Výsledky vyhledávání - Directional coderivative~

On the directional asymptotic approach in optimization theory

Autoři: Matúš Benko Patrick Mehlitz

Zdroj: Math Program

Témata: constraint qualifications, 49J52, 49J53, 49K27, 90C22, 90C30, 90C33, Full Length Paper, pseudo- and super-coderivatives, Nonsmooth analysis, Optimality conditions for problems in abstract spaces, pseudo- and quasi-normality, Nonlinear programming, directional limiting variational calculus, M-stationarity, asymptotic stationarity and regularity, Semidefinite programming, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), Mathematics - Optimization and Control, Set-valued and variational analysis

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2402.16530

Some Minimax Type Results Of Clarke's Generalized Directional Derivative And Point-Coderivative Of Multifunctions: Some minimax type results of Clarke's generalized directional derivative and point-coderivative of multifunctions

Autoři: G. Isac J. L. Li

Zdroj: Acta Mathematica Hungarica. 94:321-332

Témata: Fixed-point theorems, locally Lipschitz function, fixed point, Fixed-point and coincidence theorems (topological aspects), point-coderivative of multifunctions, Fan-KKM theorem, variational inequality, 0101 mathematics, Optimal control problems with differential inclusions (nec./ suff.), 01 natural sciences, Clarke's generalized directional derivative

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1870468
https://doi.org/10.1023/a:1015695629567
https://link.springer.com/article/10.1023/A:1015695629567

Calculus of directional coderivatives and normal cones in Asplund spaces

Autoři: Pujun Long Bingwu Wang Xinmin Yang

Zdroj: Positivity. 21:1115-1142

Témata: 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 16. Peace & justice, 01 natural sciences, 3. Good health

Přístupová URL adresa: https://link.springer.com/article/10.1007/s11117-016-0455-8/fulltext.html
https://link.springer.com/article/10.1007%2Fs11117-016-0455-8
https://link.springer.com/content/pdf/10.1007%2Fs11117-016-0455-8.pdf

Calculus of directional subdifferentials and coderivatives in Banach spaces

Autoři: Xinmin Yang Bingwu Wang Pujun Long

Zdroj: Positivity. 21:223-254

Témata: 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Přístupová URL adresa: https://link.springer.com/10.1007/s11117-016-0417-1
https://link.springer.com/article/10.1007/s11117-016-0417-1

Calculus of directional subdifferentials and coderivatives in Banach spaces.

Autoři: Long, Pujun Wang, Bingwu Yang, Xinmin

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

Témata: CALCULUS, BANACH spaces, SUBDIFFERENTIALS, VARIATIONAL principles, DIRECTIONAL derivatives

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

Autoři: Benko, Matúš Mehlitz, Patrick

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

Témata: 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.

Autoři: Hien, Le Van

Zdroj: Set-Valued & Variational Analysis; Sep2025, Vol. 33 Issue 3, p1-21, 21p

Calculus of directional coderivatives and normal cones in Asplund spaces.

Autoři: Long, Pujun Wang, Bingwu Yang, Xinmin

Zdroj: Positivity; Sep2017, Vol. 21 Issue 3, p1115-1142, 28p

Témata: ASPLUND spaces, CALCULUS, DERIVATIVES (Mathematics), SET-valued maps, SET theory, BANACH spaces

Mordukhovich Derivatives of Metric Projection Operator in Hilbert Spaces.

Autoři: Li, Jinlu

Zdroj: Journal of Optimization Theory & Applications; Dec2024, Vol. 203 Issue 3, p2649-2678, 30p

Témata: METRIC projections, HILBERT space, DIRECTIONAL derivatives

Strict Efficiency in Set Optimization Studied with the Set Approach.

Autoři: Ha, Truong Xuan Duc

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

Témata: DIRECTIONAL derivatives, SUBDIFFERENTIALS, SET-valued maps

Calculus of Dini subdifferentials of functions and contingent coderivatives of set-valued maps

Autoři: A. D. Ioffe

Zdroj: Nonlinear Analysis: Theory, Methods & Applications. 8:517-539

Témata: Optimality conditions, Derivatives of functions in infinite-dimensional spaces, Methods involving semicontinuity and convergence, relaxation, Lipschitz mapping, equivalent Gâteaux differentiable norm, Convex sets in topological linear spaces, Choquet theory, contingent coderivative of a set- valued map, 0211 other engineering and technologies, 02 engineering and technology, 01 natural sciences, Nonlinear programming, lower Dini directional derivative, Dini subdifferential, Lagrange multipler rule, 0101 mathematics, generalized derivatives

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/0362546X84900919

Sensitivity analysis of parametric vector equilibrium problems on Fréchet coderivative.

Autoři: Deng, Xicai Liu, Yibo Zhong, Chongyi

Zdroj: Journal of Inequalities & Applications; 11/17/2025, Vol. 2025 Issue 1, p1-12, 12p

Asplund 空间中方向上导数和序列法紧性质分析法则. (Chinese)

Alternate Title: Calculus of Normal Cones and Coderivatives Under the Assumption of Directional Inner Semicompactness in Asplund Spaces. (English)

Autoři: 龙莆均 杨新民 王炳武

Zdroj: Applied Mathematics & Mechanics (1000-0887); Apr2017, Vol. 38 Issue 4, p457-468, 12p

Exact Penalization and Optimality Conditions for Approximate Directional Minima

Autoři: Chelmus, Teodor

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

Přístupová URL adresa: https://www.jstor.org/stable/27117793

Higher-Order Radial Hadamard Directional Derivatives and Applications to Set-Valued Equilibrium Problems.

Autoři: Tang, Tian Yu, Guolin

Zdroj: Asia-Pacific Journal of Operational Research; Dec2024, Vol. 41 Issue 6, p1-24, 24p

Témata: DIRECTIONAL derivatives, SET-valued maps, EQUILIBRIUM

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

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

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

Témata: 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.

Autoři: ALSHARIEF, LAILA JOURANI, ABDERRAHIM

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

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

ON METRIC PSEUDO-REGULARITY OF MULTIFUNCTIONS.

Autoři: VAN VU NGUYEN HUU TRON NGUYEN

Zdroj: Applied Set-Valued Analysis & Optimization; 2025, Vol. 7 Issue 1, p93-110, 18p

Témata: MATHEMATICAL functions, SET-valued maps, BANACH spaces, VARIATIONAL principles, VECTOR spaces

Calculus for Directional Limiting Normal Cones and Subdifferentials.

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

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

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

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

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

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