Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spaces

Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spaces

Various eigenvalue and range results are given for perturbations of m-accretive and maximal monotone operators. The eigenvalue results improve and extend some recent results by Guan and Kartsatos, while the range theorem gives an affirmative answer to a recent problem of Kartsatos.

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Bibliographic Details
Main Authors: Zhou Haiyun, Athanassios G. Kartsatos
Format: Article
Language:English
Published: Wiley 1997-01-01
Series:Abstract and Applied Analysis
Subjects:
Maximal monotone operator
m-accretive operator
compact perturbation
Leray-Schauder degree theory
cone
eigenvalue problem
compact resolvent
Kartsatos' degree theory.
Online Access:http://dx.doi.org/10.1155/S1085337597000341
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Summary:Various eigenvalue and range results are given for perturbations of m-accretive and maximal monotone operators. The eigenvalue results improve and extend some recent results by Guan and Kartsatos, while the range theorem gives an affirmative answer to a recent problem of Kartsatos.
ISSN:1085-3375

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