Iterative approximation of split feasibility problem in real Hilbert spaces

Abstract

In this paper, we propose an iterative algorithm for finding solution of split feasibilty problem involving a λ-strictly pseudo-nonspreading map and  asymptotically nonexpansive semigroups in two real Hilbert spaces. We prove weak and strong convergence theorems using the sequence obtained  from the proposed algorithm. Finally, we applied our result to solve a monotone inclusion problem and present a numerical example to support our result.