Well-posedness for a Class of Variational–Hemivariational Inequalities with Perturbations

Yi-bin Xiao () and Nan-jing Huang ()
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Yi-bin Xiao: University of Electronic Science and Technology of China
Nan-jing Huang: Sichuan University

Journal of Optimization Theory and Applications, 2011, vol. 151, issue 1, No 3, 33-51

Abstract: Abstract In this paper, we consider an extension of well-posedness for a minimization problem to a class of variational–hemivariational inequalities with perturbations. We establish some metric characterizations for the well-posed variational–hemivariational inequality and give some conditions under which the variational–hemivariational inequality is strongly well-posed in the generalized sense. Under some mild conditions, we also prove the equivalence between the well-posedness of variational–hemivariational inequality and the well-posedness of corresponding inclusion problem.

Keywords: Variational–hemivariational inequality; Well-posedness; Clarke’s generalized gradient; Approximating sequence; Inclusion problem (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10957-011-9872-9

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