A General Iterative Algorithm with Strongly Positive Operators for Strict Pseudo-Contractions

Abstract

This paper deals with a new iterative algorithm $\{x_n\}$ with a strongly positive operator A for a k-strict pseudo-contraction T and a non-self-Lipschitzian mapping S in Hilbert spaces. Under certain appropriate conditions, the sequence $\{x_n\}$ converges strongly to a fixed point of T, which solves some variational inequality. The results here improve and extend some recent related results.