Search Results - Frechet coderivative*

Sensitivity analysis of parametric vector equilibrium problems on Fréchet coderivative

Authors: Xicai Deng Yibo Liu Chongyi Zhong

Source: Journal of Inequalities and Applications, Vol 2025, Iss 1, Pp 1-12 (2025)

Subject Terms: Sensitivity analysis, Vector optimization, Perturbed mapping, Gap function, Fréchet coderivative, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/1029-242X

Access URL: https://doaj.org/article/0b922e15636d4c82beefa477e4dd5b93

Frechet and Mordukhovich Derivative (Coderivative) and Covering Constant for Single-Valued Mapping in Euclidean Space with Application (II)

Authors: Li, Jinlu

Subject Terms: FOS: Mathematics, 49J52, 49J53, 47H10, 90C31, Functional Analysis, Functional Analysis (math.FA)

Access URL: http://arxiv.org/abs/2508.10766
http://arxiv.org/abs/2508.11118

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

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

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 and Aubin property of efficient point and efficient solution set-valued maps in parametric vector optimization

Authors: Xiaowei Xue

Source: Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-15 (2020)

Subject Terms: Parametric vector optimization, Efficient point set-valued map, Efficient solution set-valued map, (Fréchet) coderivative, Aubin property, Mathematics, QA1-939

File Description: electronic resource

Relation: http://link.springer.com/article/10.1186/s13660-020-02499-2; https://doaj.org/toc/1029-242X

Access URL: https://doaj.org/article/5dc36d59bb2a4e689ea823b3f88ae296

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

On Fréchet Subdifferentials: On Fréchet subdifferentials

Authors: A. Ya. Kruger

Source: Journal of Mathematical Sciences. 116:3325-3358

Subject Terms: Derivatives of functions in infinite-dimensional spaces, fuzzy sum rule, Nonsmooth analysis, 0211 other engineering and technologies, 02 engineering and technology, Fréchet and Gateaux differentiability in optimization, 01 natural sciences, Asplund space, extremal principle, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, Fréchet subdifferential, Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control, Fréchet coderivative, 0101 mathematics, Fréchet normal cone, Set-valued and variational analysis

File Description: application/xml

Access URL: https://researchonline.federation.edu.au/vital/access/services/Download/vital:2765/SOURCE1
https://zbmath.org/2021023
https://doi.org/10.1023/a:1023673105317
https://link.springer.com/article/10.1023/A:1023673105317

Qualification Conditions for Calculus Rules of Coderivatives of Multivalued Mappings: Qualification conditions for calculus rules of coderivatives of multivalued mappings

Authors: Abderrahim Jourani L Thibault

Source: Journal of Mathematical Analysis and Applications. 218:66-81

Subject Terms: Derivatives of functions in infinite-dimensional spaces, multivalued mappings with closed graphs, coderivatives of multivalued mappings, Applied Mathematics, Nonsmooth analysis, limiting Fréchet coderivatives, 0211 other engineering and technologies, 02 engineering and technology, 01 natural sciences, Asplund space, approximate coderivative, calculus rules, tangent cones, 0101 mathematics, Set-valued operators, Analysis

File Description: application/xml

Access URL: https://zbmath.org/1123511
https://doi.org/10.1006/jmaa.1997.5733
https://www.sciencedirect.com/science/article/pii/S0022247X97957334
https://core.ac.uk/display/81126860
https://www.sciencedirect.com/science/article/abs/pii/S0022247X97957334

Lagrange multipliers for set-valued optimization problems associated with coderivatives

Authors: Truong Xuan Duc Ha

Source: Journal of Mathematical Analysis and Applications. 311:647-663

Subject Terms: vector optimization, set-valued map, Lagrange multipliers, Applied Mathematics, Nonsmooth analysis, 0211 other engineering and technologies, subdifferential, 02 engineering and technology, 01 natural sciences, Fréchet's coderivative, optimal solution, Mordukhovich's coderivative, marginal function, Optimality conditions and duality in mathematical programming, 0101 mathematics, Multi-objective and goal programming, Analysis, Set-valued and variational analysis

File Description: application/xml

Access URL: https://zbmath.org/2217438
https://doi.org/10.1016/j.jmaa.2005.03.011
https://www.sciencedirect.com/science/article/pii/S0022247X05002003
http://ui.adsabs.harvard.edu/abs/2005JMAA..311..647H/abstract

Viscosity Coderivatives and Their Limiting Behavior in Smooth Banach Spaces: Viscosity coderivatives and their limiting behavior in smooth Banach spaces.

Authors: Yongheng Shao Boris S. Mordukhovich Qiji Zhu

Source: Positivity. 4:1-39

Subject Terms: set-valued and nonsmooth mappings, Derivatives of functions in infinite-dimensional spaces, Nonsmooth analysis, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, Set-valued and function-space-valued mappings on manifolds, 0101 mathematics, viscosity coderivatives, 01 natural sciences, Set-valued and variational analysis, multifunctions

File Description: application/xml

Access URL: https://zbmath.org/1428433
https://doi.org/10.1023/a:1009881924265
https://link.springer.com/content/pdf/10.1023/A:1009881924265.pdf
https://link.springer.com/article/10.1023/A:1009881924265

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

Approximate subgradients and coderivatives in R n: Approximate subgradients and coderivatives in \(R^ n\)

