A Further Necessary and Sufficient Condition for Strong Convergence of Nonlinear Contraction Semigroups and of Iterative Methods for Accretive Operators in Banach Spaces

Zong Ben Xu; Yao Lin Jiang

doi:10.1017/S0013091500006167

A Further Necessary and Sufficient Condition for Strong Convergence of Nonlinear Contraction Semigroups and of Iterative Methods for Accretive Operators in Banach Spaces

数学与统计学院

University of Strathclyde

科研成果: 期刊稿件 › 文章 › 同行评审

14 引用（Scopus）

摘要

Let A be a quasi-accretive operator defined in a uniformly smooth Banach space. We present a necessary and sufficient condition for the strong convergence of the semigroups generated by — A and of the steepest descent methods to a zero of A.

源语言	英语
页（从-至）	1-12
页数	12
期刊	Proceedings of the Edinburgh Mathematical Society
卷	38
期	1
DOI	https://doi.org/10.1017/S0013091500006167
出版状态	已出版 - 2月 1995

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abstract = "Let A be a quasi-accretive operator defined in a uniformly smooth Banach space. We present a necessary and sufficient condition for the strong convergence of the semigroups generated by — A and of the steepest descent methods to a zero of A.",

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N2 - Let A be a quasi-accretive operator defined in a uniformly smooth Banach space. We present a necessary and sufficient condition for the strong convergence of the semigroups generated by — A and of the steepest descent methods to a zero of A.

AB - Let A be a quasi-accretive operator defined in a uniformly smooth Banach space. We present a necessary and sufficient condition for the strong convergence of the semigroups generated by — A and of the steepest descent methods to a zero of A.

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DO - 10.1017/S0013091500006167

M3 - 文章

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A Further Necessary and Sufficient Condition for Strong Convergence of Nonlinear Contraction Semigroups and of Iterative Methods for Accretive Operators in Banach Spaces

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