Suchergebnisse - limiting coderivatives~

On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications

Autoren: Helmut Gfrerer Jiří V. Outrata

Quelle: Optimization. 65:671-700

Schlagwörter: 0211 other engineering and technologies, 49J53, 90C31, 90C46, 02 engineering and technology, 0101 mathematics, Mathematics - Optimization and Control, 01 natural sciences

Zugangs-URL: http://arxiv.org/pdf/1611.08236
http://arxiv.org/abs/1611.08236
http://library.utia.cas.cz/separaty/2015/MTR/outrata-0447466.pdf
http://ui.adsabs.harvard.edu/abs/2016arXiv161108236G/abstract
https://www.tandfonline.com/doi/full/10.1080/02331934.2015.1066372
https://arxiv.org/pdf/1611.08236v1

On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications

Autoren: Gfrerer, Helmut Outrata, Ji���� V.

Schlagwörter: Optimization and Control (math.OC), FOS: Mathematics, 49J53, 90C31, 90C46

On the theory of subdifferentials

Autoren: Ioffe Alexander D.

Quelle: Advances in Nonlinear Analysis, Vol 1, Iss 1, Pp 47-120 (2012)

Schlagwörter: banach space, subdifferential calculus, limiting subdifferentials, metric modification, -subdifferential, normal cone, coderivative, trustworthiness, separable space, separable reduction, Analysis, QA299.6-433

Dateibeschreibung: electronic resource

Relation: https://doaj.org/toc/2191-9496; https://doaj.org/toc/2191-950X

Zugangs-URL: https://doaj.org/article/a680ba5e2f3a4ce192025a41a1a69870

A survey of subdifferential calculus with applications

Autoren: Borwein, Jonathan M. Zhu, Qiji J.

Quelle: Nonlinear Analysis: Theory, Methods & Applications. 38:687-773

Schlagwörter: mean value inequalities, coderivative calculus, generalized gradients, viscosity solutions, proximal subdifferential, Nonsmooth analysis, 0211 other engineering and technologies, 02 engineering and technology, implicit function theorems, 01 natural sciences, nonlocal fuzzy sum rule, mean value theorems, nonlinear programming, subdifferential calculus, Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control, open mapping, 0101 mathematics, limiting coderivatives, visosity solutions, viscosity subdifferential, nonsmooth analysis, Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games, geometric subdifferential, sensitivity, smooth spaces, limiting subdifferentials, coderivatives, constrained optimization problems, subdifferentials, Hamilton-Jacobi equations, metric regularity

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/abs/pii/S0362546X98001424
https://www.sciencedirect.com/science/article/pii/S0362546X98001424#!
https://wmich.pure.elsevier.com/en/publications/survey-of-subdifferential-calculus-with-applications-3

On the directional asymptotic approach in optimization theory: The directional asymptotic approach: M. Benko, P. Mehlitz.

Autoren: Benko, Matúš Mehlitz, Patrick

Quelle: Mathematical Programming. Jan2025, Vol. 209 Issue 1, p859-937. 79p.

Schlagwörter: *CALCULUS of variations, *SEMIDEFINITE programming, *SET-valued maps, *MATHEMATICAL optimization, *SENSES, *NONSMOOTH optimization

NONLINEAR PERTURBATIONS OF POLYHEDRAL NORMAL CONE MAPPINGS AND AFFINE VARIATIONAL INEQUALITIES

Autoren: Nguyễn Thành Quí

Quelle: Tạp chí Khoa học Đại học Đà Lạt, Vol 2, Iss 3 (2012)

Schlagwörter: Polyhedral normal cone mapping, Nonlinear perturbation, Frechet normal cone, Limiting normal cone, Mordukhovich coderivative, Estimate, General Works

Dateibeschreibung: electronic resource

Relation: https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/208; https://doaj.org/toc/0866-787X

Zugangs-URL: https://doaj.org/article/877f17ab22454bcba237d867a7bead29

Formulas for Calculating Generalized Differentials with Respect to a Set and Their Applications.

Autoren: Thinh, Vo Duc Qin, Xiaolong Yao, Jen-Chih

Quelle: Journal of Optimization Theory & Applications. Dec2024, Vol. 203 Issue 3, p2784-2817. 34p.

Schlagwörter: *SET-valued maps, *EQUILIBRIUM

On the Aubin property of a class of parameterized variational systems

Autoren: Gfrerer, Helmut Outrata, Jiri

Schlagwörter: 0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, 0802 Computation Theory and Mathematics, Aubin property, Directional limiting coderivative, Graphical derivative, Solution map

Relation: Mathematical Methods of Operations Research Vol. 86, no. 3 (2017), p. 443-467; http://purl.org/au-research/grants/arc/DP160100854; http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/164132; vital:13000

Verfügbarkeit: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/164132
https://doi.org/10.1007/s00186-017-0596-y

Strict Efficiency in Set Optimization Studied with the Set Approach.

Autoren: Ha, Truong Xuan Duc¹ (AUTHOR) hatxd@thanglong.edu.vn

Quelle: Journal of Optimization Theory & Applications. May2025, Vol. 205 Issue 2, p1-20. 20p.

Schlagwörter: *DIRECTIONAL derivatives, *SUBDIFFERENTIALS, *SET-valued maps

Mixed coderivatives of set-valued mappings in variational analysis

Autoren: Mordukhovich, B.S. Shao, Y.

