Search Results - derivatives AND coderivatives

Frechet and Mordukhovich Derivative (Coderivative) and Covering Constant for Single-Valued Mapping in Euclidean Space with Application (II)

Authors: Li, Jinlu

Subject Terms: FOS: Mathematics, 49J52, 49J53, 47H10, 90C31, Functional Analysis, Functional Analysis (math.FA)

Access URL: http://arxiv.org/abs/2508.10766
http://arxiv.org/abs/2508.11118

Coderivative and Graphical Derivative of the Metric Projection onto Closed Balls in Hilbert Spaces

Authors: Le Van Hien

Source: Set-Valued and Variational Analysis. 33

Regular Coderivative and Graphical Derivative of the Metric Projection onto closed Balls in Hilbert spaces

Authors: Van Hien, Le

Subject Terms: Mathematics - Functional Analysis, FOS: Mathematics, Functional Analysis (math.FA)

Access URL: http://arxiv.org/abs/2406.18377

Additive derivative and multiplicative coderivative operators on MV-algebras

Authors: Hamal, Ahmet

Source: TURKISH JOURNAL OF MATHEMATICS. 43:879-893

Subject Terms: Matematik, topological Boolean algebra, 0101 mathematics, Derivative MV-algebra, additive derivative operator, 01 natural sciences, closure MV-algebra

Access URL: https://hdl.handle.net/11454/67071
https://doi.org/10.3906/mat-1810-8
https://app.trdizin.gov.tr//makale/TXpNMU5qTXhNUT09
https://hdl.handle.net/11454/29547
https://doi.org/10.3906/mat-1810-8

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

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

Authors: G. Isac J. L. Li

Source: Acta Mathematica Hungarica. 94:321-332

Subject Terms: 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

File Description: application/xml

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

A Derivative-Coderivative Inclusion in Second-Order Nonsmooth Analysis: A derivative-coderivative inclusion in second-order nonsmooth analysis

Authors: D. Zagrodny R. T. Rockafellar

Source: Set-Valued Analysis. 5:89-105

Subject Terms: subgradient mappings, graphical differentiation, Nonsmooth analysis, 0211 other engineering and technologies, 02 engineering and technology, generalized Hessian, nonsmooth functions, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1045421
https://doi.org/10.1023/a:1008662404582
http://www.math.washington.edu/~rtr/papers/rtr165-DerivativeCoderivative.pdf
https://link.springer.com/article/10.1023/A:1008662404582
https://www.math.washington.edu/~rtr/papers/rtr165-DerivativeCoderivative.pdf

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

Authors: Abderrahim Jourani L Thibault

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

Subject Terms: 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

File Description: application/xml

Access 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

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

Viscosity Coderivatives and Their Limiting Behavior in Smooth Banach Spaces: Viscosity coderivatives and their limiting behavior in smooth Banach spaces.

Authors: Yongheng Shao Boris S. Mordukhovich Qiji Zhu

Source: Positivity. 4:1-39

Subject Terms: set-valued and nonsmooth mappings, Derivatives of functions in infinite-dimensional spaces, Nonsmooth analysis, Differentiation theory (Gateaux, Fréchet, etc.) on manifolds, Set-valued and function-space-valued mappings on manifolds, 0101 mathematics, viscosity coderivatives, 01 natural sciences, Set-valued and variational analysis, multifunctions

File Description: application/xml

Access URL: https://zbmath.org/1428433
https://doi.org/10.1023/a:1009881924265
https://link.springer.com/content/pdf/10.1023/A:1009881924265.pdf
https://link.springer.com/article/10.1023/A:1009881924265

Approximate subgradients and coderivatives in R n: Approximate subgradients and coderivatives in \(R^ n\)

Authors: Borwein, D. Borwein, J. M. Wang, Xianfu

Source: Set-Valued Analysis. 4:375-398

Subject Terms: coderivative, Mordukhovich-Ioffe coderivatives, Lipschitz function, Lebesgue measure, subgradients, Nonsmooth analysis, nowhere dense set, subgradient, Convex sets in \(n\) dimensions (including convex hypersurfaces), Fréchet and Gateaux differentiability in optimization, 01 natural sciences, bump function, disconnectedness, Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives, generalized Jacobian, vector-valued Lipschitz functions, gauge, guage, Calculus of vector functions, 0101 mathematics

