Projection algorithms for solving nonmonotone equilibrium problems in Hilbert space
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Publication:268309
DOI10.1016/j.cam.2016.01.054zbMath1334.90125OpenAlexW2259323994MaRDI QIDQ268309
Publication date: 14 April 2016
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.2016.01.054
Convex programming (90C25) Numerical optimization and variational techniques (65K10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
- Refinements of existence results for relaxed quasimonotone equilibrium problems
- Nonmonotone equilibrium problems: Coercivity conditions and weak regularization
- Auxiliary principle and algorithm for mixed equilibrium problems and bilevel mixed equilibrium problems in Banach spaces
- Dual extragradient algorithms extended to equilibrium problems
- Auxiliary principle technique for equilibrium problems
- Solution methods for pseudomonotone variational inequalities
- A bundle method for solving equilibrium problems
- Gap functions for equilibrium problems
- New existence results for equilibrium problems
- Extragradient methods and linesearch algorithms for solving Ky Fan inequalities and fixed point problems
- Existence and solution methods for equilibria
- Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
- Strong convergence of the CQ method for fixed point iteration processes
- A new double projection algorithm for variational inequalities
- An outer approximation algorithm for equilibrium problems in Hilbert spaces
- Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
- Convergence of an adaptive penalty scheme for finding constrained equilibria
- A New Projection Method for Variational Inequality Problems
- On Projection Algorithms for Solving Convex Feasibility Problems
- Iterative Algorithms for Equilibrium Problems
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Bilevel Optimization as a Regularization Approach to Pseudomonotone Equilibrium Problems
- The subgradient extragradient method extended to equilibrium problems
- A projection algorithm for solving pseudomonotone equilibrium problems and it's application to a class of bilevel equilibria
- Extragradient algorithms extended to equilibrium problems¶
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- Unnamed Item
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