Open mappings theorems and linearization stability

DOI10.1080/01630568508816202zbMath0548.65045OpenAlexW1975483774MaRDI QIDQ3340051

Jean-Paul Penot

Publication date: 1985

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568508816202

zbMATH Keywords

Banach spacesFréchet differentiabilityHadamard differentiabilitysuperposition operatorstangent coneslinearizing

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Linear semi-openness and the Lyusternik theorem, Infinite products of relations, set-valued series and uniform openness of multifunctions, Optimality conditions in terms of Bouligand derivatives for Pareto efficiency in set-valued optimization, Directional openness for epigraphical mappings and optimality conditions for directional efficiency, A near subtraction result in metric spaces (the locally closed graph case), On metric regularity in metric spaces, Generalized tangent cone and an optimization problem in a normed space, Subtraction theorems and approximate openness for multifunctions: Topological and infinitesimal viewpoints, Convexity and openness with linear rate

Cites Work

• A general principle on ordered sets in nonlinear functional analysis
• On the variational principle
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• Generalized implicit function theorems when the derivative has no bounded inverse
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• Directionally Lipschitzian Functions and Subdifferential Calculus