Hadamard well-posedness of a general mixed variational inequality in Banach space

Xiao-bo Li () and Fu-quan Xia ()

Journal of Global Optimization, 2013, vol. 56, issue 4, 1617-1629

Abstract: In this paper, we first introduce the concept of Hadamard well-posedness of a general mixed variational inequality in Banach space. Under some suitable conditions, relations between Levitin–Polyak well-posedness and Hadamard well-posedness of a general mixed variational inequality are studied. We also establish some characterizations of Hadamard well-posedness for a genaral mixed variational inequality. Finally, we derive some conditions under which a general mixed variational inequality is Hadamard well-posed. Copyright Springer Science+Business Media, LLC. 2013

Keywords: General mixed variational inequality; Levitin–Polyak well-posedness; Hadamard well-posedness; 49J40; 49K40; 90C31 (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10898-012-9916-1

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