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

Authors:
Xiao-Bo Li;Fu-Quan Xia
Affiliations:
Department of Mathematics, Sichuan Normal University, Chengdu, People's Republic of China 610068;Department of Mathematics, Sichuan Normal University, Chengdu, People's Republic of China 610068
Venue:
Journal of Global Optimization
Year:
2013

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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.