A Proof of the Necessity of Linear Independence Condition and Strong Second-Order Sufficient Optimality Condition for Lipschitzian Stability in Nonlinear Programming-Reference-Cited by-同舟云学术

A Proof of the Necessity of Linear Independence Condition and Strong Second-Order Sufficient Optimality Condition for Lipschitzian Stability in Nonlinear Programming

Published:1998-08 Issue:2 Volume:98 Page:467-473
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:Journal of Optimization Theory and Applications

Author:

Dontchev A. L.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

http://link.springer.com/content/pdf/10.1023/A:1022649803808.pdf

Reference11 articles.

1. Robinson, S. M., Strongly Regular Generalized Equations, Mathematics of Operations Research, Vol. 5, pp. 43-62, 1980.

2. Cornet, B., and Laroque, G., Lipschitz Properties of Solutions in Mathematical Programming, Journal of Optimization Theory and Applications, Vol. 53, pp. 407-427, 1987.

3. Klatte, E., and Tammer, K., Strong Stability of Stationary Solutions and Karush-Kuhn-Tucker Points in Nonlinear Optimization, Annals of Operations Research, Vol. 27, pp. 285-308, 1990.

4. Lecture Notes in Mathematics;A. L. Dontchev,1993

5. Dontchev, A. L., and Rockafellar, R. T., Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets, SIAM Journal on Optimization, Vol. 6, pp. 1087-1105, 1996.

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