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An extragradient iterative scheme by viscosity approximation methods for fixed point problems and variational inequality problems

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Petruşel A., Yao J.-C.

Open Mathematics

2009

tom 7

nr 2

335-347

In this paper, we introduce a new iterative process for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problem for an α-inverse-strongly-monotone, by combining an modified extragradient scheme with the viscosity approximation method. We prove a strong convergence theorem for the sequences generated by this new iterative process.

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1 Open Mathematics

1 Petruşel A.

1 Yao J.-C.

1 2009

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An extragradient iterative scheme by viscosity approximation methods for fixed point problems and variational inequality problems