Search Results - Normal coderivative

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

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

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; Volume 2, Issue 2 (2012) - [No 3a, Old version]; 69-84; 0866-787X

Index Terms: Perturbed polyhedral convex set; Normal cone mapping; Frechet coderivative; Mordukhovich coderivative; Active index set; Face, info:eu-repo/semantics/article, info:eu-repo/semantics/publishedVersion, "Peer-reviewed Article", "Bài viết có phản biện chuyên gia"

URL: http://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/200
http://worldcat.org/search?q=on:VNDAU+http://tckh.dlu.edu.vn/index.php/tckhdhdl/oai+tckhdhdl+CNTCOLL

Frechet and normal coderivatives of implicit multifunctions.

Authors: Lee, G. M. Yen, N. D.

Source: Applicable Analysis. Jun2011, Vol. 90 Issue 6, p1011-1027. 17p.

Subject Terms: *FRECHET spaces, *IMPLICIT functions, *ESTIMATION theory, *PERTURBATION theory, *FUNCTIONS of several real variables, *VECTOR topology

NONLINEAR PERTURBATIONS OF POLYHEDRAL NORMAL CONE MAPPINGS AND AFFINE VARIATIONAL INEQUALITIES

Authors: Nguyễn Thành Quí

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

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

File Description: electronic resource

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

Access URL: https://doaj.org/article/877f17ab22454bcba237d867a7bead29

Coderivatives of gap function for Minty vector variational inequality

Authors: Xue, Xiaowei Zhang, Yu

Subject Terms: Minty vector variational inequality, gap function, normal cone, coderivative

Relation: http://www.journalofinequalitiesandapplications.com/content/2015/1/285

Availability: http://www.journalofinequalitiesandapplications.com/content/2015/1/285

A sufficient condition for metric subregularity of set-valued mappings between Asplund spaces based on an outer-coderivative-like variational tool

Authors: Matthieu Maréchal

Source: Heliyon, Vol 9, Iss 10, Pp e20314- (2023)

Subject Terms: Nonsmooth analysis, Metric regularity, Error bounds, Stability analysis, Coderivative, Science (General), Q1-390, Social sciences (General), H1-99

File Description: electronic resource

Relation: http://www.sciencedirect.com/science/article/pii/S2405844023075229; https://doaj.org/toc/2405-8440

Access URL: https://doaj.org/article/8b107e6170ba4531a0f340a558163e1f

Multistage hierarchical optimization problems with multi-criterion objectives

Authors: Truong, Bao Q Zhang, Roxin Zhang, Quinghong

Source: Journal of Industrial & Management Optimization. 7:103-115

Subject Terms: Hierarchical optimization, normal coderivative, 0211 other engineering and technologies, multiobjective optimization, 02 engineering and technology, multistage bilevel programming

Access URL: https://www.aimsciences.org/article/doi/10.3934/jimo.2011.7.103
http://commons.nmu.edu/facwork/447/
https://www.aimsciences.org/article/exportPdf?id=9f4e245d-8ad2-4b5e-80b7-502b0b852900

On the theory of subdifferentials

Authors: Ioffe Alexander D.

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

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

File Description: electronic resource

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

Access URL: https://doaj.org/article/a680ba5e2f3a4ce192025a41a1a69870

STABILITY OF IMPLICIT MULTIFUNCTIONS IN ASPLUND SPACES

Authors: Huy, N. Q. Yao, J.-C.

Source: Taiwanese J. Math. 13, no. 1 (2009), 47-65

Subject Terms: Lipschitzian stability in Aubin's sense, implicit multifunction, Mordukhovich normal coderivative, 0211 other engineering and technologies, 90C31, Ekeland variational principle, 02 engineering and technology, Fréchet coderivative, 49J52, metric regularity in Robinson's sense, 49J53

File Description: application/pdf

Access URL: https://projecteuclid.org/journals/taiwanese-journal-of-mathematics/volume-13/issue-1/STABILITY-OF-IMPLICIT-MULTIFUNCTIONS-IN-ASPLUND-SPACES/10.11650/twjm/1500405272.pdf
https://projecteuclid.org/download/pdf_1/euclid.twjm/1500405272
https://projecteuclid.org/journals/taiwanese-journal-of-mathematics/volume-13/issue-1/STABILITY-OF-IMPLICIT-MULTIFUNCTIONS-IN-ASPLUND-SPACES/10.11650/twjm/1500405272.full
http://projecteuclid.org/euclid.twjm/1500405272

具有广义多面体约束的参数变分不等式解映射伴同导数.

Alternate Title: Coderivative of solution mapping to parametric variational inequality constrained by generalized polyhedra.

Authors: 庞丽萍 吕佳佳 孟凡云 et al.

Source: Journal of Dalian University of Technology / Dalian Ligong Daxue Xuebao. 2016, Vol. 56 Issue 5, p546-550. 5p.

Mixed coderivatives of set-valued mappings in variational analysis

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

Index Terms: 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

Analyse variationnelle de problèmes d'optimisation structurés et problèmes d'équilibre, avec application aux marchés de l'électricité

Authors: Pistek, Miroslav

Thesis Advisors: Perpignan, Ústav teorie informace a automatizace (République tchèque), Aussel, Didier, Outrata, Jiri

Subject Terms: Marché de l'électricité, M-stationnarité, Codérivée, Quasiconvexité, Opérateur normal, Electricity market, M-stationnarity, Coderivative, Quasiconvexity, Normal operator, 510

Availability: http://www.theses.fr/2015PERP0008

CODERIVATIVES AND THE SOLUTION MAP OF A LINEAR CONSTRAINT SYSTEM.

Authors: DUONG THI KIM HUYEN NGUYEN DONG YEN

Source: SIAM Journal on Optimization. 2016, Vol. 26 Issue 2, p986-1007. 22p.

Subject Terms: *VARIATIONAL inequalities (Mathematics), *MATHEMATICAL bounds, *COMPLEMENTARITY constraints (Mathematics), *PERTURBATION theory, *LIPSCHITZ spaces, *MATHEMATICAL mappings

Hierarchické úlohy s evolučními ekvilibriálními omezeními

Hierarchical Problems with Evolutionary Equilibrium Constraints

Authors: Adam, Lukáš

Thesis Advisors: Outrata, Jiří, Lachout, Petr, Hoheisel, Tim

Subject Terms: mathematical program with equilibrium constraints, normálový kužel, analýza stability a sensitivity, delaminace, normally admissible stratification, coderivative, delamination, koderivace, stability and sensitivity analysis, normal cone, matematický program s ekvilibriálními omezeními, solution mapping

Availability: http://www.nusl.cz/ntk/nusl-352273

Coderivatives of solution map to a parametric quasi-variational inequality.

Authors: Zhang Jie Ren Yong-hong Zhang Li-wei

Source: Journal of Dalian University of Technology / Dalian Ligong Daxue Xuebao. 2012, Vol. 52 Issue 4, p619-624. 6p.

Subject Terms: Lipschitz spaces, Function spaces, Estimation theory, Set theory, Quasivarieties (Universal algebra)

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

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

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

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