Helping you finding an appropriate regularization process
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Publication:1639964
DOI10.1007/s10013-018-0293-zzbMath1393.49011OpenAlexW2801192337MaRDI QIDQ1639964
Jean-Paul Penot, Huynh Van Ngai
Publication date: 13 June 2018
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10013-018-0293-z
nonsmooth analysisdifferentiabilityregularizationconvolutionsubdifferentialinfimal convolutioncompensated convexity
Nonsmooth analysis (49J52) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Continuous and differentiable maps in nonlinear functional analysis (46T20)
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- Subdifferentiation of regularized functions
- Analysis. From concepts to applications
- Moreau envelopes of \(s\)-lower regular functions
- Approximation and regularization of arbitrary functions in Hilbert spaces by the Lasry-Lions method
- Semiconcave functions, Hamilton-Jacobi equations, and optimal control
- Uniform prox-regularity of functions and epigraphs in Hilbert spaces
- Approximately convex functions and approximately monotonic operators
- Compensated convexity and its applications
- Smooth approximations
- Functional analysis, Sobolev spaces and partial differential equations
- A remark on regularization in Hilbert spaces
- Approximation and decomposition properties of some classes of locally d.c. functions
- Towards minimal assumptions for the infimal convolution regularization
- Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
- Geometry of Banach spaces. Selected topics
- Approximation of Lipschitz functions by \(\Delta\)-convex functions in Banach spaces
- Proximal mappings
- Approximation and regularisation of arbitrary sets in finite dimension
- Prox-regular functions in Hilbert spaces
- Integration of subdifferentials of lower semicontinuous functions on Banach spaces
- Differential properties of the Moreau envelope
- Integration of primal lower nice functions in Hilbert spaces
- Techniques of variational analysis
- Fréchet differentiability of convex functions
- On the Yosida approximation of operators
- Epi-convergent Smoothing with Applications to Convex Composite Functions
- Calculus Without Derivatives
- Smoothing and First Order Methods: A Unified Framework
- Prox-regular sets and epigraphs in uniformly convex Banach spaces: Various regularities and other properties
- Strong and Weak Convexity of Sets and Functions
- Functional Analysis, Calculus of Variations and Optimal Control
- Compensated Convexity, Multiscale Medial Axis Maps and Sharp Regularity of the Squared-Distance Function
- The Proximal Normal Formula in Banach Space
- Integration of subdifferentials of nonconvex functions
- An Extension of Attouch's Theorem and Its Application to Second-Order Epi-Differentiation of Convexly Composite Functions
- Euler-Lagrange and Hamiltonian formalisms in dynamic optimization
- Practical Aspects of the Moreau--Yosida Regularization: Theoretical Preliminaries
- On regularization in superreflexive Banach spaces by infimal convolution formulas
- On the coincidence of some subdifferentials in the class of α(.)-paraconvex functions
- Variational Analysis and Generalized Differentiation I
- Partial Extensions of Attouch's Theorem with Applications to Proto- Derivatives of Subgradient Mappings
- Nonsmooth sequential analysis in Asplund spaces
- On various semiconvex relaxations of the squared-distance function
- Subdifferential characterization ofs-lower regular functions
- ENVELOPES FOR SETS AND FUNCTIONS: REGULARIZATION AND GENERALIZED CONJUGACY
- Paraconvex functions and paraconvex sets
- Regularization by erasement
- Set-valued analysis
