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Zbl 1124.49005
He, Yiran
Stable pseudomonotone variational inequality in reflexive Banach spaces. (English)
[J] J. Math. Anal. Appl. 330, No. 1, 352-363 (2007). ISSN 0022-247X

Summary: Stability of a generalized variational inequality with either the mapping or the set perturbed is discussed in reflexive Banach spaces, provided that the mappings are pseudomonotone in the sense of Karamardian. As a byproduct, generalized variational inequality having nonempty and bounded set is proved to be equivalent to the strictly feasibility.
MSC 2000:
*49J40 Variational methods including variational inequalities
49K40 Sensitivity of optimal solutions in the presence of perturbations

Keywords: variational inequality; barrier cone; pseudomonotone mappings; stability

Cited in: Zbl 1218.49032

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