Strong Convergence for the Split Feasibility Problem in Real Hilbert Space

Abstract

In this paper, we study the cyclic algorithm for the split common fixed point problem (SCFPP) and multiple set split feasibility problem (MSSFP). Furthermore we proved the strong convergence for the (SCFPP) and (MSSFP) which extend and improve the result of F. Wang and H.K. Xu [9] from a weak convergence to a strong convergence.

Keywords: Convex Feasibility, Split Feasibility, Split Common Fixed Point, Nonexpansive Mapping, Class –  operator, Iterative Algorithm  and Strong Convergence.