On the perturbation theory of $m$-accretive operators in Banach spaces

DOI10.1090/S0002-9939-96-03349-7zbMath0857.47032OpenAlexW1540302630MaRDI QIDQ4890241

Athanassios G. Kartsatos

Publication date: 10 March 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03349-7

zbMATH Keywords

accretive operatordegree theoryhomotopycondensing mappings\(m\)-accretive operatorcompact perturbationcompact resolvent

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Degree theory for nonlinear operators (47H11) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items (5)

Approximating solution of \(0\in T(x)\) for an \(H\)-accretive operator in Banach spaces ⋮ New results in the perturbation theory of maximal monotone and $M$-accretive operators in Banach spaces ⋮ Remarks on perturbation theory of maximal monotone and \(m\)-accretive operators in Banach spaces ⋮ Zeros and mapping theorems for perturbations of \(m\)-accretive operators 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

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