논문KCI 등재
Local Convergence of Newton's Method for Perturbed Generalized Equations
한국수학교육학회|2006.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제13권 제4호|pp. 261-267
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Abstract
A local convergence analysis of Newton’s method for perturbed gener-alized equations is provided in a Banach space seting. Usin g center Lipschitzianconditions which are actualy neded instead of Lipschitzi an hypotheses on theFr´echet-derivative of the operator involved and more precise stimates under lescomputational cost we provide a ner convergence analysis of Newton’s methodthan before [5][7].
관련 논문AI추천
Local convergence of Newton-like methods for generalized equationsIoannis K. Argyros영남수학회 · East Asian Mathematical Journal2009 · 제25권 제4호Convergence of the Newton Method for Aubin Continuous MapsIoannis K. Argyros영남수학회 · East Asian Mathematical Journal2009 · 제25권 제2호On the convergence of Newton's method for set valued maps under weak conditionsIoannis K. Argyros강원경기수학회 · 한국수학논문집2012 · 제20권 제1호On solvability and Algorithm of General Strongly Nonlinear Variational-like Inequalities강신민, 심수학, Juhe Sun, Zeqing Liu대한수학회 · 대한수학회보2006 · 제43권 제2호On the Generalized Set-Valued Mixed Variational InequalitiesShin Min Kang, Yali Zhao, Zeqing Liu대한수학회 · 대한수학회논문집2003 · 제18권 제3호Vector Variational Inequality Problems with Generalized $C(x)$-$L$-pseudomonotone Set-valued Mappings강미광, Byung-Soo Lee한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제2호
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