A Cyclic Algorithm for the Split Common Fixed Point Problem of Demicontractive Mappings in Hilbert Spaces

Abstract

The split common fixed point problem has been investigated recently, which is a generalization of the split feasibility problem and of the convex feasibility problem. We construct a cyclic algorithm to approximate a solution of the split common fixed point problem for the demicontractive mappings in a Hilbert space. Our results improve and extend previously discussed related problems and algorithms.

Keywords:

• split feasibility problem
• demicontractive mappings
• common fixed point

AMS Subject Classification:

• 49J53
• 65K10