Results 41 to 50 of about 216 (132)
On derivative criteria for metric regularity
, 2013 International audienceWe give a simple self-contained proof of the equality which links directly the graphical derivative and coderivative criteria for metric regularity.
Dontchev, Asen, +3 more
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Nonconvex differential calculus for infinite dimensional multifunctions
, 1996 The paper is concerned with generalized differentiation of set-valued mappings between Banach spaces. Our basic object is the so-called coderivative of multifunctions that was introduced earlier by the first author and has had a number of useful ...
Mordukhovich, B.S., Shao, Y.
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On new generalized differentials with respect to a set and their applications
, 2023 The notions and certain fundamental characteristics of the proximal and limiting normal cones with respect to a set are first presented in this paper.
Thinh, Vo Duc +2 more
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On coderivatives and Lipschitzian properties of the dual pair in optimization
Nonlinear Analysis: Theory, Methods & Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
López, Marco A. +2 more
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CODERIVATIVES OF EFFICIENT POINT MULTIFUNCTIONS IN PARAMETRIC VECTOR OPTIMIZATION
Taiwanese Journal of Mathematics, 2009 This paper is concerned with generalized differentiation of the efficient point multifunctions of parametric vector optimization problems in Banach spaces. We give formulae for computing and/or estimating the Fr´echet coderivative (precoderivative) of this multifunction in a broad class of conventional vector optimization problems with the presence of ...
Chuong, Thai Doan, Yao, Jen-Chih
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On computation of generalized derivatives of the normal-cone mapping and their applications
, 2016 The paper concerns the computation of the graphical derivative and the regular (Fréchet) coderivative of the normal-cone mapping related to C2 inequality constraints under very weak qualification conditions.
Gfrerer, Helmut, Outrata, Jiri
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On stability of M-stationary points in MPCCs
, 2014 We consider parameterized Mathematical Programs with Complementarity Constraints arising, e.g., in modeling of deregulated electricity markets. Using the standard rules of the generalized differential calculus we analyze qualitative stability of ...
Pištěk, M +2 more
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Solving ill-posed bilevel programs [PDF]
, 2016 This paper deals with ill-posed bilevel programs, i.e., problems admitting multiple lower-level solutions for some upper-level parameters. Many publications have been devoted to the standard optimistic case of this problem, where the difficulty is ...
Zemkoho, Alain B., Alain B. Zemkoho
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Local coderivatives and approximation of Hodge Laplace problems
Mathematics of Computation, 2018 The standard mixed finite element approximations of Hodge Laplace problems associated with the de Rham complex are based on proper discrete subcomplexes. As a consequence, the exterior derivatives, which are local operators, are computed exactly. However, the approximations of the associated coderivatives are nonlocal.
Jeonghun J. Lee, Ragnar Winther
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Formulas for calculating of generalized differentials with respect to a set and their applications
, 2023 This paper provides formulas for calculating of Fr\'{e}chet and limiting normal cones with respect to a set of sets and the limiting coderivative with respect to a set of set-valued mappings.
Thinh, Vo Duc +2 more
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