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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On perturbations of M-accretive operators
in Banach spaces


Authors: Norimichi Hirano and A. K. Kalinde
Journal: Proc. Amer. Math. Soc. 124 (1996), 1183-1190
MSC (1991): Primary 47H17; Secondary 47H05, 47B07, 47H10
MathSciNet review: 1301029
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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, we consider the solvability of nonlinear equations of the form

\begin{displaymath}Au+Cu\ni p \end{displaymath}

where $A$ is an m-accretive operator on a Banach space $X$, $C$ is a mapping on $X$ and $p\in X$.


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Additional Information

Norimichi Hirano
Affiliation: Department of Mathematics, Faculty of Engineering, Yokohama National Univesity, Tokiwadai, Hodogayaku, Yokohama, Japan
Email: hirano@math.sci.ynu.ac.jp

A. K. Kalinde
Affiliation: Faculty of Sciences, University of Fort Hare, P/Bag X1314 Alice 5700, Republic of Ciskei, South Africa

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03140-1
PII: S 0002-9939(96)03140-1
Keywords: Perturbations of m-accretive operators, compact resolvent, condensing mapping
Received by editor(s): May 17, 1994
Received by editor(s) in revised form: October 10, 1994
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1996 American Mathematical Society