A general iterative method with some control conditions for k-strictly pseudo-contractive mappings
In this paper, we consider a general iterative scheme for finding fixed points of k-strictly pseudo-contractive mappings for some 0 <= k < 1 in Hilbert spaces. Then, under weaker control conditions than previous ones, we establish strong convergence of the sequence generated by proposed scheme to a fixed point of the mapping, which is a solution of a certain variational inequality. The main results substantially improve and develop the previous well-known results in this area.
k-strictly pseudo-contractive mapping iterative schemes fixed points hilbert space variational inequality nonexpansive mapping contraction weakly asymptotically regular strongly positive linear operator