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

作者：Petrusel, Adrian^*; Yao, Jen Chih

来源：Central European Journal of Mathematics, 2009, 7(2): 335-347.

DOI：10.2478/s11533-009-0003-x

• Modified extragradient method
• Viscosity approximation method
• Fixed point
• alpha-inverse-strongly-monotone mapping
• Nonexpansive mapping
• Variational inequalities

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 alpha-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.

• 出版日期2009-6
• 单位中山大学