Search Results - Normal coderivative*

Coderivatives with respect to a set of the normal cone mappings and their applications

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

Subject Terms: Optimization and Control (math.OC), FOS: Mathematics, 49J53, 90C30, 90C31, Mathematics - Optimization and Control

Access URL: http://arxiv.org/abs/2312.15834

Coderivatives Related to Parametric Extended Trust Region Subproblem and Their Applications

Authors: Tran, Van Nghi

Source: Taiwanese Journal of Mathematics, 2018 Apr 01. 22(2), 485-511.

Access URL: https://www.jstor.org/stable/90020220

Exact Formulae for Coderivatives of Normal Cone Mappings to Perturbed Polyhedral Convex Sets

Authors: Jen-Chih Yao Nguyen Quang Huy

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

Subject Terms: Perturbed polyhedral convex set, Face, Science, Frechet coderivative, Social Sciences, Active index set, 0101 mathematics, Mordukhovich coderivative, Normal cone mapping, 01 natural sciences

Access URL: https://doaj.org/article/56036c9f9d8f44b0a6ae3b4ebfaaf75a
https://dblp.uni-trier.de/db/journals/jota/jota157.html#HuyY13
https://link.springer.com/article/10.1007%2Fs10957-012-0157-8

Normal coderivative for multifunctions and implicit function theorems

Authors: Nguyen Nang Tam Nguyen Dong Yen G. M. Lee

Source: Journal of Mathematical Analysis and Applications. 338:11-22

Subject Terms: Metric regularity, Multifunction, Pseudo-Lipschitz property, Applied Mathematics, 0211 other engineering and technologies, Metric projection, Normal coderivative, 02 engineering and technology, 0101 mathematics, Lower semicontinuity, 01 natural sciences, Implicit function theorem, Analysis

Access URL: https://www.sciencedirect.com/science/article/pii/S0022247X07006415
http://ui.adsabs.harvard.edu/abs/2008JMAA..338...11L/abstract
https://core.ac.uk/display/82116822
https://www.sciencedirect.com/science/article/abs/pii/S0022247X07006415

Stability criteria and calculus rules via conic contingent coderivatives in Banach spaces.

Authors: Mordukhovich, Boris S. Wu, Pengcheng Yang, Xiaoqi

Source: Optimization. Sep2025, Vol. 74 Issue 11, p2577-2610. 34p.

Subject Terms: *STABILITY criterion, *BANACH spaces, *LIPSCHITZ continuity, *CALCULUS of variations, *SET-valued maps, *VARIATIONAL approach (Mathematics), *MATHEMATICAL optimization

Calculus of directional coderivatives and normal cones in Asplund spaces

Authors: Pujun Long Bingwu Wang Xinmin Yang

Source: Positivity. 21:1115-1142

Subject Terms: 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 16. Peace & justice, 01 natural sciences, 3. Good health

Access URL: https://link.springer.com/article/10.1007/s11117-016-0455-8/fulltext.html
https://link.springer.com/article/10.1007%2Fs11117-016-0455-8
https://link.springer.com/content/pdf/10.1007%2Fs11117-016-0455-8.pdf

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

Authors: Helmut Gfrerer Jiří V. Outrata

Source: Optimization. 65:671-700

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

Access 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

Fréchet and normal coderivatives of implicit multifunctions

Authors: G.M. Lee Nguyen Dong Yen

Source: Applicable Analysis. 90:1011-1027

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

Access URL: https://www.tandfonline.com/doi/abs/10.1080/00036811.2010.483432

Coderivatives of normal cone mappings and Lipschitzian stability of parametric variational inequalities

Authors: Nguyen Mau Nam

Source: Nonlinear Analysis: Theory, Methods & Applications. 73:2271-2282

Subject Terms: 0211 other engineering and technologies, 02 engineering and technology

Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0362546X10003822
http://www.sciencedirect.com/science/article/pii/S0362546X10003822

EXACT FORMULAE FOR CODERIVATIVES OF NORMAL CONE MAPPINGS TO PERTURBED POLYHEDRAL CONVEX SETS

Authors: Nguyễn Quang Huy Jen Chih Yao

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

Subject Terms: Perturbed polyhedral convex set, Normal cone mapping, Frechet coderivative, Mordukhovich coderivative, Active index set, Face, General Works

File Description: electronic resource

Relation: https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/200; https://doaj.org/toc/0866-787X

Access URL: https://doaj.org/article/56036c9f9d8f44b0a6ae3b4ebfaaf75a

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

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

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

Generalized Metric Subregularity for Generalized Subsmooth Multifunctions in Asplund Spaces: Generalized metric subregularity for generalized subsmooth multifunctions in Asplund spaces

Authors: Ming Gao Wei Ouyang Jin Zhang et al.

Source: Set-Valued and Variational Analysis. 33

Subject Terms: coderivative, variational analysis, normal cone, Sensitivity, stability, parametric optimization, Nonsmooth analysis, Hölder metric subregularity, Set-valued and variational analysis

File Description: application/xml

Coderivative-based semi-Newton method in nonsmooth difference programming.

