Nonzero solutions of nonlinear equations involving compact perturbations of accretive operators in Banach spaces

DOI10.1016/0362-546X(94)00251-CzbMath0869.47033OpenAlexW2077334695MaRDI QIDQ4862158

Zouhua Ding, Athanassios G. Kartsatos

Publication date: 25 February 1996

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

Full work available at URL: https://doi.org/10.1016/0362-546x(94)00251-c

zbMATH Keywords

accretive operatorcompact perturbationsLeray-Schauder degree\(m\)-accretive operatorcontinuous single-valued inverse

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Equations involving nonlinear operators (general) (47J05) Degree theory for nonlinear operators (47H11)

Related Items (4)

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 ⋮ Topological degree theories and nonlinear operator equations 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fixed point theorems for mappings in ordered Banach spaces
• Positive eigenvectors of wedge maps
• Zeros of accretive operators
• Noncompact mappings and cones 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
• On Compact Perturbations and Compact Resolvents of Nonlinear m-Accretive Operators in Banach Spaces
• Degree of Mapping in Convex Linear Topological Spaces

This page was built for publication: Nonzero solutions of nonlinear equations involving compact perturbations of accretive operators in Banach spaces