On differentiability and surjectivity of \(\alpha\)-Lipschitz mappings

DOI10.1007/BF02417098zbMath0297.47058MaRDI QIDQ1214128

Alfonso Vignoli, Jacobo Pejsachowicz

Publication date: 1974

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)

Related Items

Some spectral theory for nonlinear operators ⋮ Condensing operators ⋮ Coincidence degree and solvability of some nonlinear functional equations in normed spaces: a spectral approach ⋮ On surjectivity for nonlinear maps in Banach spaces ⋮ Nonlinear Hilbert adjoints: properties and applications to Hankel singular value analysis ⋮ Some spectral theory for nonlinear operators

Cites Work

• Remarks on condensing and \(k\)-set-contractive mappings
• The fixed point index and asymptotic fixed point theorems for $k$-set-contractions
• The radius of the essential spectrum
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