A general iterative algorithm for generalized split feasibility and fixed point problems

Abstract

In this paper, we introduce a general iterative algorithm based on the hybrid steepest descent method for finding a common element of the solution set of generalized split feasibility problem and the fixed point set of a continuous pseudocontractive mapping. We establish the strong convergence of the proposed iterative algorithm and find a minimum-norm element in the common set of the two sets in a Hilbert space.