvability of the Minty variational inequality
• Strong convergence of a double projection-type method for monotone variational inequalities in Hilbert spaces
• Some recent advances in projection-type methods for variational inequalities
• A projection algorithm for non-monotone variational inequalities
• Inertial extragradient algorithms for strongly pseudomonotone variational inequalities
• Self-adaptive gradient projection algorithms for variational inequalities involving non-Lipschitz continuous operators
• A double projection method for solving variational inequalities without monotonicity
• On some non-linear elliptic differential functional equations
• A Proximal Point Method for the Variational Inequality Problem in Banach Spaces
• Two-Metric Projection Methods for Constrained Optimization
• A New Projection Method for Variational Inequality Problems
• A variant of korpelevich’s method for variational inequalities with a new search strategy
• Iterative methods for linear complementarity problems with upperbounds on primary variables
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Projected Reflected Gradient Methods for Monotone Variational Inequalities
• Convex analysis and monotone operator theory in Hilbert spaces

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