Journal of Nonlinear and Variational Analysis

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DOI: 10.23952/jnva.5.2021.1.04

Volume 5, Issue 1, 1 February 2021, Pages 43-57

 

Abstract. In this paper, we study the split common fixed-point problem of quasi-nonexpansive operators in Hilbert space. We establish a weak convergence theorem of the proposed iterative algorithm, which combines the primal-dual method and the inertial method. In our algorithm, the step sizes are chosen self-adaptively so that the implementation of the algorithm does not need any prior information about bounded linear operator norms. Finally, numerical results are included to illustrate the efficiency of the proposed algorithm.

 

How to Cite this Article:
J. Zhao, Y. Li, A new inertial self-adaptive algorithm for split common fixed-point problems, J. Nonlinear Var. Anal. 5 (2021), 43-57.