A multi-step inertial asynchronous sequential algorithm for common fixed point problems
Journal of Nonlinear and Variational Analysis · 2024
In this paper, we introduce a multi-step inertial asynchronous sequential (MIAS) algorithm for common fixed point problems of nonexpansive operators and establish the weak convergence of the proposed algorithm.The unconditional convergence of a one-step inertial algorithm is also obtained.The application to linear systems is presented by combining Kaczmarz method.Finally, a numerical example for CT problems illustrates the efficiency of our algorithm.