Gap functions and error bounds for variational-hemivariational inequalities

Bibliographic description

punktacja MEiN [2020]: 70

title:	Gap functions and error bounds for variational-hemivariational inequalities
author:	Hung Nguyen Van, Migórski Stanisław , Tam Vo Minh, Zeng Shengda
journal title:	Acta Applicandae Mathematicae
volume:	169
date of publication :	2020
pages:	691-709
ISSN:	0167-8019
eISSN:	1572-9036
DOI:	10.1007/s10440-020-00319-9
language:	English
journal language:	English
abstract in English:	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.
keywords in English:	variational-hemivariational inequality, gap function, global error bound, semipermeability problem
affiliation:	Wydział Matematyki i Informatyki, Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
type:	journal article
subtype:	academic paper