New outer proximal methods for solving variational inequality problems
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Publication:6051168
DOI10.1007/s10957-023-02202-7zbMath1525.65058MaRDI QIDQ6051168
No author found.
Publication date: 19 September 2023
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
outer approximationprojection methodvariational inequality problemproximal operatorquasicontractiveness
Convex programming (90C25) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Existence of solutions for minimax problems (49J35) Numerical methods for variational inequalities and related problems (65K15)
Cites Work
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- On the \(O(1/t)\) convergence rate of the projection and contraction methods for variational inequalities with Lipschitz continuous monotone operators
- An inexact subgradient algorithm for equilibrium problems
- Outer approximation algorithms for pseudomonotone equilibrium problems
- Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
- Iterative methods for solving variational inequalities in Euclidean space
- Three-step relaxed hybrid steepest-descent methods for variational inequalities
- Viscosity method for hierarchical fixed point approach to variational inequalities
- Convergence analysis of modified hybrid steepest-descent methods with variable parameters for variational inequalities
- Auxiliary problem principle extended to variational inequalities
- Foundations of optimization
- Convergence of a splitting inertial proximal method for monotone operators
- Auxiliary principle technique for hierarchical equilibrium problems
- Inertial Tseng's extragradient method for solving variational inequality problems of pseudo-monotone and non-Lipschitz operators
- Strong convergence result for monotone variational inequalities
- Strong convergence of the modified hybrid steepest-descent methods for general variational inequalities
- Outer approximation methods for solving variational inequalities in Hilbert space
- Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
- Application of Quasi-Nonexpansive Operators to an Iterative Method for Variational Inequality
- Outer approximation schemes for generalized semi-infinite variational inequality problems
- A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
- A relaxed projection method for variational inequalities
- Projection methods for variational inequalities with application to the traffic assignment problem
- Monotone Operators and the Proximal Point Algorithm
- A New Projection Method for Variational Inequality Problems
- First-Order Methods in Optimization
- Weak Convergence of a Relaxed and Inertial Hybrid Projection-Proximal Point Algorithm for Maximal Monotone Operators in Hilbert Space
- Hybrid Steepest Descent Method for Variational Inequality Problem over the Fixed Point Set of Certain Quasi-nonexpansive Mappings
- Modified Projection-Type Methods for Monotone Variational Inequalities
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- A New Merit Function and a Successive Quadratic Programming Algorithm for Variational Inequality Problems
- Methods for Variational Inequality Problem Over the Intersection of Fixed Point Sets of Quasi-Nonexpansive Operators
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- Strong Convergence of Block-Iterative Outer Approximation Methods for Convex Optimization
- Modified parallel projection methods for the multivalued lexicographic variational inequalities using proximal operator in Hilbert spaces
- Projected Reflected Gradient Methods for Monotone Variational Inequalities
- Mann-Type Steepest-Descent and Modified Hybrid Steepest-Descent Methods for Variational Inequalities in Banach Spaces
- An Outer Approximation Method for the Variational Inequality Problem
- Convex analysis and monotone operator theory in Hilbert spaces
- Set-valued analysis
- Equilibrium problems: nonsmooth optimization and variational inequality models
