The Ishikawa Subgradient Extragradient Method for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces
DOI10.1080/01630563.2020.1737937zbMath1450.90029OpenAlexW3010707918MaRDI QIDQ5119595
Manh Hy Duc, Ha Nguyen Thi Thanh, Thanh Tran Thi Huyen, Bui Van Dinh
Publication date: 31 August 2020
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2020.1737937
strong convergenceHilbert spaceequilibriaquasi-nonexpansive mappingLipschitz-type continuouspseudo-monotone
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
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- Projection algorithms for solving nonmonotone equilibrium problems in Hilbert space
- Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces
- Extragradient algorithms for equilibrium problems and symmetric generalized hybrid mappings
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Auxiliary principle technique for equilibrium problems
- The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces
- An example concerning fixed points
- The common fixed point theory of singlevalued mappings and multivalued mappings
- Gap functions for equilibrium problems
- Equilibrium problems and applications
- Generalized mixed equilibrium problems with generalized \(\alpha\)-\(\eta\)-monotone bifunction in topological vector spaces
- Extragradient methods and linesearch algorithms for solving Ky Fan inequalities and fixed point problems
- Existence and solution methods for equilibria
- An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings
- Halpern subgradient extragradient method extended to equilibrium problems
- A hybrid iterative scheme for equilibrium problems and fixed point problems of asymptotically \(k\)-strict pseudo-contractions
- Iterative Algorithms for Nonlinear Operators
- A subgradient-type method for the equilibrium problem over the fixed point set and its applications
- A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
- Convergence of an adaptive penalty scheme for finding constrained equilibria
- Hybrid Steepest Descent Method for Variational Inequality Problem over the Fixed Point Set of Certain Quasi-nonexpansive Mappings
- Iterative Algorithms for Equilibrium Problems
- Fixed Points by a New Iteration Method
- A hybrid extragradient method extended to fixed point problems and equilibrium 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 methods for nonsmooth equilibrium problems in Banach spaces
- Novel Hybrid Methods for Pseudomonotone Equilibrium Problems and Common Fixed Point Problems
- Extragradient algorithms extended to equilibrium problems¶
- Fixed points of nonexpanding maps
- Mean Value Methods in Iteration
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