Remarks on perturbation theory of maximal monotone and \(m\)-accretive operators in Banach spaces

DOI10.1016/j.jmaa.2003.11.030zbMath1063.47058OpenAlexW1996007582MaRDI QIDQ1433357

Jing Lin

Publication date: 15 June 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.11.030

zbMATH Keywords

Banach spacesmaximal monotone operatorsperturbation\(m\)-accretive operatorshomotopycompact resolvent

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Perturbations of nonlinear operators (47H14)

Cites Work

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• On the solvability in Hilbert space of certain nonlinear operator equations depending on parameters
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• Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spaces
• The generalized degree for compact perturbations of m-accretive operators and applications
• Solvability of Semilinear Equations with Compact Perturbations of Operators of Monotone Type
• Existence of solutions by the gaierkin method for a class of nonlinear problems
• Ranges of Perturbed Maximal Monotone and m-Accretive Operators in Banach Spaces
• On perturbations of M-accretive operators in Banach spaces
• New results in the perturbation theory of maximal monotone and $M$-accretive operators in Banach spaces
• On the perturbation theory of $m$-accretive operators in Banach spaces

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