Strong Convergence of the Iterative Methods for Hierarchical Fixed Point Problems of an Infinite Family of Strictly Nonself Pseudocontractions
Wei Xu, Yuanheng Wang · Abstract and Applied Analysis · 2012
This paper deals with a new iterative algorithm for solving hierarchical fixed point problems of an infinite family of pseudocontractions in Hilbert spaces by yn = βnSxn + (1 − βn)xn, , and ∀n ≥ 0, where Ti : C ↦ H is a nonself ki‐strictly pseudocontraction. Under certain approximate conditions, the sequence {xn} converges strongly to , which solves some variational inequality. The results here improve and extend some recent results.