Results 61 to 70 of about 508 (181)
Multivalued Usco Functions and Stegall Spaces
Revista de Ciencias, 2018 In this article we consider the study of the -differentiability and -ifferentiability for convex functions, not only in the general context of topological vector spaces (), but also in the context of Banach spaces.
Diana Ximena Narváez
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Electronic Journal of Differential Equations, 2013 In this article, we study the existence of an infinite number of subharmonic periodic solutions to a class of second-order neutral nonlinear functional differential equations.
Xiao-Bao Shu, Yongzeng Lai, Fei Xu
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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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OPTIMIZATION OF DIFFERENTIAL INCLUSIONS OF PARABOLIC TYPE
Electrica, 2003 Sufficient conditions for optimality are derived for the problems under consideration on the basis of the apparatues of locally conjugate mappings.
E. N. MAHMUDOV
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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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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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Electronic Journal of Qualitative Theory of Differential Equations, 2005 We investigate the existence of local approximate and strong solutions for a time-dependent subdifferential evolution inclusion with a nonconvex upper-semicontinuous perturbation.
S. Guillaume, A. Syam
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Abstract and Applied Analysis, 2014 We mainly present several equivalent characterizations of the strong metric subregularity of the Mordukhovich subdifferential for an extended-real-valued lower semicontinuous, prox-regular, and subdifferentially continuous function acting on an Asplund ...
J. J. Wang, W. Song
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Abstract and Applied Analysis, 2013 We obtain a new Taylor's formula in terms of the order subdifferential of a function from to . As its applications in optimization problems, we build order sufficient optimality conditions of this kind of functions and order necessary conditions ...
He Qinghai, Zhang Binbin
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Almost periodic solutions of differential inclusions governed by subdifferentials
Electronic Journal of Differential Equations, 2016 Sufficient conditions are given to ensure the existence and eventually the uniqueness of bounded and almost periodic solutions of evolution equations governed by subdifferential operators.
Karim El Mufti
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