Global bifurcation for generalized \(k\)-set contractions

DOI10.1016/j.na.2007.03.016zbMath1146.47038OpenAlexW2030626874MaRDI QIDQ2483384

Sunghui Kwon, In-Sook Kim

Publication date: 28 April 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.2007.03.016

zbMATH Keywords

multiplicitydegreeglobal bifurcationnonlinear eigenvalue problemsbifurcation pointindex formulacharacteristic valuecountable \(k\)-set contractionscontractive operatorsWhyburn's lemma

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Degree theory for nonlinear operators (47H11) Linear operators defined by compactness properties (47B07) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Abstract bifurcation theory involving nonlinear operators (47J15) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Cites Work

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