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Huanhuan Cui, Fenghui Wang, The split common fixed point problem with multiple output sets for strictly pseudo-contractive mappings

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DOI: 10.23952/jnva.7.2023.6.04

Volume 7, Issue 6, 1 December 2023, Pages 945-956

 

Abstract. In this paper, we investigate a split common fixed point problem with multiple output sets within a more general framework and we present a novel iterative method that boasts the advantage of the step size calculation that is independent of the norm of linear mappings. We prove the weak convergence of the method and the strong convergence of its variants under certain conditions. Furthermore, we apply our main results to the split feasibility problem with multiple output sets. Our numerical results indicate that our method is an effective approach to this problem.

 

How to Cite this Article:
H. Cui, F. Wang, The split common fixed point problem with multiple output sets for strictly pseudo-contractive mappings, J. Nonlinear Var. Anal. 7 (2023), 945-956.