Continuous embeddings and continuation methods

DOI10.1016/J.NA.2008.08.015zbMath1176.58005OpenAlexW1978245774MaRDI QIDQ1015848

J. Martínez

Publication date: 30 April 2009

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.2008.08.015

zbMATH Keywords

fixed pointcompact mappingcontinuation methodsproper mappingsurjective implicit function theoremcoercive mapping\(C^{1}\)-homotopy

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Fixed-point theorems on manifolds (58C30)

Related Items (6)

Operators that are weakly coercive and a compact perturbation ⋮ Continuation methods and condensing mappings ⋮ Compact perturbations of a strongly positive operator ⋮ Weakly coercive mappings sharing a value ⋮ Compact embeddings and proper mappings ⋮ Compact perturbations of a linear homeomorphism

Cites Work

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• The Homotopy Continuation Method: Numerically Implementable Topological Procedures
• On the Number of Solutions to Polynomial Systems of Equations
• Determining All Solutions to Certain Systems of Nonlinear Equations
• Fredholm and compact mappings sharing a value

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