Search Results - "directional limiting coderivative"

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

Authors: Gfrerer, Helmut Outrata, Jiri

Subject Terms: 0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, 49J53, 90C31, 90C46, Aubin property, directional limiting coderivative, parameterized variational system, Solution map

Relation: Optimization Vol. 69, no. 7-8 (2020), p. 1681-1701; http://purl.org/au-research/grants/arc/DP160100854; http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/174336; vital:14824; https://doi.org/10.1080/02331934.2019.1657427

Availability: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/174336
https://doi.org/10.1080/02331934.2019.1657427

On lipschitzian properties of implicit multifunctions

Authors: Gfrerer, Helmut Outrata, Jiri

Subject Terms: 0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, Aubin property, Calmness, Directional limiting coderivative, Solution map, Software engineering, Aubin properties, Fine analysis, Implicit function, Implicit multifunctions, Lipschitzian, Nocv1, Polyhedral set, Computer science

Relation: SIAM Journal on Optimization Vol. 26, no. 4 (2016), p. 2160-2189; http://purl.org/au-research/grants/arc/DP160100854; http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154327; vital:11091; https://doi.org/10.1137/15M1052299

Availability: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/154327
https://doi.org/10.1137/15M1052299

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 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

On New Generalized Differentials with Respect to a Set and Their Applications.

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

Source: Set-Valued & Variational Analysis; Sep2024, Vol. 32 Issue 3, p1-27, 27p

Projectional Coderivatives and Calculus Rules.

Authors: Yao, Wenfang Meng, Kaiwen Li, Minghua et al.

Source: Set-Valued & Variational Analysis; Dec2023, Vol. 31 Issue 4, p1-27, 27p

A Generalized Newton Method for Subgradient Systems.

Authors: Duy Khanh, Pham Mordukhovich, Boris Phat, Vo Thanh

Source: Mathematics of Operations Research; Nov2023, Vol. 48 Issue 4, p1811-1845, 35p

Subject Terms: NEWTON-Raphson method, SUBGRADIENT methods, SCIENCE education, DIFFERENTIABLE functions, CALCULUS, RESEARCH grants

Company/Entity: AUSTRALIAN Research Council

RELATIVE LIPSCHITZ-LIKE PROPERTY OF PARAMETRIC SYSTEMS VIA PROJECTIONAL CODERIVATIVES.

Authors: WENFANG YAO XIAOQI YANG

Source: SIAM Journal on Optimization; 2023, Vol. 33 Issue 3, p2021-2040, 20p

Subject Terms: LINEAR complementarity problem, LINEAR operators

Generalized damped Newton algorithms in nonsmooth optimization via second-order subdifferentials.

Authors: Khanh, Pham Duy Mordukhovich, Boris S. Phat, Vo Thanh et al.

Source: Journal of Global Optimization; May2023, Vol. 86 Issue 1, p93-122, 30p

Subject Terms: OPTIMIZATION algorithms, NONSMOOTH optimization, SUBDIFFERENTIALS, COST functions, DIFFERENTIABLE functions, MACHINE learning

Second-Order Optimality Conditions for Nonconvex Set-Constrained Optimization Problems.

Authors: Gfrerer, Helmut Ye, Jane J. Zhou, Jinchuan

Source: Mathematics of Operations Research; Aug2022, Vol. 47 Issue 3, p2344-2365, 22p

Subject Terms: DUALITY theory (Mathematics), TANGENT function

Calmness and Calculus: Two Basic Patterns.

Authors: Benko, Matúš Mehlitz, Patrick

Source: Set-Valued & Variational Analysis; Mar2022, Vol. 30 Issue 1, p81-117, 37p

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 A SEMISMOOTH* NEWTON METHOD FOR SOLVING GENERALIZED EQUATIONS.

Authors: GFRERER, HELMUT OUTRATA, JIRI V.

Source: SIAM Journal on Optimization; 2021, Vol. 31 Issue 1, p489-517, 29p

Subject Terms: NEWTON-Raphson method, EQUATIONS

The Radius of Metric Subregularity.

Authors: Dontchev, Asen L. Gfrerer, Helmut Kruger, Alexander Y. et al.

Source: Set-Valued & Variational Analysis; Sep2020, Vol. 28 Issue 3, p451-473, 23p

Stability Analysis for Parameterized Variational Systems with Implicit Constraints.

Authors: Benko, Matúš Gfrerer, Helmut Outrata, Jiří V.

Source: Set-Valued & Variational Analysis; Mar2020, Vol. 28 Issue 1, p167-193, 27p

Computation of Graphical Derivatives of Normal Cone Maps to a Class of Conic Constraint Sets.

Authors: Liu, Yulan Sun, Ying Pan, Shaohua

Source: Set-Valued & Variational Analysis; Sep2019, Vol. 27 Issue 3, p783-806, 24p

Calculus for Directional Limiting Normal Cones and Subdifferentials.

Authors: Benko, Matúš Gfrerer, Helmut Outrata, Jiří V.

Source: Set-Valued & Variational Analysis; Sep2019, Vol. 27 Issue 3, p713-745, 33p

Metric subregularity and/or calmness of the normal cone mapping to the p-order conic constraint system.

Authors: Sun, Ying Pan, Shaohua Bi, Shujun

Source: Optimization Letters; Jul2019, Vol. 13 Issue 5, p1095-1110, 16p

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

Lipschitz and Hölder stability of optimization problems and generalized equations.

Authors: Gfrerer, Helmut Klatte, Diethard

Source: Mathematical Programming; Jul2016, Vol. 158 Issue 1/2, p35-75, 41p

Subject Terms: LIPSCHITZ spaces, MATHEMATICAL optimization, MATHEMATICAL programming, NONLINEAR programming, GENERALIZED estimating equations