Extragradient methods for solving nonconvex variational inequalities

DOI10.1016/j.cam.2010.10.052zbMath1211.65082OpenAlexW1969575230MaRDI QIDQ631917

Yonghong Yao, Muhammad Aslam Noor, Khalida Inayat Noor, Eisa A. Al-Said

Publication date: 14 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.10.052

zbMATH Keywords

AlgorithmConvergenceVariational inequalitiesIterative methodMonotone operatorsProjection operator

Mathematics Subject Classification ID

Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical methods for variational inequalities and related problems (65K15)

Related Items (9)

On new proximal point methods for solving the variational inequalities ⋮ Convergence of the projection and contraction methods for solving bilevel variational inequality problems ⋮ Some proximal methods for solving mixed variational inequalities ⋮ Existence theorems for multivalued variational inequality problems on uniformly prox-regular sets ⋮ Nonconvex Policy Search Using Variational Inequalities ⋮ On a unified implicit method for variational inequalities ⋮ Strong convergence of a modified extragradient method to the minimum-norm solution of variational inequalities ⋮ On nonconvex bifunction variational inequalities ⋮ Nonconvex Variational Inequalities

Cites Work

• On an implicit method for nonconvex variational inequalities
• Iterative schemes for nonconvex variational inequalities.
• Projection methods for nonconvex variational inequalities
• Implicit iterative methods for nonconvex variational Inequalities
• An extragradient algorithm for solving general nonconvex variational inequalities
• General variational inequalities
• Some aspects of variational inequalities
• New approximation schemes for general variational inequalities
• On some variational inequalities
• Some developments in general variational inequalities
• Some iterative methods for nonconvex variational inequalities
• Splitting Algorithms for the Sum of Two Nonlinear Operators
• Local differentiability of distance functions
• An Introduction to Variational Inequalities and Their Applications
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