A compactness condition.

DOI10.1016/S0096-3003(00)00114-4zbMath1036.26006OpenAlexW2107450782MaRDI QIDQ1855105

Yanyan Li

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(00)00114-4

zbMATH Keywords

differentiable mappingisomorphismBanach fixed-point theoremcontinuation methodszero point\(k\)-contractive mappingtopological direct sum\(C^1\)-homotopy

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items (5)

A regular value of compact deformation ⋮ Existence and computation of zeros of perturbed mappings ⋮ Compact embeddings and proper mappings ⋮ Continuous embeddings and continuation methods ⋮ A second zero of a function.

Cites Work

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• On the number of zeros of a mapping
• Existence of zeros for bounded perturbations of proper mappings
• Extremum points of a convex function
• Applied functional analysis. Main principles and their applications
• On the existence of zero points
• Global minimum point of a convex function
• 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

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