Search Results - "limiting coderivative"

On the Positive Definiteness of Limiting Coderivative for Set-Valued Mappings

Authors: T. T. A. Nghia D. T. Pham T. T. T. Tran

Source: Set-Valued and Variational Analysis. 29:283-300

Subject Terms: 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Access URL: https://link.springer.com/article/10.1007/s11228-020-00547-z

On the Positive Definiteness of Limiting Coderivative for Set-Valued Mappings.

Authors: Nghia, T. T. A. Pham, D. T. Tran, T. T. T.

Source: Set-Valued & Variational Analysis; Jun2021, Vol. 29 Issue 2, p283-300, 18p

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

Authors: Gfrerer, Helmut Outrata, Jiri

Subject Terms: 0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, 49J53, 90C31, 90C46, Aubin property, directional limiting coderivative, parameterized variational system, Solution map

Relation: Optimization Vol. 69, no. 7-8 (2020), p. 1681-1701; http://purl.org/au-research/grants/arc/DP160100854; http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/174336; vital:14824; https://doi.org/10.1080/02331934.2019.1657427

Availability: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/174336
https://doi.org/10.1080/02331934.2019.1657427

On lipschitzian properties of implicit multifunctions

Authors: Gfrerer, Helmut Outrata, Jiri

Subject Terms: 0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, Aubin property, Calmness, Directional limiting coderivative, Solution map, Software engineering, Aubin properties, Fine analysis, Implicit function, Implicit multifunctions, Lipschitzian, Nocv1, Polyhedral set, Computer science

Relation: SIAM Journal on Optimization Vol. 26, no. 4 (2016), p. 2160-2189; http://purl.org/au-research/grants/arc/DP160100854; http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154327; vital:11091; https://doi.org/10.1137/15M1052299

Availability: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154327
https://doi.org/10.1137/15M1052299

On New Generalized Differentials with Respect to a Set and Their Applications.

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

Source: Set-Valued & Variational Analysis; Sep2024, Vol. 32 Issue 3, p1-27, 27p

Some Remarks on Stability of Generalized Equations

Authors: Outrata, Jiří Kruger, Alexander Y. Henrion, René

Source: Journal of Optimization Theory and Applications. 159:681-697

Subject Terms: ddc:510, article, 0211 other engineering and technologies, 90C31, 02 engineering and technology, Parameterized generalized equation -- regular and limiting coderivative -- constant rank CQ -- mathematical program with equilibrium constraint, regular and limiting coderivative, constant rank CQ, 90C46, Parameterized generalized equation, mathematical program with equilibrium constraint, 49J53

Access URL: https://researchonline.federation.edu.au/vital/access/services/Download/vital:4744/SOURCE1
http://www.optimization-online.org/DB_FILE/2011/12/3293.pdf
https://link.springer.com/content/pdf/10.1007%2Fs10957-012-0147-x.pdf
http://wias-berlin.de/people/henrion/hkofinal2.pdf
https://link.springer.com/article/10.1007/s10957-012-0147-x/fulltext.html
http://library.utia.cas.cz/separaty/2013/MTR/outrata-some%20remarks%20on%20stability%20of%20generalized%20equations.pdf
https://doi.org/10.1007/s10957-012-0147-x

On regular coderivatives in parametric equilibria with non-unique multipliers

Authors: Henrion, René Outrata, Jiří Surowiec, Thomas

Source: Mathematical Programming. 136:111-131

Subject Terms: ddc:510, article, 0211 other engineering and technologies, 90C31, 02 engineering and technology, Parameterized generalized equation -- regular and limiting coderivative -- constant rank CQ -- mathematical program with equilibrium constraint, regular and limiting coderivative, constant rank CQ, 90C46, Parameterized generalized equation, mathematical program with equilibrium constraint, 49J53

Access URL: http://library.utia.cas.cz/separaty/2012/MTR/outrata-0384691.pdf
http://www.wias-berlin.de/people/henrion/regcoder.pdf
https://link.springer.com/article/10.1007/s10107-012-0553-8
https://rd.springer.com/article/10.1007/s10107-012-0553-8
https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1029
https://dblp.uni-trier.de/db/journals/mp/mp136.html#HenrionOS12

On the Coderivative of the Projection Operator onto the Second-order Cone

Authors: Outrata, J.V. Sun, D. MATHEMATICS

Contributors: Outrata, J.V. Sun, D. MATHEMATICS

Source: Set-Valued Analysis. 16:999-1014

Subject Terms: 0209 industrial biotechnology, Aubin property, 0211 other engineering and technologies, Projection, 02 engineering and technology, Second-order cone, Limiting coderivative

