Results 31 to 40 of about 216 (132)
Coderivatives at infinity of set-valued mappings
, 2023 In this paper, the concept of coderivatives at infinity of set-valued mappings is introduced. Well-posedness properties at infinity of set-valued mappings as well as Mordukhovich's criterion at infinity are established. Fermat's rule at infinity in set-valued optimization is also provided.
Kim, Do Sang +3 more
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Restrictive metric regularity and generalized differential calculus in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 50, Page 2653-2680, 2004., 2004 We consider nonlinear mappings f : X → Y between Banach spaces and study the notion of restrictive metric regularity of f around some point x¯, that is, metric regularity of f from X into the metric space E = f(X). Some sufficient as well as necessary and sufficient conditions for restrictive metric regularity are obtained, which particularly include ...
Boris S. Mordukhovich, Bingwu Wang
wiley +1 more source
Variational analysis of extended generalized equations via coderivative calculus in Asplund spaces
, 2009 This paper is devoted to the development of variational analysis and generalized differentiation in the framework of Asplund spaces. We mainly concern the study of a special class of set-valued mapping given in the formS(x)={y∈Y|0∈F(x,y)+Q(x,y)},x∈X ...
Mordukhovich, Boris S., Nam, Nguyen Mau
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Coderivatives of gap function for Minty vector variational inequality [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xue, Xiaowei, Zhang, Yu
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Universal representations of Lie algebras by coderivations
Bulletin des Sciences Mathématiques, 2003 A class of representations of a Lie superalgebra (over a commutative superring) in its symmetric algebra is studied. As an application we get a direct and natural proof of a strong form of the Poincare'-Birkhoff-Witt theorem, extending this theorem to a class of nilpotent Lie superalgebras. Other applications are presented.
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Higher Coderivations on Coalgebras and Characterization
Kragujevac Journal of MathematicsIn this paper we define higher coderivations on a coalgebra C and then we characterize them in terms of the coderivations on C. Indeed, we show that each higher coderivation is a combination of compositions of coderivations. Finally we prove a one to one correspondence between the set of all higher coderivations on C and all sequences of coderivations ...
Tafazoli, E., Mirzavaziri, M.
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Globally Convergent Coderivative-Based Generalized Newton Methods in Nonsmooth Optimization
, 2023 This paper proposes and justifies two globally convergent Newton-type methods to solve unconstrained and constrained problems of nonsmooth optimization by using tools of variational analysis and generalized differentiation.
Khanh, Pham Duy +3 more
core
Directional metric pseudo subregularity of set-valued mappings: a general model
, 2020 This paper investigates a new general pseudo subregularity model which unifies some important nonlinear (sub)regularity models studied recently in the literature. Some slope and abstract coderivative characterizations are established.
Théra, Michel +3 more
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Oriented Calmness and Sweeping Process Dynamics
, 2023 Daniilidis and Drusviatskiy, in 2017, extended the celebrated Kurdyka–Łojasiewicz inequality from definable functions to definable multivalued maps by establishing that the coderivative mapping admits a desingularization around every critical value.
Daniilidis, Aris; orcid: +1 more
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Generalized Differential Calculus for Nonsmooth and Set-Valued Mappings
, 1994 We study some generalized differentiability concepts for multifunctions and non-smooth mappings in finite dimensions. The most attention is paid to the so-called coderivative of multifunctions introduced earlier by the author.
Mordukhovich, B.S.
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