VISCOSITY APPROXIMATION METHOD FOR THE SPLIT COMMON FIXED POINT PROBLEM OF QUASI-STRICT PSEUDO-CONTRACTIONS WITHOUT PRIOR KNOWLEDGE OF OPERATOR NORMS

Abstract

In this paper, we will continue to consider the SCFP governed by the general class of quasi-strict pseudo-contractions in Hilbert space. We introduce a viscosity iterative algorithm with a way of selecting the stepsizes such that the implementation of the algorithm does not need any prior information about the operator norms. We prove the strong convergence of the algorithm.