Access URL: https://link.springer.com/content/pdf/10.1007%2Fs11228-009-0115-2.pdf
https://research.polyu.edu.hk/en/publications/on-the-coderivative-of-the-projection-operator-onto-the-second-or
https://link.springer.com/article/10.1007/s11228-008-0092-x
http://www.math.nus.edu.sg/~matsundf/singapore4.pdf
http://library.utia.cas.cz/separaty/2008/MTR/outrata-on%20the%20coderivative%20of%20the%20projection%20operator%20onto%20the%20second-order%20cone.pdf
https://link.springer.com/content/pdf/10.1007%2Fs11228-009-0115-2.pdf

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

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

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

Subject Terms: SET-valued maps, EQUILIBRIUM

Some remarks on stability of generalized equations

Authors: Henrion, René Kruger, Alexander Y. Outrata, Jiří

Subject Terms: article, ddc:510, 49J53, 90C31, 90C46, Parameterized generalized equation -- regular and limiting coderivative -- constant rank CQ -- mathematical program with equilibrium constraint

Relation: https://doi.org/10.20347/WIAS.PREPRINT.1678

Availability: https://doi.org/10.20347/WIAS.PREPRINT.1678
https://archive.wias-berlin.de/receive/wias_mods_00001831
https://archive.wias-berlin.de/servlets/MCRFileNodeServlet/wias_derivate_00001748/wias_preprints_1678.pdf
http://www.wias-berlin.de/publications/wias-publ/run.jsp?template=abstract&type=Preprint&year=2012&number=1678

On the Aubin property of a class of parameterized variational systems

Authors: Gfrerer, Helmut Outrata, Jiri

Subject Terms: 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

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

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

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

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

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

Some

Authors: René Henrion Er Y. Kruger Jiˇrí V. Outrata et al.

Contributors: René Henrion Er Y. Kruger Jiˇrí V. Outrata et al.

Source: http://www.optimization-online.org/DB_FILE/2011/12/3293.pdf.

Subject Terms: regular and limiting coderivative

File Description: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.416.1831

Availability: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.416.1831
http://www.optimization-online.org/DB_FILE/2011/12/3293.pdf

On Stability of M-stationary Points in MPCCs.

Authors: Červinka, Michal Outrata, Jiří Pištěk, Miroslav

Source: Set-Valued & Variational Analysis; Sep2014, Vol. 22 Issue 3, p575-595, 21p

On New Generalized Differentials with Respect to a Set and Their Applications

Authors: Xiaolong Qin Vo Duc Thinh Jen-Chih Yao

Source: Set-Valued and Variational Analysis. 32

Subject Terms: Optimization and Control (math.OC), FOS: Mathematics, 0211 other engineering and technologies, 49J53, 90C30, 90C31, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 02 engineering and technology, 0101 mathematics, Mathematics - Optimization and Control, 01 natural sciences

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

Tilt Stability of Ky-Fan κ-Norm Composite Optimization.

Authors: Liu, Yulan Pan, Shaohua Song, Wen

Source: Set-Valued & Variational Analysis; Dec2025, Vol. 33 Issue 4, p1-34, 34p

On Strict Proto-Differentiability of Set-Valued Mappings.

Authors: Gfrerer, Helmut

Source: Set-Valued & Variational Analysis; Sep2025, Vol. 33 Issue 3, p1-22, 22p

Perturbation Analysis for KKT Point Sets of Constrained Optimization Problems.

Authors: Zheng, Xi Yin

Source: SIAM Journal on Optimization; 2025, Vol. 35 Issue 3, p1914-1938, 25p

Subject Terms: CONSTRAINED optimization, PERTURBATION theory, VARIATIONAL approach (Mathematics), QUADRATIC programming, STABILITY theory

Understanding Qualitative Robust Stability of Composite Variational Systems.

Authors: Adly, Samir

Source: Set-Valued & Variational Analysis; Jun2025, Vol. 33 Issue 2, p1-31, 31p

AUBIN PROPERTY AND STRONG REGULARITY ARE EQUIVALENT FOR NONLINEAR SECOND-ORDER CONE PROGRAMMING.

Authors: CHEN, LIANG CHEN, RUONING SUN, DEFENG et al.

Source: SIAM Journal on Optimization; 2025, Vol. 35 Issue 2, p712-738, 27p

Subject Terms: NONLINEAR programming, MATHEMATICAL equivalence, HYPOTHESIS, PROBLEM solving, CONVEX programming, VARIATIONAL approach (Mathematics)