File Description: application/xml

Access URL: https://zbmath.org/980809
https://doi.org/10.1007/bf00436112
https://link.springer.com/article/10.1007%2FBF00436112
http://docserver.carma.newcastle.edu.au/152/

Coderivatives of multivalued mappings, locally compact cones and metric regularity

Authors: Abderrahim Jourani Lionel Thibault

Source: Nonlinear Analysis: Theory, Methods & Applications. 35:925-945

Subject Terms: locally compact coneinfimal convolution, coderivative, Derivatives of functions in infinite-dimensional spaces, abstract subdifferential, Nonsmooth analysis, partially compactly epi-Lipschitzian multivalued mappings, 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, metric regularity, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1270937
https://doi.org/10.1016/s0362-546x(98)00031-5
https://dl.acm.org/doi/10.1016/S0362-546X%2898%2900031-5
https://www.sciencedirect.com/science/article/pii/S0362546X98000315

Mordukhovich Derivatives of Metric Projection Operator in Hilbert Spaces.

Authors: Li, Jinlu

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

Subject Terms: METRIC projections, HILBERT space, DIRECTIONAL derivatives

LOCAL CODERIVATIVES AND APPROXIMATION OF HODGE LAPLACE PROBLEMS.

Authors: LEE, JEONGHUN J. WINTHER, RAGNAR

Source: Mathematics of Computation. Nov2018, Vol. 87 Issue 314, p2709-2735. 27p.

Subject Terms: *DERIVATIVES (Mathematics), *APPROXIMATION theory, *HODGE theory, *LAPLACE'S equation, *FINITE element method

HIGHER-ORDER DIFFERENTIAL SENSITIVITY FOR WEAK VECTOR VARIATIONAL INEQUALITIES IN TERMS OF TANGENT DERIVATIVES.

Authors: TUNG, NGUYEN MINH BANG, TRAN MINH VAN HOI, NGUYEN

Source: Journal of Nonlinear & Variational Analysis; 2025, Vol. 9 Issue 6, p947-969, 23p

Subject Terms: SENSITIVITY analysis, VARIATIONAL inequalities (Mathematics), TANGENT function, MATHEMATICAL analysis, HIGH-order derivatives (Mathematics), CALCULUS, MATHEMATICAL functions

On Several Types of Basic Constraint Qualifications via Coderivatives for Generalized Equations.

Authors: Wei, Zhou Yao, Jen-Chih

Source: Journal of Optimization Theory & Applications. Apr2018, Vol. 177 Issue 1, p106-126. 21p.

Subject Terms: *GENERALIZATION, *DERIVATIVES (Mathematics), *MATHEMATICAL inequalities, *EXTENSION (Logic), *CONVEX functions

A DERIVATIVE-CODERIVATIVE INCLUSION IN SECOND-ORDER NONSMOOTH ANALYSIS

Authors: R. T. Rockafellar The Pennsylvania State University CiteSeerX Archives

Contributors: R. T. Rockafellar The Pennsylvania State University CiteSeerX Archives

Source: http://www.math.washington.edu/~rtr/papers/rtr-DerivativeCoderivative.pdf.

File Description: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.161.6518

Availability: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.161.6518
http://www.math.washington.edu/~rtr/papers/rtr-DerivativeCoderivative.pdf

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

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

Authors: A. D. Ioffe

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

Subject Terms: 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

File Description: application/xml

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

Calculating Covering Constants for Mappings in Euclidean Spaces Using Mordukhovich Coderivatives with Applications

Authors: Li, Jinlu

Subject Terms: Functional Analysis, 49J52, 49J53, 47H10, 90C31

Relation: http://arxiv.org/abs/2510.27093

Availability: http://arxiv.org/abs/2510.27093