Weak sharp solutions of mixed variational inequalities in Banach spaces (Q1744625)

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scientific article; zbMATH DE number 6861697
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Weak sharp solutions of mixed variational inequalities in Banach spaces
scientific article; zbMATH DE number 6861697

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    Weak sharp solutions of mixed variational inequalities in Banach spaces (English)
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    19 April 2018
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    The purpose of this paper is to introduce the notion of weak sharpness for the solution of a Mixed Variational Inequality Problem (MVIP) in general Banach spaces, and to establish several characterizations of the weak sharpness, which extend the corresponding result in [\textit{Y. Liu} and \textit{Z. Wu}, ibid. 10, No. 3, 563--576 (2016; Zbl 1366.90199)] from variational inequality problem in \(R^n\) to (MVIP) in general Banach spaces.
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    variational inequalities
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    nonlinear operators
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    sensitivity
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    stability
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    monotone operators
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    ordinary differential operators
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