A Viscosity Iterative Method with Alternated Inertial Terms for Solving the Split Feasibility Problem

Lulu Liu (), Qiao-Li Dong (), Shen Wang () and Michael Th. Rassias ()
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Lulu Liu: Civil Aviation University of China
Qiao-Li Dong: Civil Aviation University of China
Shen Wang: Tianjin Foreign Studies University
Michael Th. Rassias: Hellenic Military Academy

A chapter in High-Dimensional Optimization and Probability, 2022, pp 359-372 from Springer

Abstract: Abstract In this paper, we propose a viscosity iterative algorithm with alternated inertial extrapolation step to solve the split feasibility problem, where the self-adaptive stepsize is used. Under appropriate conditions, the proposed algorithm is proved to converge to a solution of the split feasibility problem, which is also the unique solution of a variational inequality problem. Finally, we demonstrate the effectiveness of the algorithm by a numerical example.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-00832-0_11

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DOI: 10.1007/978-3-031-00832-0_11

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