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Gap functions for vector variational inequalities
C. Charitha, , C.S. Lalitha
Published in Taylor and Francis Ltd.
2015
Volume: 64
   
Issue: 7
Pages: 1499 - 1520
Abstract
In this article, we intend to study several scalar-valued gap functions for Stampacchia and Minty-type vector variational inequalities. We first introduce gap functions based on a scalarization technique and then develop a gap function without any scalarizing parameter. We then develop its regularized version and under mild conditions develop an error bound for vector variational inequalities with strongly monotone data. Further, we introduce the notion of a partial gap function which satisfies all, but one of the properties of the usual gap function. However, the partial gap function is convex and we provide upper and lower estimates of its directional derivative. © 2014, © 2014 Taylor & Francis.
About the journal
JournalData powered by TypesetOptimization
PublisherData powered by TypesetTaylor and Francis Ltd.
ISSN02331934