Hadamard's theorem for locally Lipschitzian maps
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Publication:1163662
DOI10.1016/0022-247X(82)90038-5zbMath0484.26009OpenAlexW2024717660MaRDI QIDQ1163662
Publication date: 1982
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(82)90038-5
Continuity and differentiation questions (26B05) Implicit function theorems, Jacobians, transformations with several variables (26B10) Special properties of functions of several variables, Hölder conditions, etc. (26B35)
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Cites Work
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- Univalence and degree for Lipschitz continuous maps
- On the inverse function theorem
- Analysis and optimization of Lipschitz continuous mappings
- A minimal set-valued strong derivative for vector-valued Lipschitz functions
- Interior mapping theorem with set-valued derivatives
- Refinements of necessary optimality conditions in nondifferentiable programming. I
- Calcul sous-différentiel et optimisation
- Necessary conditions without differentiability assumptions in optimal control
- Homeomorphisms Between Banach Spaces
- Generalized Gradients and Applications
- On optimality conditions in nondifferentiable programming
- Optimization of lipschitz continuous functions
- A New Approach to Lagrange Multipliers
- Tangent Cones, Generalized Gradients and Mathematical Programming in Banach Spaces
