Extragradient Method
Hybrid extragradient method for generalized mixed equilibrium problems and fixed point problems in Hilbert space
... the extragradient method for finding the common element of the set of fixed points of nonexpansive mappings and the set of solutions of a variational inequality problem for a k-inverse strongly monotone ...
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A modified subgradient extragradient method for solving monotone variational inequalities
... subgradient extragradient method is proposed for solving Lipschitz-continuous and monotone variational inequalities defined on a level set of a convex ...our method has O( 1 n ) convergence ...
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The Hybrid Extragradient Method for the Split Feasibility and Fixed Point Problems
... hybrid extragradient method for finding a common element of the set of fixed point sets of an infinite family of nonexpansive mappings and the solution set of the split feasibility problem (SFP) in real ...
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Finding Common Solutions of a Variational Inequality, a General System of Variational Inequalities, and a Fixed-Point Problem via a Hybrid Extragradient Method
... Based on the relaxed extragradient method and viscosity approximation method, Yao et al. 30 proposed and analyzed an iterative algorithm for finding a common element of the solution set of the ...
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A New Approximation Scheme Combining the Viscosity Method with Extragradient Method for Mixed Equilibrium Problems
... the extragradient iterative process introduced by Korpelevich was successfully generalized and extended not only in Euclidean but also in Hilbert and Banach spaces; see, for example, the recent papers of He et ...
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An Extragradient Method for Fixed Point Problems and Variational Inequality Problems
... an extragradient method for fixed point problems and variational inequal- ity ...this method, we can find the common element of the set of fixed points of a nonexpansive mapping and the set of ...
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An Extragradient Method for Mixed Equilibrium Problems and Fixed Point Problems
... The purpose of this paper is to investigate the problem of approximating a common element of the set of fixed points of a demicontractive mapping and the set of solutions of a mixed equilibrium problem. First, we propose ...
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Hybrid extragradient method for hierarchical variational inequalities
... hybrid extragradient algorithm for finding a solution of the HVIP ...Korpelevich’s extragradient method, the viscosity approximation method, the hybrid steepest-descent method [], and ...
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A unified extragradient method for systems of hierarchical variational inequalities in a Hilbert space
... extragradient method. The literature on the VIP is vast and Korpelevich’s extragradient method has received great attention given by many authors, who improved it in various ways; see, ...
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Extragradient method for convex minimization problem
... extragradient method. The literature on the VIP is vast and Korpelevich’s extragradient method has received great attention given by many authors, who improved it in various ways; see ...
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An Implicit Extragradient Method for Hierarchical Variational Inequalities
... numerical method, the extragradient method solves numerically the variational inequality VIC, A of finding u ∈ C such that Au, v−u ≥ 0, for all v ∈ ...implicit extragradient method for ...
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A new extragradient method for generalized variational inequality in Euclidean space
... In this paper, inspired by the work in [], we propose a new type of extragradient pro- jection method for the problem GVI. We first establish the existence results for the GVI under pseudomonotonicity and ...
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A Hybrid Extragradient Method for Solving Ky Fan Inequalities, Variational Inequalities and Fixed Point Problems
... hybrid extragradient iterative method for finding a common element of the set of points satisfying the Ky Fan inequalities, variational inequality and the set of fixed points of a strict pseudocontraction ...
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Strong convergence of extragradient method for generalized variational inequalities in Hilbert space
... The generalized variational inequalities find application in economics and transporta- tion equilibrium, engineering sciences, etc. and have received much attention in the past decades [–]. It is well known that the ...
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Weak convergence theorem for variational inequality problems with monotone mapping in Hilbert space
... the extragradient method, we introduce an iterative method for finding an element of the set of solutions of a variational inequality problem for a monotone and Lipschitz continuous mapping in Hilbert ...
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An extragradient-like approximation method for variational inequalities and fixed point problems
... s extragradient method [6], Nadezh- kina and Takahashi [7] introduced an iterative scheme, called extragradient method, for finding an element of F(S) ∩ Ω and established the weak convergence ...
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Composite inertial subgradient extragradient methods for variational inequalities and fixed point problems
... Korpelevich’s extragradient method, which is projection-based, has received great at- tention given by many researchers working on nonlinear programming, who improved it in various ways; see, ...tragradient ...
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Strong convergence of iterative algorithms with variable coefficients for generalized equilibrium problems, variational inequality problems and fixed point problems
... relaxed extragradient method for finding a common element of the set of solutions of a generalized equilibrium problem, the set of solutions of the variational inequality problem for an inverse-strongly ...
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Strong convergence of iterative algorithms with variable coefficients for asymptotically strict pseudocontractive mappings in the intermediate sense and monotone mappings
... s extragradient method [5] with Takahashi- Toyoda ’ s iterative algorithm [6], Nadezhkina and Takahashi [7] introduced the follow- ing iterative scheme for finding a common element of F(S) ∩ Ω , the ...
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Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications
... In this paper, we establish a new iterative algorithm by combining Nadezhkina and Takahashi’s modified extragradient method and Xu’s algorithm. The mentioned iterative algorithm presents the common solution ...
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