An inertial iterative algorithm with strong convergence for solving modified split feasibility problem in Banach spaces
type: Item
instance of: scholarly article
title: An inertial iterative algorithm with strong convergence for solving modified split feasibility problem in Banach spaces
zbMATH Open document ID: 1481.47091
DOI: 10.1155/2021/9974351
author: Huijuan Jia
author: Shufen Liu
author: Yazheng Dang
published in: Journal of Mathematics
publication date: 2021-06-28T00:00:00Z
review text: Summary: In this paper, we propose an iterative scheme for a special split feasibility problem with the maximal monotone operator and fixed-point problem in Banach spaces. The algorithm implements Halpern's iteration with an inertial technique for the problem. Under some mild assumption of the monotonicity of the related mapping, we establish the strong convergence of the sequence generated by the algorithm which does not require the spectral radius of \(A^TA\). Finally, the numerical example is presented to demonstrate the efficiency of the algorithm.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H05
zbMATH DE Number: 7363847
zbMATH Keywords: split feasibility problem
zbMATH Keywords: maximal monotone operator
zbMATH Keywords: Banach spaces
zbMATH Keywords: Halpern iteration
zbMATH Keywords: strong convergence
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/9974351
OpenAlex ID: W3163333849
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description: scientific article; zbMATH DE number 7363847