Approximations of nondifferentiable functions and local topological equivalence.
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Publication:1856948
DOI10.1016/S0022-247X(02)00421-3zbMath1053.49011OpenAlexW2010978418MaRDI QIDQ1856948
Publication date: 11 February 2003
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00421-3
directional derivativeslocal approximationcontingently epidifferentiable functionsdirectionally Lipschitzian functionsnoncontingently epidifferentiable functions
Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Set-valued and function-space-valued mappings on manifolds (58C06)
Related Items (4)
Optimality conditions for a nonconvex set-valued optimization problem ⋮ Local topological equivalence of nonsmooth functions in Hilbert spaces ⋮ Optimality conditions for set-valued maps with set optimization ⋮ Set-relations and optimality conditions in set-valued maps
Cites Work
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- Homeomorphisms and generalized derivatives
- Global invertibility of nonsmooth mappings
- Hadamard's theorem for locally Lipschitzian maps
- Structural analysis of nonsmooth mappings, inverse functions, and metric projections
- On concepts of directional differentiability
- Geometric mean value theorems for the Dini derivative
- Local structure of feasible sets in nonlinear programming, Part III: Stability and sensitivity
- Nonsmooth Calculus in Finite Dimensions
- On linearization and continuous selections of functions
- Generalized Directional Derivatives and Subgradients of Nonconvex Functions
- Various definitions of the derivative in mathematical programming
- Qualitative aspects of the local approximation of a piecewise differentiable function
- Dini derivatives in optimization — Part I
- Set-valued analysis
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