Open AccessDegree of mapping for nonlinear mappings of monotone type: Densely defined mapping
Author(s) -
Felix E. Browder
Publication year - 1983
Publication title -
proceedings of the national academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.80.8.2405
Subject(s) - monotone polygon , degree (music) , mathematics , banach space , bounded function , pure mathematics , space (punctuation) , type (biology) , nonlinear system , function (biology) , discrete mathematics , monotonic function , function space , mathematical analysis , computer science , geometry , ecology , evolutionary biology , biology , operating system , acoustics , quantum mechanics , physics
The classical degree function constructed earlier for pseudomonotone mappings has been used to develop a broader degree theory of classical type for the sum of a maximal monotone map from a reflexive Banach space to its dual together with a bounded pseudomonotone map. The proof uses the generalized Yosida approximation of the maximal monotone mapping.
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