The Equivalence of Several Basic Theorems for Subdifferentials
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- Type
- article
- Published
- 1998-06-01
- Cited by
- 56
- References
- 23
- OpenAlex
- https://openalex.org/W20559199
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:115631536
Keywords
Mathematics, Equivalence (formal languages), Fuzzy logic, Pure mathematics, Computer science
References
- A limiting example for the local “fuzzy” sum rule in nonsmooth analysis
- Convex Functions, Monotone Operators and Differentiability
- Nonsmooth sequential analysis in Asplund spaces
- Maximum principle in the problem of time optimal response with nonsmooth constraints PMM vol. 40, n≗ 6, 1976, pp. 1014-1023
- Extremal characterizations of asplund spaces
- Nonsmooth analysis and control theory
- A smooth variational principle with applications to subdifferentiability and to differentiability of convex functions
- Proximal analysis in smooth spaces
- Smooth variational principles with constraints
- The Euler and Weierstrass conditions for nonsmooth variational problems
- Calculus of Dini subdifferentials of functions and contingent coderivatives of set-valued maps
- Proximal Analysis and Approximate Subdifferentials
- Fréchet differentiability of convex functions
- Partially smooth variational principles and applications
- ON SUBDIFFERENTIABILITY SPACES
- Mean value inequalities in Hilbert space
- Nonconvex differential calculus for infinite-dimensional multifunctions
- Viscosity Solutions and Viscosity Subderivatives in Smooth Banach Spaces with Applications to Metric Regularity
- Generalized Differential Calculus for Nonsmooth and Set-Valued Mappings
- Proximal Subgradients, Marginal Values, and Augmented Lagrangians in Nonconvex Optimization
Cited by
- Fuzzy Principles and Characterization of Trustworthiness
- Implicit Multifunction Theorems
- A SHORT PROOF OF THE SEPARABLE REDUCTION THEOREM
- A linear extremal principle
- The fuzzy intersection rule in variational analysis with applications
- Global Weak Sharp Minima on Banach Spaces
- Paraconvex functions and paraconvex sets
- Metric regularity and subdifferential calculus
- On the approximate solutions of constrained inverse Lipschitz function problems and inverse function theorems
- Variational analysis of extended generalized equations via coderivative calculus in Asplund spaces
- A survey of subdifferential calculus with applications
- Necessary Conditions for Constrained Optimization Problems in Smooth Banach Spaces and Applications
- Variational Methods in Convex Analysis
- Fréchet quasidifferential calculus with applications to metric regularity of continuous maps
- First-order rules for nonsmooth constrained optimization
- Separable reduction revisited
- Variational pairs and applications to stability in nonsmooth analysis
- Generalized Hessians of C1, 1-Functions and Second-Order Viscosity Subjets
- An Extended Extremal Principle with Applications to Multiobjective Optimization
- Nonsmooth analysis on smooth manifolds
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