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An explicit subgradient extragradient algorithm with self-adaptive stepsize for pseudomonotone equilibrium problems in Banach spaces
In this paper, we introduce an explicit subgradient extragradient algorithm for solving equilibrium problem with a bifunction satisfying...
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A new approach to the Korpelevich method for solving pseudomonotone equilibrium problems
The Korpelevich method is an algorithm which is used to find solutions to equilibrium problems. These problems are mathematical models which are used...
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A second-order dynamical system for equilibrium problems
We consider a second-order dynamical system for solving equilibrium problems in Hilbert spaces. Under mild conditions, we prove existence and...
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Projection extragradient algorithms for solving nonmonotone and non-Lipschitzian equilibrium problems in Hilbert spaces
We present two projection extragradient algorithms for solving equilibrium problems without monotonicity and Lipschitz-type property in Hilbert...
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A quasi-Newton type method for equilibrium problems
In this work, we develop a quasi-Newton-type method for equilibrium problems based on the proximal Newton-type structure given in Santos et al....
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New inertial algorithm for a class of equilibrium problems
The article introduces a new algorithm for solving a class of equilibrium problems involving strongly pseudomonotone bifunctions with a...
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Subgradient projection methods extended to monotone bilevel equilibrium problems in Hilbert spaces
In this paper, by basing on the inexact subgradient and projection methods presented by Santos et al. (Comput. Appl. Math. 30: 91–107,
2011 ), we... -
Retraction algorithms for solving variational inequalities, pseudomonotone equilibrium problems, and fixed-point problems in Banach spaces
In this paper, using sunny generalized nonexpansive retractions which are different from the metric projection and generalized metric projection in...
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Convergence analysis of a new algorithm for strongly pseudomontone equilibrium problems
The paper introduces and analyzes the convergence of a new iterative algorithm for approximating solutions of equilibrium problems involving strongly...
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Modified basic projection methods for a class of equilibrium problems
Projection methods are a popular class of methods for solving equilibrium problems. In this paper, we propose approximate one projection methods for...
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Splitting extragradient-like algorithms for strongly pseudomonotone equilibrium problems
In this paper, two splitting extragradient-like algorithms for solving strongly pseudomonotone equilibrium problems given by a sum of two bifunctions...
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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... -
Split common fixed point problems for demicontractive operators
In this paper, first, we introduce a new iterative algorithm involving demicontractive map**s in Hilbert spaces and, second, we prove some strong...
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Hybrid iterative method for split monotone variational inclusion problem and hierarchical fixed point problem for a finite family of nonexpansive map**s
In this paper, we propose a hybrid iterative method to approximate a common solution of split monotone variational inclusion problem and hierarchical...
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Krasnoselski-Mann type iterative method for hierarchical fixed point problem and split mixed equilibrium problem
In this paper, we suggest and analyze a Krasnoselski-Mann type iterative method to approximate a common element of solution sets of a hierarchical...
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Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive map**s
In this paper we propose and analyze three parallel hybrid extragradient methods for finding a common element of the set of solutions of equilibrium...