DOI: 10.24193/fpt-ro.2025.1.20

Authors: Fenghui Wang

Abstract: In this paper, we focus on the split common fixed point problem for hemicontractive mappings. We introduce two novel iterative methods for this problem and demonstrate their weak convergence under certain mild conditions. Our methods, in comparison to existing methods, offer a larger range of stepsize parameters, thereby enhancing the method's efficiency.

Key Words and Phrases: Split feasibility problem, demiclosedness principle, hemicontractive mapping.

2010 Mathematics Subject Classification: 47J25, 47J20, 49N45, 65J15.

Published on-line: February 1st, 2025.

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