Search Results - "Projectional coderivative"

Projectional Coderivatives and Calculus Rules

Authors: Wenfang Yao Kaiwen Meng Minghua Li et al.

Contributors: Wenfang Yao Kaiwen Meng Minghua Li et al.

Source: Set-Valued and Variational Analysis. 31

Subject Terms: Relative Lipschitz-like property, Optimization and Control (math.OC), Generalized Mordukhovich criterion, 0211 other engineering and technologies, FOS: Mathematics, Projectional coderivative, 02 engineering and technology, 49J53, 49K40, 58C07, 90C31, 0101 mathematics, Mathematics - Optimization and Control, 01 natural sciences, Calculus rules

Access URL: http://arxiv.org/abs/2210.11706

Lipschitz-like property relative to a set and the generalized Mordukhovich criterion

Authors: K. W. Meng M. H. Li W. F. Yao et al.

Contributors: K. W. Meng M. H. Li W. F. Yao et al.

Source: Mathematical Programming. 189:455-489

Subject Terms: Optimization and Control (math.OC), Mordukhovich criterion, Level-set mapping, Graphical modulus, Lipschitz-like property relative to a set, FOS: Mathematics, 0211 other engineering and technologies, Projectional coderivative, 90C30, 02 engineering and technology, Mathematics - Optimization and Control

Access URL: http://arxiv.org/pdf/2009.10536
http://arxiv.org/abs/2009.10536
https://link.springer.com/article/10.1007/s10107-020-01568-0
https://research.polyu.edu.hk/en/publications/lipschitz-like-property-relative-to-a-set-and-the-generalized-mor
https://dblp.uni-trier.de/db/journals/mp/mp189.html#MengLY021

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

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

Lipschitz-like property relative to a set and the generalized Mordukhovich criterion.

Authors: Meng, K. W. Li, M. H. Yao, W. F. et al.

Source: Mathematical Programming; Sep2021, Vol. 189 Issue 1/2, p455-489, 35p

Subject Terms: SET-valued maps, CONVEX sets, CONES

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

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

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

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

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

Subject Terms: SET-valued maps, EQUILIBRIUM

On New Generalized Differentials with Respect to a Set and Their Applications.

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

Source: Set-Valued & Variational Analysis; Sep2024, Vol. 32 Issue 3, p1-27, 27p