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Gap Functions and Error Bounds for Variational–Hemivariational Inequalities by Nguyen Van Hung; Stanislaw Migórski; Vo Minh Tam; Shengda Zeng is a Mathematics article available to read on EtoBox.

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## Abstract In this paper we investigate the gap functions and regularized gap functions for a class of variational–hemivariational inequalities of elliptic type. First, based on regularized gap functions introduced by Yamashita and Fukushima, we establish some regularized gap functions for the variational–hemivariational inequalities. Then, the global error bounds for such inequalities in terms of regularized gap functions are derived by using the properties of the Clarke generalized gradient. Finally, an application to a stationary nonsmooth semipermeability problem is given to illustrate our main results.

Who reads Gap Functions and Error Bounds for Variational–Hemivariational Inequalities?

Author

Nguyen Van Hung; Stanislaw Migórski; Vo Minh Tam; Shengda Zeng

Publisher

Springer Netherlands; Springer-Verlag; Springer Science and Business Media LLC; Society for Mining, Metallurgy and Exploration Inc. (ISSN 0167-8019)

Published

2020

Language

EN

Field

Mathematics (Physical Sciences)