Halpern projection methods for solving pseudomonotone multivalued variational inequalities in Hilbert spaces
type: Item
instance of: scholarly article
title: Halpern projection methods for solving pseudomonotone multivalued variational inequalities in Hilbert spaces
zbMATH Open document ID: 1489.65093
author: P. N. Anh
author: T. V. Thang
author: H. T. C. Thach
published in: Numerical Algorithms
publication date: 2021-04-27T00:00:00Z
review text: 2104This paper proposes two new projection algorithms for solving multivalued variational inequalities in real Hilbert spaces. They proved that the proposed algorithms are strongly convergent under the assumption of the pseudomonotonicity and Lipschitz continuity of cost mappings. The main advantage of the proposed algorithms is that the metric projections onto the feasible set used in the current algorithms at each iteration are replaced by approximate projection or proximal operators. Finally, they provide a new and interesting example for the multivalued cost mapping and show its pseudomonotone and Lipschitz continuous properties. They perform some numerical experiments to illustrate the behavior of the proposed algorithms.
reviewed by: Bing Tan
Mathematics Subject Classification ID: 65K15
Mathematics Subject Classification ID: 47J20
zbMATH DE Number: 7340127
zbMATH Keywords: multivalued variational inequalities
zbMATH Keywords: Lipschitz continuous
zbMATH Keywords: pseudomonotone
zbMATH Keywords: approximate projection method
zbMATH Keywords: proximal operator
MaRDI profile type: Publication
full work available at URL: s11075-020-00968-9
OpenAlex ID: W3040552915
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DOI: 10.1007/S11075-020-00968-9
description: scientific article; zbMATH DE number 7340127