Implicit function theorems for nondifferentiable mappings

DOI10.1007/s10957-006-9056-1zbMath1135.49015OpenAlexW2103900299MaRDI QIDQ2370039

Yanyan Li

Publication date: 21 June 2007

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eprints.soton.ac.uk/260497/1/fulltext.pdf

zbMATH Keywords

implicit function theoremsEkeland's variational principle\(\gamma\)-\(G\) inverse differentiability

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Derivatives of functions in infinite-dimensional spaces (46G05) Calculus of functions taking values in infinite-dimensional spaces (26E20) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Cites Work

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• An open mapping principle for set-valued maps
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• An implicit function theorem for directionally differentiable functions
• On locally-Lipschitz quasi-differentiate functions in Banach-spaces
• Mapping theorems for gateaux differentiable and accretive operators
• Constrained Open Mapping Theorems And Applications
• Open mappings and solvability of nonlinear equations in Banach space
• Solvability of nonlinear operator equations

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