Authors: Borwein, D. Borwein, J. M. Wang, Xianfu

Source: Set-Valued Analysis. 4:375-398

Subject Terms: coderivative, Mordukhovich-Ioffe coderivatives, Lipschitz function, Lebesgue measure, subgradients, Nonsmooth analysis, nowhere dense set, subgradient, Convex sets in \(n\) dimensions (including convex hypersurfaces), Fréchet and Gateaux differentiability in optimization, 01 natural sciences, bump function, disconnectedness, Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives, generalized Jacobian, vector-valued Lipschitz functions, gauge, guage, Calculus of vector functions, 0101 mathematics

File Description: application/xml

Access URL: https://zbmath.org/980809
https://doi.org/10.1007/bf00436112
https://link.springer.com/article/10.1007%2FBF00436112
http://docserver.carma.newcastle.edu.au/152/

coderivatives of set-valued mappings: Calculus and applications: Coderivatives of set-valued mappings: Calculus and applications

Authors: Boris S. Mordukhovich

Source: Nonlinear Analysis: Theory, Methods & Applications. 30:3059-3070

Subject Terms: coderivative, nonsmooth analysis, multivalued mapping, Nonsmooth analysis, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1114272
https://doi.org/10.1016/s0362-546x(96)00377-x
http://www.sciencedirect.com/science/article/pii/S0362546X9600377X
https://www.sciencedirect.com/science/article/pii/S0362546X9600377X

Chain rules for coderivatives of multivalued mappings in Banach spaces

Authors: Abderrahim Jourani Lionel Thibault

Source: Proceedings of the American Mathematical Society. 126:1479-1485

Subject Terms: coderivative, nonsmooth analysis, multivalued mapping, Nonsmooth analysis, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, chain rule, 0101 mathematics, 01 natural sciences, approximate subdifferential

File Description: application/xml

Access URL: https://www.ams.org/proc/1998-126-05/S0002-9939-98-04198-7/S0002-9939-98-04198-7.pdf
https://zbmath.org/1132410
https://doi.org/10.1090/s0002-9939-98-04198-7
https://www.ams.org/journals/proc/1998-126-05/S0002-9939-98-04198-7/home.html
https://www.ams.org/proc/1998-126-05/S0002-9939-98-04198-7/S0002-9939-98-04198-7.pdf

Differential properties in parametric optimal control with equilibrium constraints ; Tính chất vi phân trong điều khiển tối ưu có tham số với ràng buộc cân bằng

Authors: Nguyễn Thành Quí Mạc Lê Chí Đạo Đào Duy Phúc

Source: CTU Journal of Science; Vol. 59 No. 6 (2023); 16-24 ; Tạp chí Khoa học Đại học Cần Thơ; Tập. 59 Số. 6 (2023); 16-24 ; 2815-5599 ; 1859-2333

Subject Terms: Fréchet subdifferential, optimal control, coderivative, marginal function, elliptic partial differential equation, Dưới vi phân Fréchet, điều khiển tối ưu, đối đạo hàm, hàm giá trị tối ưu, phương trình đạo hàm riêng elliptic

File Description: application/pdf

Relation: https://ctujsvn.ctu.edu.vn/index.php/ctujsvn/article/view/5225/4549; https://ctujsvn.ctu.edu.vn/index.php/ctujsvn/article/view/5225

Availability: https://ctujsvn.ctu.edu.vn/index.php/ctujsvn/article/view/5225
https://doi.org/10.22144/ctujos.2023.207

Fuzzy calculus for coderivatives of multifunctions

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

Source: Nonlinear Analysis: Theory, Methods & Applications. 29:605-626

Subject Terms: Banach spaces, Fréchet coderivatives, quantitative estimates, 0211 other engineering and technologies, Set-valued and function-space-valued mappings on manifolds, set-valued mappings, 02 engineering and technology, 0101 mathematics, Set-valued operators, 01 natural sciences, multifunctions

File Description: application/xml

Access URL: http://pure.iiasa.ac.at/id/eprint/5090/
https://www.sciencedirect.com/science/article/pii/S0362546X9600082X

Coderivative and Graphical Derivative of the Metric Projection onto Closed Balls in Hilbert Spaces.

Authors: Hien, Le Van

Source: Set-Valued & Variational Analysis; Sep2025, Vol. 33 Issue 3, p1-21, 21p

Some results on the strict Fréchet differentiability of the metric projection operator in Hilbert spaces.

Authors: Van Hien, Le

Source: Optimization; Oct2025, Vol. 74 Issue 14, p3725-3745, 21p

Subject Terms: METRIC projections, HILBERT space, FRECHET spaces, METRIC spaces, MATHEMATICAL analysis, CONVEX sets, SPHERES, FUNCTIONAL analysis

Mixed Coderivatives of Set–Valued Mappings in Variational Analysis: Mixed coderivatives of set-valued mappings in variational analysis

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

Source: Journal of Applied Analysis. 4:269-294

Subject Terms: Banach space, variational analysis, multifunction, generalized differentiation, Nonsmooth analysis, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, Set-valued and function-space-valued mappings on manifolds, Lipschitzian stability, 0101 mathematics, 16. Peace & justice, 01 natural sciences, Asplund space

File Description: application/xml

Access URL: http://pure.iiasa.ac.at/id/eprint/5348/
https://www.degruyter.com/view/j/jaa.1998.4.issue-2/jaa.1998.269/jaa.1998.269.xml
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.baztech-article-LOD6-0012-0016