Authors: Aragón-Artacho, Francisco J. Mordukhovich, Boris S. Pérez-Aros, Pedro

Source: Mathematical Programming; Sep2025, Vol. 213 Issue 1/2, p385-432, 48p

Subject Terms: NONSMOOTH optimization, MATHEMATICAL optimization, VARIATIONAL inequalities (Mathematics), CALCULUS of variations, VARIATIONAL approach (Mathematics), NONLINEAR functions, NEWTON-Raphson method, BIOCHEMICAL models

People: NEWTON, Isaac, 1642-1727

Sensitivity analysis of parametric vector equilibrium problems on Fréchet coderivative.

Authors: Deng, Xicai Liu, Yibo Zhong, Chongyi

Source: Journal of Inequalities & Applications; 11/17/2025, Vol. 2025 Issue 1, p1-12, 12p

EXACT FORMULAE FOR CODERIVATIVES OF NORMAL CONE MAPPINGS TO PERTURBED POLYHEDRAL CONVEX SETS

Authors: Huy, Nguyễn Quang Yao, Jen Chih

Source: Dalat University Journal of Science; Volume 2, Issue 2 (2012) - [No 3a, Old version]; 69-84 ; Tạp chí Khoa học Đại học Đà Lạt; Tập 2, Số 2 (2012) - [Số 3a, bộ cũ]; 69-84 ; 0866-787X

Subject Terms: Perturbed polyhedral convex set, Normal cone mapping, Frechet coderivative, Mordukhovich coderivative, Active index set, Face

Relation: https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/200

Availability: https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/200

New results on linearly perturbed polyhedral normal cone mappings

Authors: Nguyen Thanh Qui

Source: Journal of Mathematical Analysis and Applications. 381:352-364

Subject Terms: Perturbed polyhedral convex set, Applied Mathematics, 0211 other engineering and technologies, Estimates, 02 engineering and technology, Fréchet coderivative, 0101 mathematics, Mordukhovich coderivative, Normal cone mapping, 01 natural sciences, Analysis

Access URL: https://www.sciencedirect.com/science/article/pii/S0022247X11001090
https://www.sciencedirect.com/science/article/pii/S0022247X11001090#!
https://core.ac.uk/display/82662349

Asplund 空间中方向上导数和序列法紧性质分析法则.

Alternate Title: Calculus of Normal Cones and Coderivatives Under the Assumption of Directional Inner Semicompactness in Asplund Spaces.

Authors: 龙莆均 杨新民 王炳武

Source: Applied Mathematics & Mechanics (1000-0887). Apr2017, Vol. 38 Issue 4, p457-468. 12p.

Nonlinear Perturbations of Polyhedral Normal Cone Mappings and Affine Variational Inequalities

Authors: Nguyen Thanh Qui

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

Subject Terms: Frechet normal cone, Nonlinear perturbation, Science, 0211 other engineering and technologies, Polyhedral normal cone mapping, Social Sciences, Estimate, 02 engineering and technology, Mordukhovich coderivative, Limiting normal cone

Access URL: https://doaj.org/article/877f17ab22454bcba237d867a7bead29
https://link.springer.com/article/10.1007%2Fs10957-011-9937-9
https://dblp.uni-trier.de/db/journals/jota/jota153.html#Nguyen12
https://doi.org/10.1007/s10957-011-9937-9

Variants of the Ekeland Variational Principle for a set-valued map involving the Clarke Normal Cone

Authors: Truong Xuan Duc Ha

Source: Journal of Mathematical Analysis and Applications. 316:346-356

Subject Terms: Clarke's normal cone, Vector optimization, Applied Mathematics, 0211 other engineering and technologies, Ekeland's variational principle, Set-valued map, 02 engineering and technology, Coderivative, 0101 mathematics, 01 natural sciences, Analysis

Access URL: https://www.sciencedirect.com/science/article/pii/S0022247X05003859
https://core.ac.uk/display/82549270
http://ui.adsabs.harvard.edu/abs/2006JMAA..316..346H/abstract

Compactness Properties, Openness Criteria and Coderivatives: Compactness properties, openness criteria and coderivatives

Authors: Jean-Paul Penot

Source: Set-Valued Analysis. 6:363-380

Subject Terms: coderivative, coderivatively compact, openness, normal compactness, nonsmooth analysis, Nonsmooth analysis, 0211 other engineering and technologies, subdifferential, 02 engineering and technology, Set-valued functions, 01 natural sciences, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, General theory of topological algebras, compactness, 0101 mathematics, injectivity

File Description: application/xml

Access URL: https://zbmath.org/1305611
https://doi.org/10.1023/a:1008746317549
https://link.springer.com/article/10.1023/A%3A1008746317549
https://link.springer.com/content/pdf/10.1023/A:1008746317549.pdf