- Title
- Graphical derivatives and stability analysis for parameterized equilibria with conic constraints
- Creator
- Mordukhovich, Boris; Outrata, Jiri; Ramirez, Hector
- Date
- 2015
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/100365
- Identifier
- vital:10527
- Identifier
-
https://doi.org/10.1007/s11228-015-0328-5
- Identifier
- ISSN:1877-0533
- Abstract
- The paper concerns parameterized equilibria governed by generalized equations whose multivalued parts are modeled via regular normals to nonconvex conic constraints. Our main goal is to derive a precise pointwise second-order formula for calculating the graphical derivative of the solution maps to such generalized equations that involves Lagrange multipliers of the corresponding KKT systems and critical cone directions. Then we apply the obtained formula to characterizing a Lipschitzian stability notion for the solution maps that is known as isolated calmness.
- Publisher
- Springer
- Relation
- Set-Valued and Variational Analysis Vol. 23, no. 4 (2015), p. 687-704
- Rights
- Copyright © Springer Science+Business Media Dordrecht 2015
- Rights
- Open Access
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; Variational analysis and optimization; Parameterized equilibria; Conic constraints; Sensitivity and stability analysis; Solution maps; Graphical derivatives; Normal and tangent cones
- Full Text
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