We study the Kantorovich convergence for parameter-based methods for solving nonlinear operator equations in Banach spaces. We also derive a closed form of error bounds in terms of a real parameter alpha is an element of [0, 1]. (C) Elsevier Science Inc., 1997.
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Peking Univ, LMAM, Beijing 100871, Peoples R China
Peking Univ, Sch Math Sci, Beijing 100871, Peoples R ChinaPeking Univ, LMAM, Beijing 100871, Peoples R China
Wu, Jinbiao
Lee, Young-Ju
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Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USAPeking Univ, LMAM, Beijing 100871, Peoples R China
Lee, Young-Ju
Xu, Jinchao
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Peking Univ, LMAM, Beijing 100871, Peoples R China
Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Penn State Univ, Dept Math, University Pk, PA 16802 USAPeking Univ, LMAM, Beijing 100871, Peoples R China
Xu, Jinchao
Zikatanov, Ludmil
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Penn State Univ, Dept Math, University Pk, PA 16802 USAPeking Univ, LMAM, Beijing 100871, Peoples R China