A regular value of compact deformation

DOI10.1007/S10483-006-0914-ZzbMath1359.58007OpenAlexW1971893124MaRDI QIDQ940130

B. E. Eshmatov

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-006-0914-z

zbMATH Keywords

regular valuecompact mappingcontinuation methodsproper mappingFredholm mapping\(C ^{1}\)-homotopycontinuous dependence theoremsard-Smale theoremtopological complement

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems on manifolds (58C30) Fredholm structures on infinite-dimensional manifolds (58B15)

Related Items (2)

Compact embeddings and proper mappings ⋮ Continuous embeddings and continuation methods

Cites Work

• On the existence of zero points of a continuous function
• On the number of zeros of a mapping
• Numerical solution of nonlinear equations. Proceedings of a Symposium, held at the University of Bremen, July 21-25, 1980
• 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
• 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
• An Infinite Dimensional Version of Sard's Theorem
• Fredholm and compact mappings sharing a value
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