Gap functions and global error bounds for set-valued variational inequalities
type: Item
instance of: scholarly article
title: Gap functions and global error bounds for set-valued variational inequalities
zbMATH Open document ID: 1204.65079
author: Xiaoguo Wang
author: Jiang-hua Fan
published in: Journal of Computational and Applied Mathematics
publication date: 2010-03-04T00:00:00Z
review text: The authors introduce some gap functions for set-valued variational inequality problems under suitable assumptions. By using theses gap functions they derive global error bounds for the solution of the set-valued variational inequality problems. Their results generalize the previously known results for classical variational inequalities from the single-valued case to the set-valued and at the same time they present a way to construct gap functions and derive global error bounds for set-valued variational inequality problems. The paper is a careful and well-written account of certain aspects of variational inequality problems. Current research in the problem is discussed and further outlines of investigation are suggested.
reviewed by: Akrur Behera
Mathematics Subject Classification ID: 65K15
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 5677340
zbMATH Keywords: set-valued variational inequality problem
zbMATH Keywords: gap functions
zbMATH Keywords: global error bounds
zbMATH Keywords: unconstrained optimization problem
MaRDI profile type: Publication
full work available at URL: j.cam.2009.11.041
OpenAlex ID: W2003522014
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DOI: 10.1016/J.CAM.2009.11.041
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description: scientific article; zbMATH DE number 5677340