Inertial iteration for split common fixed-point problem for quasi-nonexpansive operators
Summary: Inspired by the note on split common fixed-point problem for quasi-nonexpansive operators presented by \textit{A. Moudafi} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4083--4087 (2011; Zbl 1232.49017)], based on the very recent work by the authors and \textit{Y.-L. Han} [J. Appl. Math. 2012, Article ID 207323, 10 p. (2012; Zbl 1256.65052)], in this paper, we propose an inertial iterative algorithm for solving the split common fixed-point problem for quasi-nonexpansive operators in the Hilbert space. We also prove the asymptotical convergence of the algorithm under some suitable conditions. The results improve and develop previously discussed feasibility problems and related algorithms.
scientific article; zbMATH DE number 6306785
scientific article