Characterizations of Lipschitzian Stability in Nonlinear Programming

By Asen L. Dontchev, R. Tyrrell Rockafellar. 2020

54 citations recorded by the source corpus.

Nonlinear programming problems are analyzed for Lipschitz and upper-Lipschitz behavior of their solutions and stationary points under general perturbations. Facts from a diversity of sources are put together to obtain new characterizations of several local stability properties.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/325ceb54a81f77d7935eab9f07075bee719a03bf

How researchers see this paper

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In Applied Mathematics

1. Alexander Shapiro

In Computational Theory and Mathematics

1. Alexander Shapiro
2. Guanghui Lan
3. Saeed Ghadimi
4. Arkadi Nemirovski
5. Roberto Imbuzeiro Oliveira
6. Csaba Szepesvari
7. Simon J. Godsill
8. Dimitris J. Bertsimas

In Numerical Analysis

1. Alexander Shapiro
2. Dimitris J. Bertsimas
3. Nathan Kallus
4. Vishal Gupta
5. Hamed Rahimian
6. Sanjay Mehrotra

Citations in the corpus

• Sensitivity Analysis of Generalized Equations (2003, background): “We also discuss concepts of nondegeneracy and strict complementarity of set constrained problems.”