Search Results - coderivative calculus

Variational analysis of extended generalized equations via coderivative calculus in Asplund spaces

Authors: Boris S. Mordukhovich Nguyen Mau Nam

Source: Journal of Mathematical Analysis and Applications. 350:663-679

Subject Terms: Generalized equations, Generalized differentiation, Asplund spaces, Applied Mathematics, 0211 other engineering and technologies, Coderivatives, Lipschitzian stability, 02 engineering and technology, 0101 mathematics, Variational analysis, 01 natural sciences, Analysis

Access URL: https://www.sciencedirect.com/science/article/pii/S0022247X08005647
https://core.ac.uk/display/82473233

Well-Posedness and Coderivative Calculus

Authors: Boris S. Mordukhovich

Source: Springer Monographs in Mathematics ISBN: 9783319927732

Access URL: https://link.springer.com/chapter/10.1007/978-3-319-92775-6_3
https://rd.springer.com/chapter/10.1007/978-3-319-92775-6_3

Coderivative calculus and metric regularity for constraint and variational systems

Authors: W. Geremew Boris S. Mordukhovich Nguyen Mau Nam

Source: Nonlinear Analysis: Theory, Methods & Applications. 70:529-552

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

Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0362546X07008565

Subdifferentials and Coderivatives of Efficient Point Multifunctions in Parametric Convex Vector Optimization.

Authors: An, Duong Thi Viet Hung, Nguyen Huy Van Tuyen, Nguyen

Source: Journal of Optimization Theory & Applications. Aug2024, Vol. 202 Issue 2, p745-770. 26p.

Subject Terms: *SUBDIFFERENTIALS, *SENSITIVITY analysis, *CALCULUS, *EQUILIBRIUM

A survey of subdifferential calculus with applications

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

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

Subject Terms: 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

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

CODERIVATIVE ANALYSIS OF QUASI-VARIATIONAL INEQUALITIES WITH APPLICATIONS TO STABILITY AND OPTIMIZATION.

Authors: Mordukhovich, Boris S. Outrata, Jiří V.

Source: SIAM Journal on Optimization; 2007, Vol. 18 Issue 2, p389-412, 24p, 1 Diagram

Subject Terms: EQUILIBRIUM, MATHEMATICAL inequalities, MATHEMATICAL optimization, EQUATIONS, MATHEMATICS, CALCULUS

Conditioning of linear-quadratic two-stage stochastic optimization problems

Authors: Emich, Konstantin Henrion, René Römisch, Werner et al.

Contributors: Emich, Konstantin Henrion, René Römisch, Werner et al.

Source: Mathematical Programming. 148:201-221

Subject Terms: ddc:510, coderivative calculus, Stochastic optimization, article, 0211 other engineering and technologies, simple recourse, 510 Mathematik, 90C31, 02 engineering and technology, stochastic optimization, 16. Peace & justice, two-stage linear-quadratic problems, 90C15, conditioning, Stochastic optimization -- two-stage linear-quadratic problems -- conditioning -- coderivative calculus -- simple recourse, 49K40

File Description: application/pdf

Access URL: http://www-iam.mathematik.hu-berlin.de/~romisch/papers/conditioningfinal.pdf
https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/1213
https://link.springer.com/article/10.1007/s10107-013-0734-0
https://rd.springer.com/article/10.1007%2Fs10107-013-0734-0
http://www.wias-berlin.de/people/henrion/conditioning_final.pdf
https://core.ac.uk/display/22563527
http://www.mathematik.hu-berlin.de/~romisch/papers/conditioningfinal.pdf

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

A survey of subdifferential calculus with applications (addendum)

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

Subject Terms: 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

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

Variational Stability and Marginal Functions via Generalized Differentiation.

Authors: Mordukhovich, Boris S. Nguyen Mau Nam

Source: Mathematics of Operations Research; Nov2005, Vol. 30 Issue 4, p800-816, 17p

Subject Terms: MATHEMATICAL functions, MATHEMATICAL optimization, CALCULUS, MATHEMATICAL mappings, SUBDIFFERENTIALS, INFINITE dimensional Lie algebras

Coderivative Analysis of Variational Systems.

Authors: Boris S. Mordukhovich

Source: Journal of Global Optimization; Apr2004, Vol. 28 Issue 3, p347-362, 16p

Book review on "Convex Analysis and Beyond. Volume I: Basic Theory", a monograph by Boris S. Mordukhovich and Nguyen Mau Nam: Springer Series in Operations Research and Financial Engineering, Springer, Switzerland, 2022; xvii+585 pp., with 42 figures and 368 references

Authors: Yen, Nguyen Dong

Source: Journal of Global Optimization; Jan2023, Vol. 85 Issue 1, p251-255, 5p

Subject Terms: OPERATIONS research, FINANCIAL engineering, VECTOR topology, MATHEMATICAL series, CALCULUS of variations, IMAGE reconstruction algorithms, MATHEMATICAL economics

Coderivative necessary optimality conditions for sharp and robust efficiencies in vector optimization with variable ordering structure.

Authors: Florea, Elena-Andreea¹

Source: Optimization. Jul2016, Vol. 65 Issue 7, p1417-1435. 19p.

Subject Terms: *DERIVATIVES (Mathematics), *ROBUST statistics, *VECTOR analysis, *MATHEMATICAL variables, *MATHEMATICAL optimization

Restrictive metric regularity and generalized differential calculus in Banach spaces

Authors: Boris S. Mordukhovich Bingwu Wang

Source: International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 50, Pp 2653-2680 (2004)

Subject Terms: Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/0161-1712; https://doaj.org/toc/1687-0425

Access URL: https://doaj.org/article/73b2056252d4417a88fc0eaf1569a541

Sensitivity Analysis for Variational Systems.

Authors: Pardalos, Panos Giannessi, Franco Maugeri, Antonino et al.

Source: Variational Analysis & Applications. 2005, p723-743. 21p.

Full Calculus in Asplund Spaces.

Authors: Berger, M. Eckmann, B. de la Harpe, P. et al.

Source: Variational Analysis & Generalized Differentiation I. 2006, p261-375. 115p.

Characterizations of Well-Posedness and Sensitivity Analysis.

Authors: Berger, M. Eckmann, B. de la Harpe, P. et al.

Source: Variational Analysis & Generalized Differentiation I. 2006, p377-475. 99p.

CODERIVATIVES OF EFFICIENT POINT MULTIFUNCTIONS IN PARAMETRIC VECTOR OPTIMIZATION

Authors: Chuong, Thai Doan Yao, Jen-Chih

Source: Taiwanese Journal of Mathematics, 2009 Dec 01. 13(6A), 1671-1693.

Access URL: https://www.jstor.org/stable/43834620

Fréchet vector subdifferential calculus

Authors: Bao, Truong Quang

Source: Carpathian Journal of Mathematics, 2020 Jan 01. 36(1), 15-26.

Access URL: https://www.jstor.org/stable/26898778

Chain Rules for Coderivatives of Multivalued Mappings in Banach Spaces

Authors: Jourani, A. Thibault, L.

Source: Proceedings of the American Mathematical Society, 1998 May 01. 126(5), 1479-1485.

Access URL: https://www.jstor.org/stable/118803