Compact embeddings and proper mappings

DOI10.1016/j.na.2010.03.037zbMath1213.47063OpenAlexW1966473477MaRDI QIDQ984054

J. Martínez

Publication date: 13 July 2010

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.2010.03.037

zbMATH Keywords

fixed pointcompact embedding\(C^1\)-homotopycoercive mapping

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Fixed-point theorems (47H10)

Cites Work

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• On the existence of zero points of a continuous function
• A lower bound of stable stationary trajectories
• A regular value of compact deformation
• Continuous embeddings and continuation methods
• On the number of zeros of a mapping
• Existence of zeros for bounded perturbations of proper mappings
• Extremum points of a convex function
• Mappings sharing a value on finite-dimensional spaces
• Open trajectories.
• A compactness condition.
• Applied functional analysis. Main principles and their applications
• On the existence of zero points
• Global minimum point of a convex function
• Existence and computation of zeros of perturbed mappings
• Continuation methods in Banach manifolds
• 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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