2015•FilomatOpen access

Extragradient algorithms for variational inequality, fixed point and generalized mixed equilibrium problems

Baohua Guo, Lijuan Sun

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Abstract

The purpose of this paper is to investigate variational inequalities, fixed point problems and generalized mixed equilibrium problems. Anextragradient iterative algorithm is investigated in the framework of Hilbert spaces. Weak convergence theorems for common solutions are established.

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What this paper is about

The purpose of this paper is to investigate variational inequalities, fixed point problems and generalized mixed equilibrium problems. Anextragradient iterative algorithm is investigated in the framework of Hilbert spaces. Weak convergence theorems for common solutions are established.

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Available abstract

The purpose of this paper is to investigate variational inequalities, fixed point problems and generalized mixed equilibrium problems. Anextragradient iterative algorithm is investigated in the framework of Hilbert spaces. Weak convergence theorems for common solutions are established.

Key concepts: Mathematics, Variational inequality, Hilbert space, Fixed point, Convergence (economics), Applied mathematics, Iterative method, Point (geometry)

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