Two-step inertial method for solving split common null point problem with multiple output sets in Hilbert spaces

Abstract

In this paper, an algorithm with two-step inertial extrapolation and self-adaptive step sizes is proposed to solve the split common null point problem with multiple output sets in Hilbert spaces. Weak convergence analysis are obtained under some easy to verify conditions on the iterative parameters in Hilbert spaces. Preliminary numerical tests are performed to support the theoretical analysis of our proposed algorithm.

Keywords

• hilbert space
• metric projection
• self-adaptive step size
• two-step inertial
• split common null point problem