论文信息 - Strong Convergence Algorithms for Hierarchical Fixed Points Problems and Variational Inequalities

Strong Convergence Algorithms for Hierarchical Fixed Points Problems and Variational Inequalities

We introduce a new iterative scheme that converges strongly to a common fixed point of a countable family of nonexpansive mappings in a Hilbert space such that the common fixed point is a solution of a hierarchical fixed point problem. Our results extend the ones of Moudafi, Xu, Cianciaruso et al., and Yao et al.

[1] Abdellatif Moudafi,et al. Krasnoselski–Mann iteration for hierarchical fixed-point problems , 2007 .

[2] Giuseppe Marino,et al. Explicit Hierarchical Fixed Point Approach to Variational Inequalities , 2011, J. Optim. Theory Appl..

[3] Giuseppe Marino,et al. A general iterative method for nonexpansive mappings in Hilbert spaces , 2006 .

[4] Yeol Je Cho,et al. Iterative algorithms for hierarchical fixed points problems and variational inequalities , 2010, Math. Comput. Model..

[5] P. Maingé. Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces , 2007 .

[6] W. A. Kirk,et al. Topics in Metric Fixed Point Theory , 1990 .

[7] S. Atsushiba. VISCOSITY APPROXIMATION METHODS FOR FIXED POINTS PROBLEMS , 2011 .

[8] Paul-Emile Maingé,et al. Strong convergence of an iterative method for hierarchical fixed point problems , 2007 .

[9] Giuseppe Marino,et al. On a Two-Step Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities , 2009 .

[10] Hong-Kun Xu. VISCOSITY APPROXIMATION METHODS FOR NONEXPANSIVE MAPPINGS , 2004 .