Suchergebnisse - "coderivatives"

On the directional asymptotic approach in optimization theory

Autoren: Matúš Benko Patrick Mehlitz

Quelle: Math Program

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2402.16530

Lipschitz-Like Property for Linear Constraint Systems

Autoren: Wenfang Yao Xiaoqi Yang Department of Applied Mathematics

Weitere Verfasser: Wenfang Yao Xiaoqi Yang Department of Applied Mathematics

Quelle: Journal of Optimization Theory and Applications. 199:1281-1296

Schlagwörter: Lipschitz-like property, Linear portfolio selection, Linear systems, Coderivatives

Variational analysis of paraconvex multifunctions

Autoren: Van Ngai, Huynh Tron, Nguyen Van Vu, Nguyen et al.

Schlagwörter: 4901 Applied mathematics, Approximate convex function, Coderivatives, Fréchet normal cone, Fréchet subdifferential, Fuzzy mean value theorem, Lower C2 functions, Paraconvexity, Paramonotonicity, Weak convexity

Relation: Journal of Optimization Theory and Applications Vol. 193, no. 1-3 (2022), p. 180-218; https://purl.org/au-research/grants/arc/DP160100854; http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/185174; vital:16646

Verfügbarkeit: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/185174
https://doi.org/10.1007/s10957-022-02021-2

On the application of the SCD semismooth* newton method to variational inequalities of the second kind

Autoren: Gfrerer, Helmut Outrata, Jiri Valdman, Jan

Schlagwörter: 4901 Applied mathematics, 4904 Pure mathematics, Coderivatives, Generalized equation, Global convergence, Newton method, Semismoothness∗, Superlinear convergence

Relation: Set-Valued and Variational Analysis Vol. 30, no. 4 (2022), p. 1453-1484; https://purl.org/au-research/grants/arc/DP160100854; http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/190383; vital:17580

Verfügbarkeit: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/190383
https://doi.org/10.1007/s11228-022-00651-2

Full Stability of General Parametric Variational Systems

Autoren: Tran T. A. Nghia Boris S. Mordukhovich D. T. Pham

Quelle: Set-Valued and Variational Analysis. 26:911-946

Schlagwörter: Prox-regularity, 49J53, 49J52, 90C31, 0211 other engineering and technologies, 02 engineering and technology, 01 natural sciences, Polyhedricity, Generalized differentiation, Optimization and Control (math.OC), Lipschitzian and Hölderian full stability, Variational inequalities and variational conditions, FOS: Mathematics, Legendre forms, Subgradients, Coderivatives, 0101 mathematics, Variational analysis, Parametric variational systems, Mathematics - Optimization and Control

Zugangs-URL: http://arxiv.org/pdf/1708.06631
http://arxiv.org/abs/1708.06631
https://link.springer.com/article/10.1007/s11228-018-0474-7

The Radius of Metric Regularity

Autoren: Dontchev, A. L. Lewis, A. S. Rockafellar, R. T.

Quelle: Transactions of the American Mathematical Society, 2003 Feb 01. 355(2), 493-517.

Zugangs-URL: https://www.jstor.org/stable/1194788

Variational Geometric Approach to Generalized Differential and Conjugate Calculi in Convex Analysis

Autoren: Mordukhovich B.S. Nam N.M. Rector R.B. et al.

Quelle: Set-Valued Analysis

Schlagwörter: Normals and subgradients, 0211 other engineering and technologies, Coderivatives, 02 engineering and technology, Convex calculus, 0101 mathematics, Convex and variational analysis, Optimal value functions, 01 natural sciences, Fenchel conjugates

Zugangs-URL: https://pdxscholar.library.pdx.edu/cgi/viewcontent.cgi?article=1206&context=mth_fac
https://openrepository.ru/article?id=255806
https://pdxscholar.library.pdx.edu/cgi/viewcontent.cgi?article=1206&context=mth_fac
https://pdxscholar.library.pdx.edu/mth_fac/204/
https://link.springer.com/article/10.1007%2Fs11228-017-0426-7

Chain Rules for Coderivatives of Multivalued Mappings in Banach Spaces

Autoren: Jourani, A. Thibault, L.

Quelle: Proceedings of the American Mathematical Society, 1998 May 01. 126(5), 1479-1485.

Zugangs-URL: https://www.jstor.org/stable/118803

Variational Geometric Approach to Generalized Differential and Conjugate Calculi in Convex Analysis

Autoren: Mordukhovich B.S. Nam N.M. Rector R.B. et al.

