The generalized degree for compact perturbations of m-accretive operators and applications

DOI10.1016/0362-546X(89)90046-1zbMath0692.47044MaRDI QIDQ3034417

Yong-Zhuo Chen

Publication date: 1989

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

topological degreecompact operatorm-accretive operatorsolvability of operator equations

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Equations involving nonlinear operators (general) (47J05) Degree, winding number (55M25)

Related Items (8)

The generalized topological degree for the perturbations of m-accretive operators and its applications ⋮ The generalized degree for 1-set contraction mapping perturbation of m-accretive operator and applications ⋮ On the perturbation theory of $m$-accretive operators in Banach spaces ⋮ Remarks on perturbation theory of maximal monotone and \(m\)-accretive operators in Banach spaces ⋮ On accretive operators in cones of Banach spaces ⋮ The generalized topological degree for multivalued compact perturbations of \(M\)-accretive operators and applications ⋮ Positive periodic solutions of parabolic evolution problems: a translation along trajectories approach ⋮ Constrained topological degree and positive solutions of fully nonlinear boundary value problems

Cites Work

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• Surjectivity results for compact perturbations of M-accretive operators
• Mapping theorems involving compact perturbations and compact resolvents of nonlinear operators in Banach spaces
• Some surjectivity theorems for compact perturbations of accretive operators
• Nonlinear equations of evolution and nonlinear accretive operators in Banach spaces

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