Strong Convergence of the Iterative Methods for Hierarchical Fixed Point Problems of an Infinite Family of Strictly Nonself Pseudocontractions

@inproceedings{Xu2014StrongCO,
title={Strong Convergence of the Iterative Methods for Hierarchical Fixed Point Problems of an Infinite Family of Strictly Nonself Pseudocontractions},
author={Wei Xu and Yuanheng Wang},
year={2014}
}

and Applied Analysis 3 Then the sequence {xn} generated by x0 x ∈ C, yn βnSxn ( 1 − βn ) xn, xn 1 PC [ αnf xn 1 − αn Tyn ] , ∀n ≥ 0, 1.8 converges strongly to a point of x∗ ∈ H, which is the unique solution of the variational inequality x∗ ∈ F T , 〈I − fx∗, x − x∗〉 ≥ 0, ∀x ∈ F T . 1.9 Motivated and inspired by the iterative schemes 1.7 and 1.8 , we introduce and study the hybrid iterative algorithm for solving some hierarchical fixed point problem of infinite family of strictly nonself… CONTINUE READING