Degree of mapping for nonlinear mappings of monotone type: Densely defined mapping

DOI10.1073/pnas.80.8.2405zbMath0533.47052OpenAlexW2023276122WikidataQ37609708 ScholiaQ37609708MaRDI QIDQ3316069

Felix E. Browder

Publication date: 1983

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.80.8.2405

zbMATH Keywords

Yosida approximationpseudomonotone mappingsduality mapbounded pseudomonotone mapdegree for \((S)_+\) mappingsmaximal monotone multivalued mapZFM 533.47051

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Equations involving nonlinear operators (general) (47J05) Degree, winding number (55M25)

Related Items (12)

Topological degree for a class of operators and applications ⋮ Topological degree for \((S)_{+}\)-mappings with maximal monotone perturbations and its applications to variational inequalities ⋮ On the topological degree for mappings of monotone type ⋮ A degree theory for compact perturbations of monotone type operators and application to nonlinear parabolic problem ⋮ A Browder degree theory from the Nagumo degree on the Hilbert space of elliptic super-regularization ⋮ A new topological degree theory for pseudomonotone perturbations of the sum of two maximal monotone operators and applications ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ A new topological degree theory for perturbations of demicontinuous operators and applications to nonlinear equations with nonmonotone nonlinearities ⋮ Degree theory for multivalued (S) type mappings and fixed point theorems ⋮ A topological degree theory for perturbed \(\mathcal{A}_G(S_+)\)-operators and applications to nonlinear problems ⋮ On the homotopy property of topological degree for maximal monotone mappings ⋮ The Leray-Schauder approach to the degree theory for \((S_+)\)-perturbations of maximal monotone operators in separable reflexive Banach spaces

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