Quelle: Set-Valued Analysis

Schlagwörter: Coderivatives, Convex and variational analysis, Convex calculus, Fenchel conjugates, Normals and subgradients, Optimal value functions

Relation: https://doi.org/10.1007/s11228-017-0426-7; https://openrepository.ru/article?id=255806

Verfügbarkeit: https://openrepository.ru/article?id=255806

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

Subdifferential analysis of differential inclusions via discretization

Autoren: C. H. Jeffrey Pang

Quelle: Journal of Differential Equations. 253:203-224

Schlagwörter: Optimality conditions, Optimization and Control (math.OC), Differential inclusions, Reachable map, FOS: Mathematics, Coderivatives, 34A60, 49K05, 49K15, 49K40, 0101 mathematics, Mathematics - Optimization and Control, 01 natural sciences, Analysis, Subdifferential

Zugangs-URL: http://arxiv.org/abs/1112.2116
https://arxiv.org/abs/1112.2116
https://www.sciencedirect.com/science/article/pii/S0022039612001453
https://core.ac.uk/display/2240994
https://arxiv.org/pdf/1112.2116
http://ui.adsabs.harvard.edu/abs/2012JDE...253..203P/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0022039612001453

Qualification Conditions for Calculus Rules of Coderivatives of Multivalued Mappings: Qualification conditions for calculus rules of coderivatives of multivalued mappings

Autoren: Abderrahim Jourani L Thibault

Quelle: Journal of Mathematical Analysis and Applications. 218:66-81

Schlagwörter: Derivatives of functions in infinite-dimensional spaces, multivalued mappings with closed graphs, coderivatives of multivalued mappings, Applied Mathematics, Nonsmooth analysis, limiting Fréchet coderivatives, 0211 other engineering and technologies, 02 engineering and technology, 01 natural sciences, Asplund space, approximate coderivative, calculus rules, tangent cones, 0101 mathematics, Set-valued operators, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1123511
https://doi.org/10.1006/jmaa.1997.5733
https://www.sciencedirect.com/science/article/pii/S0022247X97957334
https://core.ac.uk/display/81126860
https://www.sciencedirect.com/science/article/abs/pii/S0022247X97957334

Quantitative stability of linear infinite inequality systems under block perturbations with applications to convex systems

Autoren: Cánovas Cánovas, María Josefa López Cerdá, Marco A. Mordukhovich, Boris S. et al.

Weitere Verfasser: Cánovas Cánovas, María Josefa López Cerdá, Marco A. Mordukhovich, Boris S. et al.

Quelle: RUA. Repositorio Institucional de la Universidad de Alicante
Universidad de Alicante (UA)

Schlagwörter: Convex infinite inequality systems, 0211 other engineering and technologies, 02 engineering and technology, Parametric optimization, Quantitative stability, Lipschitzian bounds, Generalized differentiation, Optimization and Control (math.OC), Estadística e Investigación Operativa, Semi-infinite and infinite programming, FOS: Mathematics, Block perturbations, Coderivatives, Variational analysis, Mathematics - Optimization and Control

Zugangs-URL: https://researchonline.federation.edu.au/vital/access/services/Download/vital:13356/SOURCE1
http://arxiv.org/abs/1102.2032
http://hdl.handle.net/10045/33782
http://rua.ua.es/dspace/handle/10045/33782
https://rd.springer.com/article/10.1007%2Fs11750-011-0226-4
https://ideas.repec.org/a/spr/topjnl/v20y2012i2p310-327.html
http://core.ac.uk/display/18587042
https://EconPapers.repec.org/RePEc:spr:topjnl:v:20:y:2012:i:2:p:310-327
https://digitalcommons.wayne.edu/math_reports/85/
https://hdl.handle.net/10045/33782

Second-Order Analysis of Polyhedral Systems in Finite and Infinite Dimensions with Applications to Robust Stability of Variational Inequalities

Autoren: Henrion, René Mau Nam, Nguyen Mordukhovich, Boris S.

Quelle: SIAM Journal on Optimization. 20:2199-2227

Schlagwörter: ddc:510, Variational analysis and optimization -- reflexive Banach spaces -- polyhedral sets -- parametric variational inequalities -- robust stability -- generalized differentiation -- coderivatives and second-order subdifferentials, 58C20, article, 0211 other engineering and technologies, 02 engineering and technology, 49J52, 49K40

Zugangs-URL: https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=1063&context=math_reports

Variational Analysis in Semi-Infinite and Infinite Programming, II: Necessary Optimality Conditions

Autoren: Cánovas Cánovas, María Josefa López Cerdá, Marco A. Mordukhovich, Boris S. et al.

