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A Two-Step Extragradient-Viscosity Method for Variational Inequalities and Fixed Point Problems
Dang Van Hieu
,
Dang Xuan Son
,
Pham Ky Anh
,
Le Dung Muu
Abstract
This paper develops a two-step extragradient-viscosity method for finding a common solution to a variational inequality problem and a fixed point problem in a Hilbert space. Combining the two-step extragradient algorithm and the viscosity one, we propose a strongly convergent method, which contains as special cases some existing algorithms. Several numerical experiments are implemented to demonstrate the performance of the proposed method in comparison with classical hybrid extragradient-like algorithms.