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

Calculus for directional limiting normal cones and subdifferentials

Authors: Benko, Matúš Gfrerer, Helmut Outrata, Jiri

Subject Terms: 0101 Pure Mathematics, Generalized differential calculus, Directional limiting normal cone, Directional limiting subdifferential, Qualification conditions

Relation: Set-Valued and Variational Analysis Vol. 27, no. 3 (2019), p. 713-745; http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/170519; vital:14132

Availability: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/170519
https://doi.org/10.1007/s11228-018-0492-5

On the directional asymptotic approach in optimization theory

Authors: Benko, Matúš Mehlitz, Patrick Austrian Science Fund et al.

Contributors: Benko, Matúš Mehlitz, Patrick Austrian Science Fund et al.

Source: Mathematical Programming ; volume 209, issue 1-2, page 859-937 ; ISSN 0025-5610 1436-4646

Availability: https://doi.org/10.1007/s10107-024-02089-w
https://link.springer.com/content/pdf/10.1007/s10107-024-02089-w.pdf
https://link.springer.com/article/10.1007/s10107-024-02089-w/fulltext.html

Exact Penalization and Optimality Conditions for Approximate Directional Minima

Authors: Chelmus, Teodor

Source: Taiwanese Journal of Mathematics, 2022 Feb 01. 26(1), 201-219.

Access URL: https://www.jstor.org/stable/27117793

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

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

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

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 computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications.

Authors: Gfrerer, Helmut Outrata, Jiří V.

Source: Optimization; Apr2016, Vol. 65 Issue 4, p671-700, 30p

Subject Terms: DERIVATIVES (Mathematics), MATHEMATICAL mappings, MATHEMATICAL inequalities, FRACTIONAL calculus, METRIC spaces

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

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

On Stability of M-stationary Points in MPCCs.

Authors: Červinka, Michal Outrata, Jiří Pištěk, Miroslav

Source: Set-Valued & Variational Analysis; Sep2014, Vol. 22 Issue 3, p575-595, 21p

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 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

Coderivative-based semi-Newton method in nonsmooth difference programming.

Authors: Aragón-Artacho, Francisco J. Mordukhovich, Boris S. Pérez-Aros, Pedro

Source: Mathematical Programming; Sep2025, Vol. 213 Issue 1/2, p385-432, 48p

Subject Terms: NONSMOOTH optimization, MATHEMATICAL optimization, VARIATIONAL inequalities (Mathematics), CALCULUS of variations, VARIATIONAL approach (Mathematics), NONLINEAR functions, NEWTON-Raphson method, BIOCHEMICAL models

People: NEWTON, Isaac, 1642-1727

OPTIMAL CONTROL OF IMPLICIT POLYHEDRAL SWEEPING PROCESSES INVOLVING THE CODERIVATIVE OF THE PROJECTION MAPPING.

Authors: ALSHARIEF, LAILA JOURANI, ABDERRAHIM

Source: SIAM Journal on Control & Optimization; 2025, Vol. 63 Issue 4, p2856-2886, 31p

Subject Terms: OPTIMAL control theory, METRIC projections, VARIATIONAL inequalities (Mathematics), SUBDIFFERENTIALS, LOTKA-Volterra equations, DIFFERENTIAL inclusions, POLYHEDRA

Calculus of directional subdifferentials and coderivatives in Banach spaces.

Authors: Long, Pujun Wang, Bingwu Yang, Xinmin

Source: Positivity; Mar2017, Vol. 21 Issue 1, p223-254, 32p

Subject Terms: CALCULUS, BANACH spaces, SUBDIFFERENTIALS, VARIATIONAL principles, DIRECTIONAL derivatives

Relative Well-Posedness of Truncated Constrained Systems Accompanied by Variational Calculus.

Authors: Mordukhovich, Boris S. Wu, Pengcheng Yang, Xiaoqi

Source: SIAM Journal on Optimization; 2025, Vol. 35 Issue 4, p2234-2264, 31p

Subject Terms: SENSITIVITY analysis, STABILITY theory, CALCULUS of variations, CONSTRAINED optimization, SUBDIFFERENTIALS, LIPSCHITZ continuity