Index Begriffe: Article, PeerReviewed

URL: https://pure.iiasa.ac.at/id/eprint/5348/
http://www.degruyter.com/view/j/jaa.1998.4.issue-2/jaa.1998.269/jaa.1998.269.xml?format=INT
https://pure.iiasa.ac.at/id/eprint/5348
http://www.degruyter.com/view/j/jaa.1998.4.issue-2/jaa.1998.269/jaa.1998.269.xml?format=INT

On new generalized differentials with respect to a set and their applications

Autoren: Qin, Xiaolong Thinh, Vo Duc Yao, Jen-Chih

Index Begriffe: Mathematics - Optimization and Control, Mathematics - Numerical Analysis, 49J53, 90C30, 90C31, text

URL: http://arxiv.org/abs/2307.15389

A survey of subdifferential calculus with applications (addendum)

Autoren: Borwein, Jonathan M. Zhu, Qiji J.

Schlagwörter: viscosity subdifferential, proximal subdifferential, mean value inequalities, viscosity solutions, Hamilton-Jacobi equations, smooth spaces, open mapping, implicit function theorems, metric regularity, sensitivity, subdifferential calculus, coderivative calculus, limiting subdifferentials, geometric subdifferential, generalized gradients, limiting coderivatives, constrained optimization problems, mean value theorems

Relation: Nonlinear Analysis: Theory, Methods & Applications Vol. 49, Issue 2, p. 295-296; http://hdl.handle.net/1959.13/940598; uon:13044

Verfügbarkeit: http://hdl.handle.net/1959.13/940598

A Coderivative Approach to the Robust Stability of Composite Parametric Variational Systems: Applications in Nonsmooth Mechanics.

Autoren: Adly, Samir¹ samir.adly@unilim.fr

Quelle: Journal of Optimization Theory & Applications. Jan2019, Vol. 180 Issue 1, p62-90. 29p.

Schlagwörter: *ROBUST stability analysis, *PARAMETER estimation, *NONSMOOTH optimization, *CALCULUS of variations, *PROBLEM solving

On the Aubin property of a class of parameterized variational systems.

Autoren: Gfrerer, H. Outrata, J.

Quelle: Mathematical Methods of Operations Research; Dec2017, Vol. 86 Issue 3, p443-467, 25p, 1 Graph

Schlagwörter: VARIATIONAL inequalities (Mathematics), PARAMETERIZATION, MATHEMATICAL mappings, DERIVATIVES (Mathematics), CALCULUS

ON LIPSCHITZIAN PROPERTIES OF IMPLICIT MULTIFUNCTIONS.

Autoren: GFRERER, HELMUT OUTRATA, JIŘÍ V.

Quelle: SIAM Journal on Optimization. 2016, Vol. 26 Issue 4, p2160-2189. 30p.

Schlagwörter: *DERIVATIVES (Mathematics), *MATHEMATICAL functions, *MATHEMATICAL mappings, *SET theory, *PROBLEM solving

Extensions of generalized differential calculus in Asplund spaces

Autoren: Bingwu Wang Boris S. Mordukhovich

Quelle: Journal of Mathematical Analysis and Applications. 272:164-186

Schlagwörter: Calculus of functions on infinite-dimensional spaces, generalized differential calculus, Asplund spaces, Applied Mathematics, Nonsmooth analysis, coderivatives, set-valued mappings, 0101 mathematics, subdifferentials, 01 natural sciences, normal cones, Analysis, Set-valued and variational analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://www.sciencedirect.com/science/article/abs/pii/S0022247X0200149X
https://www.sciencedirect.com/science/article/pii/S0022247X0200149X

Codifferential Calculus.

Autoren: Li, Shengjie Penot, Jean-Paul Xue, Xiaowei

Quelle: Set-Valued & Variational Analysis; Dec2011, Vol. 19 Issue 4, p505-536, 32p

On the Aubin property of solution maps to parameterized variational systems with implicit constraints.

Autoren: Gfrerer, Helmut Outrata, Jiří V.

Quelle: Optimization. Jul-Aug2020, Vol. 69 Issue 7/8, p1681-1701. 21p.

Schlagwörter: *COMPLEMENTARITY constraints (Mathematics)

On regular coderivatives in parametric equilibria with non-unique multipliers.

Autoren: Henrion, R. Outrata, J. Surowiec, T.

Quelle: Mathematical Programming. Nov2012, Vol. 136 Issue 1, p111-131. 21p.

Schlagwörter: *DERIVATIVES (Mathematics), *MULTIPLIERS (Mathematical analysis), *MATHEMATICAL mappings, *SET theory, *MATHEMATICAL inequalities, *MATHEMATICAL constants, *LINEAR systems, *MATHEMATICAL analysis

Directionally generalized differentiation for multifunctions and applications to set-valued programming problems.

Autoren: Thinh, Vo Duc Chuong, Thai Doan

Quelle: Annals of Operations Research. Oct2018, Vol. 269 Issue 1/2, p727-751. 25p.

Schlagwörter: *DIFFERENTIATION (Mathematics), *MATHEMATICAL optimization, *MATHEMATICAL programming, *SUBDIFFERENTIALS, *EXISTENCE theorems