Abstract
AbstractIn 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.
Funder
European Union's Horizon 2020 Research and Innovation Programme under the Marie Sk lodowska-Curie grant agreement
National Science Center of Poland under Preludium Project
Natural Science Foundation of Guangxi under Grant
Publisher
Springer Science and Business Media LLC
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