An Iterative Algorithm for Split Common Fixed-Point Problem for Demicontractive Mappings

Yazheng Dang, Fanwen Meng () and Jie Sun ()
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Yazheng Dang: Henan Polytechnic University, College of Computer Science and Technology (Software College)
Fanwen Meng: National Healthcare Group
Jie Sun: Curtin University, Department of Mathematics and Statistics

Chapter Chapter 5 in Optimization Methods, Theory and Applications, 2015, pp 85-94 from Springer

Abstract: Abstract Inspired by the inertial proximal algorithms for finding a zero of a maximal monotone operator, we propose an inertial iteration algorithm for solving the split common fixed point problem for demicontractive mappings. We prove the asymptotical convergence of the algorithm under certain mild conditions. The results extend the result of Dang and Gao (Inverse Probl, 27:015007, 2011) and Moudafi (Inverse Probl 26:055007, 6pp, 2010. doi:10.1088/0266-5611/26/5/ 055007).

Keywords: Split common fixed point problem; Inertial technique; Demicontractive mapping; Asymptotical convergence (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-47044-2_5

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DOI: 10.1007/978-3-662-47044-2_5

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