A convergence theorem for the Newton-like methods under some kind of weak Lipschitz conditions |
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| Authors: | Min Wu |
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| Affiliation: | Department of Mathematics, Zhejiang University, 310027 Hangzhou, Zhejiang, People's Republic of China |
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| Abstract: | We provide sufficient conditions for the convergence of the Newton-like methods in the assumption that the derivative satisfies some kind of weak Lipschitz conditions. Consequently, some important convergence theorems follow from our main result in this paper. |
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| Keywords: | Banach space Newton-like methods Inexact Newton methods Weak Lipschitz condition |
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