Levitin-Polyak well-posedness of a generalized mixed variational inequality in Banach spaces |
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Authors: | Xiao-bo Li Fu-quan Xia |
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Affiliation: | Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan 610066, PR China |
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Abstract: | In this paper, we first introduce the concept of Levitin-Polyak well-posedness of a generalized mixed variational inequality in Banach spaces and establish some characterizations of its Levitin-Polyak well-posedness. Under suitable conditions, we prove that the Levitin-Polyak well-posedness of a generalized mixed variational inequality is equivalent to the Levitin-Polyak well-posedness of a corresponding inclusion problem and a corresponding fixed point problem. We also derive some conditions under which a generalized mixed variational inequality in Banach spaces is Levitin-Polyak well-posed. |
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Keywords: | 49J40 49K40 90C31 |
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