Search Results - "coderivative calculus"

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

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

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

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

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

File Description: application/xml

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

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 (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

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

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

About Intrinsic Transversality of Pairs of Sets.

Authors: Kruger, Alexander Y.

Source: Set-Valued & Variational Analysis; Mar2018, Vol. 26 Issue 1, p111-142, 32p

DIFFERENTIABILITY OF PROBABILITY FUNCTIONS INVOLVING STAR-SHAPED VALUED SET-VALUED MAPS.

Authors: VAN ACKOOIJ, WIM PEREZ-AROS, PEDRO SOTO, CLAUDIA

Source: SIAM Journal on Optimization; 2025, Vol. 35 Issue 2, p1216-1245, 30p

Subject Terms: LIPSCHITZ continuity, DISTRIBUTION (Probability theory), SET-valued maps, DIFFERENTIABLE functions, SUBDIFFERENTIALS, RANDOM variables

On the directional asymptotic approach in optimization theory: The directional asymptotic approach: M. Benko, P. Mehlitz.

Authors: Benko, Matúš Mehlitz, Patrick

Source: Mathematical Programming; Jan2025, Vol. 209 Issue 1, p859-937, 79p

Subject Terms: CALCULUS of variations, SEMIDEFINITE programming, SET-valued maps, MATHEMATICAL optimization, SENSES, NONSMOOTH optimization

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

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

Sensitivity Analysis in Parametric Convex Vector Optimization.

Authors: An, Duong Thi Viet Tung, Le Thanh

Source: Set-Valued & Variational Analysis; Dec2024, Vol. 32 Issue 4, p1-23, 23p

Extremality of families of sets.

Authors: Cuong, Nguyen Duy Kruger, Alexander Y. Hieu Thao, Nguyen

Source: Optimization; Dec2024, Vol. 73 Issue 12, p3593-3607, 15p

Subject Terms: COLLECTIONS

Primal–Dual Stability in Local Optimality.

Authors: Benko, Matúš Rockafellar, R. Tyrrell

Source: Journal of Optimization Theory & Applications; Nov2024, Vol. 203 Issue 2, p1325-1354, 30p

Subject Terms: NONLINEAR programming, EQUATIONS

Generalized Sequential Normal Compactness and Weak Differentiabilities.

Authors: Wang, Bingwu Yang, Xinmin Long, Pujun

Source: Journal of Optimization Theory & Applications; Nov2024, Vol. 203 Issue 2, p1309-1324, 16p

Subject Terms: BANACH spaces, CALCULUS

A Notion of Fenchel Conjugate for Set-Valued Mappings.

Authors: Nam, Nguyen Mau Sandine, Gary Thieu, Nguyen Nang et al.

Source: Journal of Optimization Theory & Applications; Nov2024, Vol. 203 Issue 2, p1263-1292, 30p

Subject Terms: SET-valued maps, GEOMETRIC approach, CALCULUS, INSPIRATION