Suchergebnisse - (("limiting coderivatives") OR ("lighting coderivatives"))

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

Autoren: Helmut Gfrerer Jiří V. Outrata

Quelle: Optimization. 65:671-700

Schlagwörter: 0211 other engineering and technologies, 49J53, 90C31, 90C46, 02 engineering and technology, 0101 mathematics, Mathematics - Optimization and Control, 01 natural sciences

Zugangs-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

Autoren: Gfrerer, Helmut Outrata, Ji���� V.

Schlagwörter: Optimization and Control (math.OC), FOS: Mathematics, 49J53, 90C31, 90C46

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

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

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

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

The Least Singular Value Function in Variational Analysis.

Autoren: Jelitte, Mario Mordukhovich, Boris S.

Quelle: Set-Valued & Variational Analysis; Sep2025, Vol. 33 Issue 3, p1-33, 33p

Second-Order Studniarski Derivatives: Computation and Application.

Autoren: Jelitte, Mario

Quelle: Set-Valued & Variational Analysis; Sep2025, Vol. 33 Issue 3, p1-24, 24p

Stability criteria and calculus rules via conic contingent coderivatives in Banach spaces.

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

Quelle: Optimization; Sep2025, Vol. 74 Issue 11, p2577-2610, 34p

Schlagwörter: STABILITY criterion, BANACH spaces, LIPSCHITZ continuity, CALCULUS of variations, SET-valued maps, VARIATIONAL approach (Mathematics), MATHEMATICAL optimization

Understanding Qualitative Robust Stability of Composite Variational Systems.

Autoren: Adly, Samir

Quelle: Set-Valued & Variational Analysis; Jun2025, Vol. 33 Issue 2, p1-31, 31p

SECOND-ORDER SUBDIFFERENTIAL OPTIMALITY CONDITIONS IN NONSMOOTH OPTIMIZATION.

Autoren: KHANH, P. D. KHOA, V. V. H. MORDUKHOVICH, B. S. et al.

Quelle: SIAM Journal on Optimization; 2025, Vol. 35 Issue 2, p678-711, 34p

Schlagwörter: NONSMOOTH optimization, NONLINEAR programming, SUBDIFFERENTIALS, HESSIAN matrices, VARIATIONAL approach (Mathematics)

On Second-Order Variational Analysis of Variational Convexity of Prox-Regular Functions.

Autoren: Gfrerer, Helmut

Quelle: Set-Valued & Variational Analysis; Mar2025, Vol. 33 Issue 1, p1-26, 26p

A General Perturbed Newtonian Framework and Critical Solutions of Nonlinear Equations.

Autoren: Izmailov, Alexey Solodov, Mikhail

Quelle: Set-Valued & Variational Analysis; Mar2025, Vol. 33 Issue 1, p1-27, 27p

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

Autoren: Benko, Matúš Mehlitz, Patrick

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

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

A survey of subdifferential calculus with applications

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

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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

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

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

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

Schlagwörter: SET-valued maps, EQUILIBRIUM

On Local Behavior of Newton-Type Methods Near Critical Solutions of Constrained Equations.

Autoren: Izmailov, A. F. Solodov, M. V.

Quelle: Journal of Optimization Theory & Applications; Nov2024, Vol. 203 Issue 2, p1103-1126, 24p

Schlagwörter: COMPLEMENTARITY constraints (Mathematics), NONLINEAR equations, RATE setting, EQUATIONS, NONEXPANSIVE mappings

Notes on the value function approach to multiobjective bilevel optimization.

Autoren: Hoff, Daniel Mehlitz, Patrick

Quelle: Optimization; Oct2024, Vol. 73 Issue 10, p3147-3183, 37p

Schlagwörter: BILEVEL programming, PROBLEM solving

VARIATIONAL AND STRONG VARIATIONAL CONVEXITY IN INFINITE-DIMENSIONAL VARIATIONAL ANALYSIS.

Autoren: KHANH, P. D. KHOA, V. V. H. MORDUKHOVICH, B. S. et al.

Quelle: SIAM Journal on Optimization; 2024, Vol. 34 Issue 3, p2756-2787, 32p

Schlagwörter: BANACH spaces

Role of Subgradients in Variational Analysis of Polyhedral Functions.

Autoren: Hang, Nguyen T. V. Jung, Woosuk Sarabi, Ebrahim

Quelle: Journal of Optimization Theory & Applications; Mar2024, Vol. 200 Issue 3, p1160-1192, 33p

Schlagwörter: CONVEX functions, POLYHEDRAL functions

Projectional Coderivatives and Calculus Rules.

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

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

A Generalized Newton Method for Subgradient Systems.

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

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

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

Firma/Körperschaft: AUSTRALIAN Research Council

Nonlinear metric regularity on fixed sets.

Autoren: Tron, Nguyen Huu Han, Dao Ngoc Ngai, Huynh Van

Quelle: Optimization; Jun2023, Vol. 72 Issue 6, p1515-1548, 34p

Schlagwörter: SET-valued maps