A general hybrid relaxed CQ algorithm for solving the fixed-point problem and split-feasibility problem

Abstract

In this paper, we introduce a new hybrid relaxed iterative algorithm with two half-spaces to solve the fixed-point problem and split-feasibility problem involving demicontractive mappings. The strong convergence of the iterative sequence produced by our algorithm is proved under certain weak conditions. We give several numerical experiments to demonstrate the efficiency of the proposed iterative method in comparison with previous algorithms.

Keywords

• inertial iterative method
• demicontractive mapping
• fixed point
• hybrid cq method
• split-feasibility problem