Abstract
For a variational inequality in a Banach space setting we show that Robinson’s strong regularity condition implies both local lipschitzian stability of solutions and robust local superlinear convergence of Newton’s method.
This research was supported by the National Science Foundation grants DMS 9500957 and DMS 9704912 for the second author.
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Dokov, S.P., Dontchev, A.L. (1998). Robinson’s Strong Regularity Implies Robust Local Convergence of Newton’s Method. In: Optimal Control. Applied Optimization, vol 15. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6095-8_6
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DOI: https://doi.org/10.1007/978-1-4757-6095-8_6
Publisher Name: Springer, Boston, MA
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