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Article
An algorithm for quasiconvex equilibrium problems and asymptotically nonexpansive map**s: application to a Walras model with implicit supply–demand
We propose a normal subgradient projection algorithm for approximating a solution of equilibrium problems involving quasiconvex para-pseudomonotone bifunctions, which is also a fixed point of an asymptotically...
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Article
Extragradient Algorithms with Linesearches for Solving Nonmonotone Equilibrium Problems in Banach Spaces
In this paper, we introduce a new extragradient algorithm with linesearches for solving equilibrium problems in a real Banach space where the bifunction is not required to satisfy any monotone property. Under ...
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Article
A modified Solodov-Svaiter method for solving nonmonotone variational inequality problems
In a very interesting paper (SIAM J. Control Optim. 37(3): 765–776, 1999), Solodov and Svaiter introduced an effective projection algorithm with linesearch for finding a solution of a variational inequality probl...
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Article
Error Bounds of Regularized Gap Functions for Polynomial Variational Inequalities
This paper is devoted to presenting new error bounds of regularized gap functions for polynomial variational inequalities with exponents explicitly determined by the dimension of the underlying space and the n...
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Article
A note on the combination of equilibrium problems
We show that the solution set of a strictly convex combination of equilibrium problems is not necessarily contained in the corresponding intersection of solution sets of equilibrium problems even if the bifunc...
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Chapter and Conference Paper
A Design of a Vestibular Disorder Evaluation System
Currently, vestibular disorders are quite common in Vietnam. However, methods to diagnose the vestibular disorder in patients are only qualitative, which are based on experiences and observations of doctors. T...
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Article
Open AccessExtragradient subgradient methods for solving bilevel equilibrium problems
In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions involving pseudomonotone and Lip...
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Article
Parallel extragradient algorithms for multiple set split equilibrium problems in Hilbert spaces
In this paper, we introduce an extension of multiple set split variational inequality problem (Censor et al. Numer. Algor. 59, 301–323 2012) to multiple set split equilibrium problem (MSSEP) and propose two new p...
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Article
Extragradient-Proximal Methods for Split Equilibrium and Fixed Point Problems in Hilbert Spaces
In this paper, we propose two new extragradient-proximal algorithms for solving split equilibrium and fixed point problems (SEFPP) in real Hilbert spaces, in which the first equilibrium bifunction is pseudomon...
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Article
Extragradient algorithms for equilibrium problems and symmetric generalized hybrid map**s
In this paper, we propose new algorithms for finding a common point of the solution set of a pseudomonotone equilibrium problem and the set of fixed points of a symmetric generalized hybrid map** in a real H...
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Article
Open AccessLinesearch algorithms for split equilibrium problems and nonexpansive map**s
In this paper, we first propose a weak convergence algorithm, called the linesearch algorithm, for solving a split equilibrium problem and nonexpansive map** (SEPNM) in real Hilbert spaces, in which the firs...
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Article
Algorithms for a class of bilevel programs involving pseudomonotone variational inequalities
We propose algorithms for finding the projection of a given point onto the solution set of the pseudomonotone variational inequality problem. This problem arises in the Tikhonov regularization method for pseud...
