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

School of Mathematics and Statistics

University of Strathclyde

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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.

Original language	English
Pages (from-to)	1-12
Number of pages	12
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	38
Issue number	1
DOIs	https://doi.org/10.1017/S0013091500006167
State	Published - Feb 1995

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

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.",

author = "Xu, \{Zong Ben\} and Jiang, \{Yao Lin\}",

year = "1995",

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T1 - A Further Necessary and Sufficient Condition for Strong Convergence of Nonlinear Contraction Semigroups and of Iterative Methods for Accretive Operators in Banach Spaces

AU - Xu, Zong Ben

AU - Jiang, Yao Lin

PY - 1995/2

Y1 - 1995/2

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.

UR - https://www.scopus.com/pages/publications/84973962324

U2 - 10.1017/S0013091500006167

DO - 10.1017/S0013091500006167

M3 - 文章

AN - SCOPUS:84973962324

SN - 0013-0915

VL - 38

SP - 1

EP - 12

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

IS - 1

ER -

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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