Extensions of generalized differential calculus in Asplund spaces
, 2002 We develop an extended generalized differential calculus for normal cones to nonconvex sets, coderivatives of set-valued mappings, and subdifferential of extended-real-valued functions in infinite dimensions.
Wang, Bingwu, Mordukhovich, Boris S.
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Fine Properties of Geodesics and Geodesic λ-Convexity for the Hellinger-Kantorovich Distance. [PDF]
Arch Ration Mech Anal, 2023 Liero M, Mielke A, Savaré G.
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Proximal calculus on Riemannian manifolds
, 2005 We introduce a proximal subdifferential and develop a calculus for nonsmooth functions defined on any Riemannian manifold M. We give some applications of this theory, concerning, for instance, a Borwein-Preiss type variational principle on a Riemannian ...
Ferrera Cuesta, Juan +1 more
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On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction. [PDF]
Comput Optim Appl, 2023 Gfrerer H +3 more
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Minimum capital requirement and portfolio allocation for non-life insurance: a semiparametric model with Conditional Value-at-Risk (CVaR) constraint. [PDF]
Comput Manag Sci, 2023 Staino A +3 more
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The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities. [PDF]
Calc Var Partial Differ Equ, 2023 Sodini GE.
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Hiriart-Urruty–Phelps-Like Formula for the Subdifferential of Integral Sums
, 2018 International audienceWe provide subdifferential calculus rules for continuous sums parametrized in measurable spaces that use the approximate subdifferentials of the data functions. As in Hiriart-Urruty and Phelps (J. Funct. Anal.
A. Jourani +3 more
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Second-Order Subdifferential Calculus With Applications to Tilt Stability in Optimization
, 2011 The paper concerns the second-order generalized differentiation theory of variational analysis and new applications of this theory to some problems of constrained optimization in finitedimensional spaces. The main attention is paid to the so-called (full
Mordukhovich, Boris S +3 more
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Subdifferential Calculus for the Value Function in Nonconvex Dynamic Optimization in Banach Spaces
, 2011 This paper explores nonsmooth analysis for infinite-horizon dynamic programming in discrete time without convexity assumptions, exploiting Clarke subdifferentials for locally Lipschitz functions defined on Banach spaces.
SAGARA Nobusumi
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Structural Changes in Nonlocal Denoising Models Arising Through Bi-Level Parameter Learning. [PDF]
Appl Math Optim, 2023 Davoli E +3 more
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