Nonlinear equations involving compact perturbations of m-accretive operators in Banach spaces

DOI10.1016/0362-546X(94)00102-NzbMath0864.47030MaRDI QIDQ4842090

Athanassios G. Kartsatos, Xiao-Ping Liu

Publication date: 26 June 1997

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

zbMATH Keywords

accretive operatorresolventdegree theorycompact perturbation

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06) Functional-differential equations in abstract spaces (34K30)

Related Items

Extending the class of pre-assigned responses in problems of K-controllability in general banach spaces, On accretive operators in cones of Banach spaces, The generalized topological degree for multivalued compact perturbations of \(M\)-accretive operators and applications, Ishikawa iterative processes with mixed errors for nonlinear equations with perturbed \(m\)-accretive mappings in Banach spaces, On the connection between the existence of zeros and the asymptotic behavior of resolvents of maximal monotone operators in reflexive Banach spaces

Cites Work

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• Nonlinear equations involving m-accretive operators
• Controlling the space with preassigned responses
• The closedness property and the pseudo-A-properness of accretive operators
• The range of sums of accretive and monotone operators
• Zeros of m-accretive operators in Banach spaces
• Mapping theorems involving compact perturbations and compact resolvents of nonlinear operators in Banach spaces
• Some mapping theorems for accretive operators in Banach spaces
• Extension problems for accretive sets in Banach spaces
• Ranges of sums and control of nonlinear evolutions with preassigned responses
• Mapping theorems for compact perturbations of m-accretive operators
• Non-linear equations of evolution
• Accretive sets and differental equations in Banach spaces
• On the solvability of abstract operator equations involving compact perturbations of m-accretive operators
• On the convexity of the interior of the domain of an m-accretive operator in a Banach space
• Remarks on compact pertubations of m-accretive operators
• The generalized topological degree for the perturbations of m-accretive operators and its applications
• Some mapping theorems involving the perturbations of m-accretive operators
• On Compact Perturbations and Compact Resolvents of Nonlinear m-Accretive Operators in Banach Spaces
• Sets in the Ranges of Sums for Perturbations of Nonlinear m-Accretive Operators in Banach Spaces
• On the construction of methods of lines for functional evolutions in general Banach spaces
• Degree of Mapping in Convex Linear Topological Spaces