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Weak sharp solutions of mixed variational inequalities in Banach spaces. (English) Zbl 1391.49013

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 [Y. Liu and 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.

MSC:

49J40 Variational inequalities
49J27 Existence theories for problems in abstract spaces
47J20 Variational and other types of inequalities involving nonlinear operators (general)
90C31 Sensitivity, stability, parametric optimization
47E05 General theory of ordinary differential operators
62P30 Applications of statistics in engineering and industry; control charts

Citations:

Zbl 1366.90199
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References:

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