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Fang, Ya-Ping; Hu, Rong

Parametric well-posedness for variational inequalities defined by bifunctions. (English) Zbl 1168.49307

Comput. Math. Appl. 53, No. 8, 1306-1316 (2007).
Summary: We introduce the concepts of parametric well-posedness for Stampacchia and Minty variational inequalities defined by bifunctions. We establish some metric characterizations of parametric well-posedness. Under suitable conditions, we prove that the parametric well-posedness is equivalent to the existence and uniqueness of solutions to these variational inequalities.

Cited in 39 Documents

MSC:

49K40 Sensitivity, stability, well-posedness
49J40 Variational inequalities
90C31 Sensitivity, stability, parametric optimization

Keywords:

variational inequalities; Minty variational inequalities; parametric well-posedness; metric characterizations; bifunctions
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\textit{Y.-P. Fang} and \textit{R. Hu}, Comput. Math. Appl. 53, No. 8, 1306--1316 (2007; Zbl 1168.49307)
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