The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 13 Issue 4 Serial No. 34
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- Pages.261-267
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- 2006
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
LOCAL CONVERGENCE OF NEWTON'S METHOD FOR PERTURBED GENERALIZED EQUATIONS
- Argyros Ioannis K. (DEPARTMENT OF MATHEMATICAL SCIENCES, CAMERON UNIVERSITY)
- Published : 2006.11.30
Abstract
A local convergence analysis of Newton's method for perturbed generalized equations is provided in a Banach space setting. Using center Lipschitzian conditions which are actually needed instead of Lipschitzian hypotheses on the
Keywords
- Newton's method;
- Banach space;
- generalized equation with perturbation;
- $Fr\'{e}chet$ derivative;
- center-Lipschitz;
- Lipschitz condition;
- local convergence;
- variational inequalities