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Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations
- Publisher
- Springer Journals
- Copyright
- Copyright © The Author(s), under exclusive licence to Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2022
- ISSN
- 0126-6705
- eISSN
- 2180-4206
- DOI
- 10.1007/s40840-022-01283-3
- Publisher site
- See Article on Publisher Site
Abstract
In this work, we introduce a new algorithm for finding the minimum-norm solution of the multiple-sets split variational inequality problem in real Hilbert spaces. The strong convergence of the iterative sequence generated by the algorithm method is established under the condition that the mappings are monotone and Lipschitz continuous. We apply our main result to study the minimum-norm solution of the multiple-sets split feasibility problem and the split variational inequality problem. Finally, a numerical example is given to illustrate the proposed algorithm.
Journal
Bulletin of the Malaysian Mathematical Sciences Society – Springer Journals
Published: Jul 1, 2022
Keywords: Multiple-sets split variational inequality problem; Minimum-norm solution; Strong convergence; Multiple-sets split feasibility problem; 49M37; 90C26; 65K15