Search Results - limiting Fréchet coderivatives*

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

Subdifferentials of performance functions and calculus of coderivatives of set-valued mappings

Authors: Er D. Ioffe Jean-paul Penot Communicated A. L. Dontchev et al.

Contributors: Er D. Ioffe Jean-paul Penot Communicated A. L. Dontchev et al.

Source: http://www.math.bas.bg/~serdica/1996/1996-359-384.pdf.

File Description: application/pdf

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.380.1126

Availability: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.380.1126
http://www.math.bas.bg/~serdica/1996/1996-359-384.pdf

Subdifferentials of Performance Functions and Calculus of Coderivatives of Set-Valued Mappings

Authors: Penot, Jean-Paul Ioffe, Alexander

Subject Terms: Coderivative, Normal Cone, Set-Valued Mapping, Lower Semicontinuous Function, Marginal Function, Subdifferential

Relation: https://hdl.handle.net/10525/612

Availability: https://hdl.handle.net/10525/612

Subdifferentials of Performance Functions and Calculus of Coderivatives of Set-Valued Mappings

Authors: Ioffe, Alexander Penot, Jean-Paul

Subject Terms: Set-Valued Mapping, Lower Semicontinuous Function, Subdifferential, Normal Cone, Coderivative, Marginal Function

Relation: http://hdl.handle.net/10525/612

Availability: http://hdl.handle.net/10525/612

Metric Subregularity of Multifunctions and Applications to Characterizations of Asplund Spaces

Authors: Wei, Zhou Thera, Michel Yao, Jen-Chih

Subject Terms: Optimization and Control

Relation: http://arxiv.org/abs/2509.11004

Availability: http://arxiv.org/abs/2509.11004

Optimality conditions and duality in nonsmooth multiobjective optimization problems.

Authors: Chuong, Thai Kim, Do

Source: Annals of Operations Research. Jun2014, Vol. 217 Issue 1, p117-136. 20p.

Subject Terms: *DUALITY theory (Mathematics), *MULTIPLE criteria decision making, *LIPSCHITZ spaces, *MATHEMATICAL optimization, *CONTRADICTION

Metric Inequality, Subdifferential Calculus and Applications.

Authors: Ngai, Huynh Théra, Michel

Source: Set-Valued Analysis; Mar2001, Vol. 9 Issue 1/2, p187-216, 30p

Subgradient of distance functions with applications to Lipschitzian stability.

Authors: Mordukhovich, Boris S. Nguyen Mau Nam

Source: Mathematical Programming. Oct2005, Vol. 104 Issue 2/3, p635-668. 34p.

Subject Terms: *MATHEMATICAL optimization, *MATHEMATICAL mappings, *MATHEMATICAL functions, *MATHEMATICAL programming, *MATHEMATICS

NECESSARY OPTIMALITY CONDITIONS IN MULTIOBJECTIVE DYNAMIC OPTIMIZATION.

Authors: Saíd Bellaassali, Harold J. Jourani, Abderrahim

Source: SIAM Journal on Control & Optimization; 2004, Vol. 42 Issue 6, p2043-2061, 19p

Subject Terms: MATHEMATICAL optimization, HAMILTONIAN systems, DIFFERENTIABLE dynamical systems, UTILITY functions, MULTIPLE criteria decision making

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

Subtransversality and Strong CHIP of Closed Sets in Asplund Spaces.

Authors: Wei, Zhou Théra, Michel Yao, Jen-Chih

Source: Set-Valued & Variational Analysis; Sep2024, Vol. 32 Issue 3, p1-30, 30p

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 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

Subdifferentials and Coderivatives of Efficient Point Multifunctions in Parametric Convex Vector Optimization.

Authors: An, Duong Thi Viet Hung, Nguyen Huy Van Tuyen, Nguyen

Source: Journal of Optimization Theory & Applications; Aug2024, Vol. 202 Issue 2, p745-770, 26p

Subject Terms: SUBDIFFERENTIALS, SENSITIVITY analysis, CALCULUS, EQUILIBRIUM

Characterizing Convexity of a Function by Its Fréchet and Limiting Second-Order Subdifferentials.

Authors: Chieu, N. Chuong, T. Yao, J.-C. et al.

Source: Set-Valued & Variational Analysis; Mar2011, Vol. 19 Issue 1, p75-96, 22p

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

Approximate solutions for robust multiobjective optimization programming in Asplund spaces.

Authors: Saadati, Maryam Oveisiha, Morteza

Source: Optimization; Feb2024, Vol. 73 Issue 2, p329-357, 29p

Subject Terms: NONSMOOTH optimization, ROBUST optimization, CONVEX functions

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 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

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

Authors: Benko, Matúš Mehlitz, Patrick

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

Subject Terms: CALCULUS of variations, SEMIDEFINITE programming, SET-valued maps, MATHEMATICAL optimization, SENSES, NONSMOOTH optimization