Results 71 to 80 of about 810 (214)
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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Conformal optimization of eigenvalues on surfaces with symmetries
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
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On Directionally Dependent Subdifferentials
, 2010 In this paper directionally contextual concepts of variational analysis, based on dual-space constructions similar to those in [4, 5], are introduced and studied. As an illustration of their usefulness, necessary and also sufficient optimality conditions
Mordukhovich, Boris S, Ginchev, Ivan
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Subdifferentials of convex matrix-valued functions
Subdifferentials (in the sense of convex analysis) of matrix-valued functions defined on $\mathbb{R}^d$ that are convex with respect to the Löwner partial order can have a complicated structure and might be very difficult to compute even in simple cases.
Dolgopolik, M. V.
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Maximal pseudomonotonicity of generalized subdifferentials of explicitly quasiconvex functions
Journal of Numerical Analysis and Approximation Theory, 1988 Not available.
Radu Precup
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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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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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Outer limit of subdifferentials and calmness moduli in linear and nonlinear programming [PDF]
, 2015 With a common background and motivation, the main contributions of this paper are developed in two different directions. Firstly, we are concerned with functions which are the maximum of a finite amount of continuously differentiable functions of n real ...
Henrion, René +4 more
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A THEOREM ON THE SUBDIFFERENTIAL CALCULATION
Demonstratio Mathematica, 1988 Let X, Y be Banach spaces, \(a\in Y\), \(\Lambda\in {\mathcal L}(X,Y)\), Im \(\Lambda\) closed in Y. Let F: \(Y\to \bar R\) be a proper convex function. If F is continuous in at least one point of Im \(\Lambda\) \(+a\), and \(G(x)=F(\Lambda x+a)\), then we prove that \(\partial G(x)=\Lambda^*F(\Lambda x+a)\), where \(\Lambda^*\) is the conjugate of ...
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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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