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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

Published online by Cambridge University Press:  20 January 2009

Zong-Ben Xu ,
Yao-Lin Jiang  and
G. F. Roach
Zong-Ben Xu
Affiliation:
Institute for Computational and Applied MathematicsXi'an Jiaotong UniversityXi'an, China
Yao-Lin Jiang
Affiliation:
Institute for Computational and Applied MathematicsXi'an Jiaotong UniversityXi'an, China
G. F. Roach
Affiliation:
Department of MathematicsUniversity of StrathclydeGlasgow, Scotland
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Abstract

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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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 38 , Issue 1 , February 1995 , pp. 1 - 12
Copyright
Copyright © Edinburgh Mathematical Society 1995

References

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