Shrinking projection method for proximal split feasibility and fixed point problems

Abstract

In this paper, we consider and study proximal split feasibility and fixed point problem. For solving the problems, we introduce an iterative algorithm with shrinking projection technique. It is proven that the sequence generated by the proposed iterative algorithm converge strongly to the common solution of the proximal split feasibility and fixed point problems.

Keywords

• shrinking projection method
• proximal split feasibility problem
• fixed point problem
• k-strictly pseudo-contractive mapping
• strong convergence