Search Results - (( limiting coderivatives ) OR ( lighting coderivatives ))

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

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

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

Strict Efficiency in Set Optimization Studied with the Set Approach.

Authors: Ha, Truong Xuan Duc¹ (AUTHOR) hatxd@thanglong.edu.vn

Source: Journal of Optimization Theory & Applications. May2025, Vol. 205 Issue 2, p1-20. 20p.

Subject Terms: *DIRECTIONAL derivatives, *SUBDIFFERENTIALS, *SET-valued maps

Formulas for Calculating Generalized Differentials with Respect to a Set and Their Applications.

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

Source: Journal of Optimization Theory & Applications. Dec2024, Vol. 203 Issue 3, p2784-2817. 34p.

Subject Terms: *SET-valued maps, *EQUILIBRIUM

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

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

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

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

A Coderivative Approach to the Robust Stability of Composite Parametric Variational Systems: Applications in Nonsmooth Mechanics.

Authors: Adly, Samir¹ samir.adly@unilim.fr

Source: Journal of Optimization Theory & Applications. Jan2019, Vol. 180 Issue 1, p62-90. 29p.

Subject Terms: *ROBUST stability analysis, *PARAMETER estimation, *NONSMOOTH optimization, *CALCULUS of variations, *PROBLEM solving

On the Aubin property of solution maps to parameterized variational systems with implicit constraints.

Authors: Gfrerer, Helmut Outrata, Jiří V.

Source: Optimization. Jul-Aug2020, Vol. 69 Issue 7/8, p1681-1701. 21p.

Subject Terms: *COMPLEMENTARITY constraints (Mathematics)

Lipschitz-like property relative to a set and the generalized Mordukhovich criterion.

Authors: Meng, K. W. Li, M. H. Yao, W. F. et al.

Source: Mathematical Programming. Sep2021, Vol. 189 Issue 1/2, p455-489. 35p.

Subject Terms: *SET-valued maps, *CONVEX sets, *CONES

On the Aubin property of a class of parameterized variational systems.

Authors: Gfrerer, H. Outrata, J.

Source: Mathematical Methods of Operations Research; Dec2017, Vol. 86 Issue 3, p443-467, 25p, 1 Graph

Subject Terms: VARIATIONAL inequalities (Mathematics), PARAMETERIZATION, MATHEMATICAL mappings, DERIVATIVES (Mathematics), CALCULUS

On the Aubin property of a class of parameterized variational systems

Authors: Gfrerer, Helmut Outrata, Jiri

Subject Terms: 0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, 0802 Computation Theory and Mathematics, Aubin property, Directional limiting coderivative, Graphical derivative, Solution map

Relation: Mathematical Methods of Operations Research Vol. 86, no. 3 (2017), p. 443-467; http://purl.org/au-research/grants/arc/DP160100854; http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/164132; vital:13000

Availability: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/164132
https://doi.org/10.1007/s00186-017-0596-y

ON LIPSCHITZIAN PROPERTIES OF IMPLICIT MULTIFUNCTIONS.

Authors: GFRERER, HELMUT OUTRATA, JIŘÍ V.

Source: SIAM Journal on Optimization. 2016, Vol. 26 Issue 4, p2160-2189. 30p.

Subject Terms: *DERIVATIVES (Mathematics), *MATHEMATICAL functions, *MATHEMATICAL mappings, *SET theory, *PROBLEM solving

Optimality conditions for robust nonsmooth multiobjective optimization problems in Asplund spaces.

Authors: Saadati, Maryam Oveisiha, Morteza

Source: Bulletin of the Belgian Mathematical Society - Simon Stevin. May2022, Vol. 28 Issue 4, p579-601. 23p.

Subject Terms: *NONSMOOTH optimization, *SUBDIFFERENTIALS

Directionally generalized differentiation for multifunctions and applications to set-valued programming problems.

Authors: Thinh, Vo Duc Chuong, Thai Doan

Source: Annals of Operations Research. Oct2018, Vol. 269 Issue 1/2, p727-751. 25p.

Subject Terms: *DIFFERENTIATION (Mathematics), *MATHEMATICAL optimization, *MATHEMATICAL programming, *SUBDIFFERENTIALS, *EXISTENCE theorems

Codifferential Calculus.

Authors: Li, Shengjie Penot, Jean-Paul Xue, Xiaowei

Source: Set-Valued & Variational Analysis; Dec2011, Vol. 19 Issue 4, p505-536, 32p

On regular coderivatives in parametric equilibria with non-unique multipliers.

Authors: Henrion, R. Outrata, J. Surowiec, T.

Source: Mathematical Programming. Nov2012, Vol. 136 Issue 1, p111-131. 21p.

Subject Terms: *DERIVATIVES (Mathematics), *MULTIPLIERS (Mathematical analysis), *MATHEMATICAL mappings, *SET theory, *MATHEMATICAL inequalities, *MATHEMATICAL constants, *LINEAR systems, *MATHEMATICAL analysis

Extensions of generalized differential calculus in Asplund spaces

Authors: Bingwu Wang Boris S. Mordukhovich

Source: Journal of Mathematical Analysis and Applications. 272:164-186

Subject Terms: Calculus of functions on infinite-dimensional spaces, generalized differential calculus, Asplund spaces, Applied Mathematics, Nonsmooth analysis, coderivatives, set-valued mappings, 0101 mathematics, subdifferentials, 01 natural sciences, normal cones, Analysis, Set-valued and variational analysis

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Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0022247X0200149X
https://www.sciencedirect.com/science/article/pii/S0022247X0200149X