Strong Convergence Algorithms for Hierarchical Fixed Points Problems and Variational Inequalities

الملخص EN

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.