Results 101 to 110 of about 216 (132)
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Coderivatives and the Solution Map of a Linear Constraint System
SIAM Journal on Optimization, 2016Summary: The Lipschitz-like property and the metric regularity in the sense of Robinson of the solution map of a parametric linear constraint system are investigated thoroughly by means of normal coderivative, the Mordukhovich criterion, and a related theorem due to \textit{A. B. Levy} and \textit{B. S. Mordukhovich} [Math. Program. 99, No. 2 (A), 311--
Duong Thi Kim Huyen, Nguyen Dong Yen
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Coderivations, abelian extensions and cohomology of Lie coalgebras
Communications in Algebra, 2021For any Lie coalgebra with a Lie comodule, a cohomology is constructed by using a subcomplex of the Chevalley–Eilenberg cochain complex of the dual Lie algebra. It is shown that the first (resp.
Lei Du, Youjun Tan
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Coderivative Analysis of Variational Systems
Journal of Global Optimization, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bornological Coderivative and Subdifferential Calculus in Smooth Banach Spaces
Set-Valued and Variational Analysis, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Mau Nam +2 more
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2012
Let C (resp. A) be a coalgebra (resp. algebra) over a commutative ring R and M (resp. N) a C-bicomodule (resp. an A-bimodule). We define a dual notion of a generalized derivation from A to N in the sense of the paper On categorical properties of generalized derivations, Sci. Math., 2(3) (1999), 345-352, by A.
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Let C (resp. A) be a coalgebra (resp. algebra) over a commutative ring R and M (resp. N) a C-bicomodule (resp. an A-bimodule). We define a dual notion of a generalized derivation from A to N in the sense of the paper On categorical properties of generalized derivations, Sci. Math., 2(3) (1999), 345-352, by A.
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Fréchet and normal coderivatives of implicit multifunctions
Applicable Analysis, 2011This article analyses and develops furthermore the existing upper and lower estimates for the Frechet and normal coderivatives of implicit multifunctions. Various counterexamples and examples are given. The effect of right-hand side perturbations is discussed in detail.
G.M. Lee, N.D. Yen
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Compactness Properties, Openness Criteria and Coderivatives
Set-Valued Analysis, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On regular coderivatives in parametric equilibria with non-unique multipliers
Mathematical Programming, 2012Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
René Henrion +2 more
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Coderivatives of implicit multifunctions and stability of variational systems
Journal of Global Optimization, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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coderivatives of set-valued mappings: Calculus and applications
Nonlinear Analysis: Theory, Methods & Applications, 1997Consider a multivalued mapping \(F:X\to Y\) between Banach spaces, and a point \((x,y)\) in its graph. Let \(X^*\) and \(Y^*\) denote the topological duals of \(X\) and \(Y\), respectively. Roughly speaking, the co-derivative of \(F\) at \((x,y)\) is a multivalued mapping \(D^*F(x,y): Y^*\to X^*\) that describes the first-order behavior of \(F\) around
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