Results 81 to 90 of about 1,032 (207)
Subdifferential of the Cost Function
Journal of Mathematical Analysis and Applications, 1994 \textit{R. T. Rockafellar} [Nonlinear Anal., Theory, Methods Appl. 3, 145- 154 (1979; Zbl 0443.26010)] has proved the relation (a certain inclusion) between the subdifferential of the cost function and the Ioffe normal cone of the production set. The author studies the Lipschitz and differential properties of the cost function and gives assumptions to ...
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A Subdifferential Condition for Calmness of Multifunctions
Journal of Mathematical Analysis and Applications, 2001 A criterion for the calmness of a class of multifunctions between finite-dimensional spaces is derived in terms of subdifferential concepts developed by Mordukhovich. The considered class comprises general constraint set mappings as they occur in optimization or mappings associated with a certain type of variational systems.
Henrion, René, Outrata, Jiří
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Integration of Subdifferentials of Lower Semicontinuous Functions on Banach Spaces
, 1995 This paper studies the lower semicontinuous functions ƒ on Banach spaces whose subdifferentials are not disassociated from ƒ. Several conditions are given to ensure that two lower semicontinuous functions with the same subdifferential are equal up to an ...
Zagrodny, D., Thibault, L.
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, 2022 We investigate inexact proximity operators for weakly convex functions. To this aim we derive sum rules for proximal ε-subdifferentials, by incorporatingthe moduli of weak convexity of the functions into the respective formulas.
Scrivanti, Gabriele +3 more
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Submonotone subdifferentials of Lipschitz functions
, 1981 The class of "lowwer- C 1 {C^1} " functions, that is functions which arise by taking the maximum of a compactly indexed family of C 1 {C^1 ...
Jonathan E. Spingarn
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Generalized weak subdifferentials
, 2011 WOS: 000290982600001In this article, generalized weak subgradient (gw-subgradient) and generalized weak subdifferential (gw-subdifferential) are defined for nonconvex functions with values in an ordered vector space.
Mahide Küçük +5 more
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Generalized
Journal of Inequalities and Applications, 2009 New concepts of generalized invex functions for non-differentiable functions and generalized invariant monotone operators for set-valued mappings are introduced.
Yang Xinmin, Liu Caiping
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Characterization of the monotone polar of subdifferentials
, 2013 4 pagesInternational audienceWe show that a point is solution of the Minty variational inequality of subdifferential type for a given function if and only if the function is increasing along rays starting from that point. This provides a characterization
Lassonde, Marc
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Existence Results for Nonconvex Nonautonomous Differential Inclusions in Hilbert Spaces
MathematicsWe establish a solvability criterion for nonautonomous time-evolution inclusions governed by the right-hand side without the convexity assumption. In this study, we examine the problem x˙(t)∈F(t,x(t))a.e.onI0:=[0,T0], for some T0>0, where F has a closed ...
Messaoud Bounkhel
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New duality results for evenly convex optimization problems. [PDF]
Optimization, 2021 Fajardo MD, Grad SM, Vidal J.
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