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