Search Results - projection coderivative*

On the coderivative of the projection operator onto the positive cone in Hilbert spaces

Authors: Van Hien, Le Quan, Nguyen Viet

Source: Optimization. :1-21

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

Access URL: http://arxiv.org/abs/2407.08007

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

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

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

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

On the Coderivative of the Projection Operator onto the Second-order Cone

Authors: Outrata, J.V. Sun, D. MATHEMATICS

Contributors: Outrata, J.V. Sun, D. MATHEMATICS

Source: Set-Valued Analysis. 16:999-1014

Subject Terms: 0209 industrial biotechnology, Aubin property, 0211 other engineering and technologies, Projection, 02 engineering and technology, Second-order cone, Limiting coderivative

Access URL: https://link.springer.com/content/pdf/10.1007%2Fs11228-009-0115-2.pdf
https://research.polyu.edu.hk/en/publications/on-the-coderivative-of-the-projection-operator-onto-the-second-or
https://link.springer.com/article/10.1007/s11228-008-0092-x
http://www.math.nus.edu.sg/~matsundf/singapore4.pdf
http://library.utia.cas.cz/separaty/2008/MTR/outrata-on%20the%20coderivative%20of%20the%20projection%20operator%20onto%20the%20second-order%20cone.pdf
https://link.springer.com/content/pdf/10.1007%2Fs11228-009-0115-2.pdf

Covering constants for metric projection operator with applications to stochastic fixed-point problems.

Authors: Li, Jinlu

Source: Journal of Global Optimization; Aug2025, Vol. 92 Issue 4, p993-1020, 28p

Subject Terms: METRIC projections, MATHEMATICAL optimization, STOCHASTIC programming, SET-valued maps, SUBDIFFERENTIALS, MATHEMATICAL constants, VARIATIONAL approach (Mathematics), BANACH spaces

Normal coderivative for multifunctions and implicit function theorems

Authors: Nguyen Nang Tam Nguyen Dong Yen G. M. Lee

Source: Journal of Mathematical Analysis and Applications. 338:11-22

Subject Terms: Metric regularity, Multifunction, Pseudo-Lipschitz property, Applied Mathematics, 0211 other engineering and technologies, Metric projection, Normal coderivative, 02 engineering and technology, 0101 mathematics, Lower semicontinuity, 01 natural sciences, Implicit function theorem, Analysis

Access URL: https://www.sciencedirect.com/science/article/pii/S0022247X07006415
http://ui.adsabs.harvard.edu/abs/2008JMAA..338...11L/abstract
https://core.ac.uk/display/82116822
https://www.sciencedirect.com/science/article/abs/pii/S0022247X07006415

Mordukhovich Derivatives of Metric Projection Operator in Hilbert Spaces.

Authors: Li, Jinlu¹ (AUTHOR) jli@shawnee.edu

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

Subject Terms: *METRIC projections, *HILBERT space, *DIRECTIONAL derivatives

Some results on the strict Fréchet differentiability of the metric projection operator in Hilbert spaces.

Authors: Van Hien, Le

Source: Optimization; Oct2025, Vol. 74 Issue 14, p3725-3745, 21p

Subject Terms: METRIC projections, HILBERT space, FRECHET spaces, METRIC spaces, MATHEMATICAL analysis, CONVEX sets, SPHERES, FUNCTIONAL analysis

On the Coderivative of the Projection Operator onto the Second-order Cone

Authors: Outrata, Jiří V. Sun, Defeng

Source: Set-Valued and Variational Analysis ; volume 17, issue 3, page 319-319 ; ISSN 1877-0533 1877-0541

Availability: http://dx.doi.org/10.1007/s11228-009-0115-2
http://link.springer.com/content/pdf/10.1007/s11228-009-0115-2.pdf
http://link.springer.com/article/10.1007/s11228-009-0115-2/fulltext.html
http://link.springer.com/content/pdf/10.1007/s11228-009-0115-2

On the Coderivative of the Projection Operator onto the Second-order Cone.

Authors: Jiří Outrata Defeng Sun

Source: Set-Valued Analysis; Dec2008, Vol. 16 Issue 7/8, p999-1014, 16p

A new projection neural network for convex nonlinear second-order cone programming with an application in force optimization problems.

Authors: Mu, Xuewen Zhao, Bingcong Liu, Yitong

Source: International Journal of Machine Learning & Cybernetics; Aug2025, Vol. 16 Issue 7/8, p4727-4735, 9p

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

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

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

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

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

Mordukhovich Derivatives of the Metric Projection Operator in Uniformly Convex and Uniformly Smooth Banach Spaces.

Authors: Li, Jinlu

Source: Set-Valued & Variational Analysis; Dec2024, Vol. 32 Issue 4, p1-47, 47p

From Perspective Maps to Epigraphical Projections.

Authors: Friedlander, Michael P. Goodwin, Ariel Hoheisel, Tim

Source: Mathematics of Operations Research. Aug2023, Vol. 48 Issue 3, p1711-1740. 30p.

Subject Terms: MAP projection, LIPSCHITZ continuity, OPERATOR functions, CONVEX functions, EIGENFUNCTIONS

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

Projectional Coderivatives and Calculus Rules.

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

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

RELATIVE LIPSCHITZ-LIKE PROPERTY OF PARAMETRIC SYSTEMS VIA PROJECTIONAL CODERIVATIVES.

Authors: WENFANG YAO XIAOQI YANG

Source: SIAM Journal on Optimization; 2023, Vol. 33 Issue 3, p2021-2040, 20p

Subject Terms: LINEAR complementarity problem, LINEAR operators