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Stable pseudomonotone variational inequality in reflexive Banach spaces
Authors:Yiran He
Affiliation:Department of Mathematics, Sichuan Normal University, Chengdu, Sichuan 610068, China
Abstract: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.
Keywords:Variational inequality   Barrier cone   Pseudomonotone mappings   Stability
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