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On metric and calmness qualification conditions in subdifferential calculus
The first part deals with the characterization of calmness in terms of specially tailored derivateive-like objects. In the second part to each of the main calculus rules we asign three weak qualification conditions based on metric and calmne...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Calculus for Directional Limiting Normal Cones and Subdifferentials
The paper is devoted to the development of a comprehensive calculus for directional limiting normal cones, subdifferentials and coderivatives in finite dimensions. This calculus encompasses the whole range of the standard g...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Subdifferential calculus in Asplund generated spaces
We extend the definition of the limiting Fréchet subdifferential and the limiting Fréchet normal cone from Asplund spaces to Asplund generated spaces. Then we prove a sum rule, a mean value theorem, and other statements for this concept....
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On second-order subdifferentials and their applications.
We study second-order subdifferentials of nonsmooth functions that are particularly important for applications to sensitivity analysis in optimization and related problems. First we develop various calculus rules for these subdi...
BB - Aplikovaná statistika, operační výzkum
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Separable reductions and rich families in theory of Fréchet subdifferentials
We consider important properties of Fréchet subdifferentials, in particular: the non-emptiness of subdifferentials, the non-zeroness of normal cones, the fuzzy calculus, and the extremal principle; all statements being cons...
BA - Obecná matematika
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
Separable reductions and rich families in theory of Fréchet subdifferentials
In a recent paper [Separable reduction in the theory of Fréchet subdifferentials, Set-Valued Var. Anal. 21(4) (2013) 661–-671] we presented the separable of Fréchet subdifferentials, in particular: the non-emptiness of subdiffer...
BA - Obecná matematika
- 2016 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Fuzzy multiplier, sum and intersection rules in non-Lipschitzian settings: Decoupling approach revisited
of necessary optimality conditions and calculus relations, unify and simplify of Clarke subdifferentials and in Asplund spaces in terms of Frechet subdifferentials. The mentioned fuzzy multiplier rules naturally lead to ce...
Pure mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Generalized-Hukuhara subdifferential analysis and its application in nonconvex composite interval optimization problems
In this article, we study calculus for gH-subdifferential of convex interval-valued functions (IVFs) and apply it in a nonconvex composite model of an interval of the maximum of finitely many comparable IVFs. With the help of existi...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On calmness of a class of multifunctions.
The paper deals with calmness of a class of multifunctions in finite dimensions. Its first part is devoted to various calmness criteria which are derived in terms of coderivatives and subdifferentials. The second part demonstrates the import...
BB - Aplikovaná statistika, operační výzkum
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Limiting Normal Operator in Quasiconvex Analysis
Inspired by similar definition in subdifferential theory, we define limiting sublevel set and limiting normal operator maps for quasiconvex functions. These maps satisfy important properties as semicontinuity and quasimonotonicity. Moreover,...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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