scholarly journals METRIC REGULARITY OF PARAMETRIC GENERALIZED INEQUALITY SYSTEMS

2010 ◽  
Vol 14 (5) ◽  
pp. 2107-2123 ◽  
Author(s):  
N. Q. Huy ◽  
J.-C. Yao
Keyword(s):  
Metric Regularity ◽  
Inequality Systems

A general metric regularity in asplund banach spaces

1998 ◽  
Vol 19 (3-4) ◽  
pp. 215-226 ◽  
Author(s):  
T. Amahroq ◽  
A. Jourani ◽  
L. Thibault
Keyword(s):  
Banach Spaces ◽  
Metric Regularity

scholarly journals Locally polyhedral linear inequality systems

1998 ◽  
Vol 270 (1-3) ◽  
pp. 231-253 ◽  
Author(s):  
Edward J. Anderson ◽  
Miguel A. Goberna ◽  
Marco A. López
Keyword(s):  
Linear Inequality ◽  
Linear Inequality Systems ◽  
Inequality Systems

Inequality Systems

1970 ◽  
pp. 7-30
Author(s):  
Josef Stoer ◽  
Christoph Witzgall
Keyword(s):  
Inequality Systems

Statistical Inference of Second-Order Cone Programming

2019 ◽  
Vol 36 (02) ◽  
pp. 1940003
Author(s):  
Liwei Zhang ◽  
Shengzhe Gao ◽  
Saoyan Guo
Keyword(s):  
Lipschitz Continuity ◽  
Metric Regularity ◽  
Optimal Solution ◽  
Second Order ◽  
Lipschitz Continuous ◽  
Set Valued Mapping ◽  
Second Order Cone ◽  
Degeneracy Condition ◽  
Optimal Solution Set ◽  
The Stability

In this paper, we study the stability of stochastic second-order programming when the probability measure is perturbed. Under the Lipschitz continuity of the objective function and metric regularity of the feasible set-valued mapping, the outer semicontinuity of the optimal solution set and Lipschitz continuity of optimal values are demonstrated. Moreover, we prove that, if the constraint non-degeneracy condition and strong second-order sufficient condition hold at a local minimum point of the original problem, there exists a Lipschitz continuous solution path satisfying the Karush–Kuhn–Tucker conditions.

scholarly journals Directional Metric Regularity of Multifunctions

2015 ◽  
Vol 40 (4) ◽  
pp. 969-991 ◽  
Author(s):  
Huynh Van Ngai ◽  
Michel Théra
Keyword(s):  
Metric Regularity

Nonlinear error bounds for quasiconvex inequality systems

2015 ◽  
Vol 11 (1) ◽  
pp. 107-120 ◽  
Author(s):  
Satoshi Suzuki ◽  
Daishi Kuroiwa
Keyword(s):  
Error Bounds ◽  
Nonlinear Error ◽  
Inequality Systems ◽  
Nonlinear Error Bounds
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