Paper Info
Title
Sensitivity Analysis of a Stationary Point Set Map Under Total Perturbations. Part 2: Robinson Stability
Abstract
In Part 1 of this paper, we have estimated the Fréchet coderivative and the Mordukhovich coderivative of the stationary point set map of a smooth parametric optimization problem with one smooth functional constraint under total perturbations. From these estimates, necessary and sufficient conditions for the local Lipschitz-like property of the map have been obtained. In this part, we establish sufficient conditions for the Robinson stability of the stationary point set map. This allows us to revisit and extend several stability theorems in indefinite quadratic programming. A comparison of our results with the ones which can be obtained via another approach is also given.
Year
DOI
Venue
2019
10.1007/s10957-018-1295-4
Journal of Optimization Theory and Applications
Keywords
Field
DocType
Smooth parametric optimization problem,Smooth functional constraint,Stationary point set map,Robinson stability,Coderivative,49K40,49J53,90C31,90C20
Parametric optimization,Mathematical analysis,Stationary point,Quadratic programming,Perturbation (astronomy),Mathematics
Journal
Volume
Issue
ISSN
180.0
SP1.0
1573-2878
Citations 
PageRank 
References 
0
0.34
11
Authors
3
Name
Order
Citations
PageRank
Duong Thi Kim Huyen110.70
Jen-chih Yao2504100.09
N. D. Yen310417.57