A new topological degree theory for densely defined \((S_+)_L\)-perturbations of multivalued maximal monotone operators in reflexive separable Banach spaces

DOI10.1016/j.na.2007.08.017zbMath1158.47045OpenAlexW1549419072MaRDI QIDQ949657

Athanassios G. Kartsatos, Joseph Quarcoo

Publication date: 21 October 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.08.017

zbMATH Keywords

maximal monotone operatorstopological degreemultivalued operatorsexistence of zerosKartsatos-Skrypnik degree theorydensely defined \((S_{+})_L\)-perturbations

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Set-valued operators (47H04) Degree theory for nonlinear operators (47H11) Perturbations of nonlinear operators (47H14)

Related Items (12)

Eigenvalue for densely defined \((S_+)_L\) perturbations of multivalued maximal monotone operators in reflexive Banach spaces ⋮ A Browder degree theory from the Nagumo degree on the Hilbert space of elliptic super-regularization ⋮ Unnamed Item ⋮ Strongly quasibounded maximal monotone perturbations for the Berkovits--Mustonen topological degree theory ⋮ The degree theory for set-valued compact perturbation of monotone-type mappings with an application ⋮ Eigenvalues of quasibounded maximal monotone operators ⋮ A new topological degree theory for perturbations of the sum of two maximal monotone operators ⋮ Invariance of domain and eigenvalues for perturbations of densely defined linear maximal monotone operators ⋮ On the homotopy property of topological degree for maximal monotone mappings ⋮ Variational inequalities for perturbations of maximal monotone operators in reflexive Banach spaces ⋮ The Leray-Schauder approach to the degree theory for \((S_+)\)-perturbations of maximal monotone operators in separable reflexive Banach spaces ⋮ A note on the degree for maximal monotone mappings in finite dimensional spaces

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