Weitere Verfasser: Cánovas Cánovas, María Josefa López Cerdá, Marco A. Mordukhovich, Boris S. et al.

Quelle: RUA. Repositorio Institucional de la Universidad de Alicante
Universidad de Alicante (UA)

Schlagwörter: Parametric optimization, Generalized differentiation, Estadística e Investigación Operativa, Semi-infinite and infinite programming, 0211 other engineering and technologies, Lower and upper subdifferentials, Linear infinite inequality systems, Coderivatives, 02 engineering and technology, Necessary optimality conditions, Variational analysis

Zugangs-URL: https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=1067&context=math_reports
http://hdl.handle.net/10045/75130
https://epubs.siam.org/doi/abs/10.1137/09076595X
https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=1067&context=math_reports
https://locus.siam.org/doi/abs/10.1137/09076595X
https://dblp.uni-trier.de/db/journals/siamjo/siamjo20.html#CanovasLMP10
https://dl.acm.org/doi/abs/10.1137/09076595X
https://digitalcommons.wayne.edu/math_reports/68/
https://hdl.handle.net/10045/75130

Variational Analysis in Semi-Infinite and Infinite Programming, I: Stability of Linear Inequality Systems of Feasible Solutions

Autoren: Cánovas Cánovas, María Josefa López Cerdá, Marco A. Mordukhovich, Boris S. et al.

Weitere Verfasser: Cánovas Cánovas, María Josefa López Cerdá, Marco A. Mordukhovich, Boris S. et al.

Quelle: RUA. Repositorio Institucional de la Universidad de Alicante
Universidad de Alicante (UA)

Schlagwörter: Generalized differentiation, Estadística e Investigación Operativa, Semi-infinite and infinite programming, 0211 other engineering and technologies, Linear infinite inequality systems, Coderivatives, 02 engineering and technology, Variational analysis, Robust stability

Zugangs-URL: https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=1066&context=math_reports
http://hdl.handle.net/10045/75133
https://hdl.handle.net/10045/75133

Variational analysis of extended generalized equations via coderivative calculus in Asplund spaces

Autoren: Boris S. Mordukhovich Nguyen Mau Nam

Quelle: Journal of Mathematical Analysis and Applications. 350:663-679

Schlagwörter: Generalized equations, Generalized differentiation, Asplund spaces, Applied Mathematics, 0211 other engineering and technologies, Coderivatives, Lipschitzian stability, 02 engineering and technology, 0101 mathematics, Variational analysis, 01 natural sciences, Analysis

Zugangs-URL: https://www.sciencedirect.com/science/article/pii/S0022247X08005647
https://core.ac.uk/display/82473233

Some Variants of the Ekeland Variational Principle for a Set-Valued Map: Some variants of the Ekeland variational principle for a set-valued map

Autoren: Truong Xuan Duc Ha

Quelle: Journal of Optimization Theory and Applications. 124:187-206

Schlagwörter: set-valued maps, Nonsmooth analysis, 0211 other engineering and technologies, Ekeland variational principle, 02 engineering and technology, stability, 0101 mathematics, Mordukhovich coderivatives, 01 natural sciences, Set-valued and variational analysis

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1007/s10957-004-6472-y
https://dl.acm.org/doi/10.1007/s10957-004-6472-y

Coderivative Analysis of Variational Systems: Coderivative analysis of variational systems

Autoren: Boris S. Mordukhovich

Quelle: Journal of Global Optimization. 28:347-362

Schlagwörter: variational analysis, generalized differentiation, Nonsmooth analysis, 0211 other engineering and technologies, coderivatives, infinite-dimensional spaces, Lipschitzian stability, 02 engineering and technology, 0101 mathematics, metric regularity, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1023%2FB%3AJOGO.0000026454.56343.b9

Coderivatives in parametric optimization

Autoren: Boris S. Mordukhovich Adam B. Levy

Quelle: Mathematical Programming. 99:311-327

Schlagwörter: variational analysis, parametric optimization, Sensitivity, stability, parametric optimization, generalized differentiation, Nonsmooth analysis, 0211 other engineering and technologies, coderivatives, Lipschitzian stability, 02 engineering and technology, 0101 mathematics, sensitivity, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2077961
https://doi.org/10.1007/s10107-003-0452-0
https://link.springer.com/content/pdf/10.1007%2Fs10107-003-0452-0.pdf
https://dblp.uni-trier.de/db/journals/mp/mp99.html#LevyM04