Second-Order Variational Analysis of Parametric Constraint and Variational Systems

Helmut Gfrerer; Boris S. Mordukhovich

doi:10.1137/17m1157751

Second-Order Variational Analysis of Parametric Constraint and Variational Systems

SIAM Journal on Optimization ◽

10.1137/17m1157751 ◽

2019 ◽

Vol 29 (1) ◽

pp. 423-453 ◽

Cited By ~ 2

Author(s):

Helmut Gfrerer ◽

Boris S. Mordukhovich

Keyword(s):

Variational Analysis ◽

Second Order ◽

Parametric Constraint ◽

Variational Systems

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Second-Order Variational Analysis in Conic Programming with Applications to Optimality and Stability

SIAM Journal on Optimization ◽

10.1137/120903221 ◽

2015 ◽

Vol 25 (1) ◽

pp. 76-101 ◽

Cited By ~ 22

Author(s):

Boris S. Mordukhovich ◽

Jiří V. Outrata ◽

Héctor Ramírez C.

Keyword(s):

Variational Analysis ◽

Second Order ◽

Conic Programming

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Second-order variational analysis and characterizations of tilt-stable optimal solutions in infinite-dimensional spaces

Nonlinear Analysis ◽

10.1016/j.na.2013.03.014 ◽

2013 ◽

Vol 86 ◽

pp. 159-180 ◽

Cited By ~ 32

Author(s):

B.S. Mordukhovich ◽

T.T.A. Nghia

Keyword(s):

Variational Analysis ◽

Second Order ◽

Optimal Solutions ◽

Infinite Dimensional

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Second-order variational analysis in second-order cone programming

Mathematical Programming ◽

10.1007/s10107-018-1345-6 ◽

2018 ◽

Vol 180 (1-2) ◽

pp. 75-116 ◽

Cited By ~ 4

Author(s):

Nguyen T. V. Hang ◽

Boris S. Mordukhovich ◽

M. Ebrahim Sarabi

Keyword(s):

Variational Analysis ◽

Second Order ◽

Cone Programming ◽

Second Order Cone Programming ◽

Second Order Cone

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Generalized differentiation of piecewise linear functions in second-order variational analysis

Nonlinear Analysis ◽

10.1016/j.na.2015.11.008 ◽

2016 ◽

Vol 132 ◽

pp. 240-273 ◽

Cited By ~ 5

Author(s):

Boris S. Mordukhovich ◽

M. Ebrahim Sarabi

Keyword(s):

Variational Analysis ◽

Piecewise Linear ◽

Second Order ◽

Generalized Differentiation ◽

Linear Functions ◽

Piecewise Linear Functions

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Second order variational analysis of disjunctive constraint sets and its applications to optimization problems

Optimization Letters ◽

10.1007/s11590-020-01681-1 ◽

2021 ◽

Author(s):

V. D. Thinh ◽

T. D. Chuong ◽

N. L. H. Anh

Keyword(s):

Variational Analysis ◽

Optimization Problems ◽

Second Order ◽

Constraint Sets

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Variational analysis of a composite function: A formula for the lower second order epi-derivative

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(91)90312-n ◽

1991 ◽

Vol 160 (2) ◽

pp. 379-405 ◽

Cited By ~ 28

Author(s):

Alexander Ioffe

Keyword(s):

Variational Analysis ◽

Second Order ◽

Composite Function

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Robinson Stability of Parametric Constraint Systems via Variational Analysis

SIAM Journal on Optimization ◽

10.1137/16m1086881 ◽

2017 ◽

Vol 27 (1) ◽

pp. 438-465 ◽

Cited By ~ 13

Author(s):

Helmut Gfrerer ◽

Boris S. Mordukhovich

Keyword(s):

Variational Analysis ◽

Constraint Systems ◽

Parametric Constraint

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Discretization of Second-Order Variational Systems

Proceedings of the American Mathematical Society ◽

10.2307/2159199 ◽

1993 ◽

Vol 117 (2) ◽

pp. 575

Author(s):

Michal Feckan

Keyword(s):

Second Order ◽

Variational Systems

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Critical multipliers in variational systems via second-order generalized differentiation

Mathematical Programming ◽

10.1007/s10107-017-1155-2 ◽

2017 ◽

Vol 169 (2) ◽

pp. 605-648 ◽

Cited By ~ 19

Author(s):

Boris S. Mordukhovich ◽

M. Ebrahim Sarabi

Keyword(s):

Second Order ◽

Generalized Differentiation ◽

Variational Systems

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Normal and mixed partial second-order subdifferentials in variational analysis and optimization

Positivity ◽

10.1007/s11117-017-0536-3 ◽

2017 ◽

Vol 22 (3) ◽

pp. 671-685

Author(s):

Ildar Sadeqi ◽

Somayeh Nadi

Keyword(s):

Variational Analysis ◽

Second Order ◽

Variational Analysis And Optimization

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