On the Continuity of the Optimal Value in Parametric Linear Optimization: Stable Discretization of the Lagrangian Dual of Nonlinear Problems

Author:

Cánovas María J.,López Marco A.,Parra Juan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference31 articles.

1. Bank, B., Guddat, J., Klatte, D., Kummer, B. and Tammer, K.: Non-Linear Parametric Optimization, Birkhäuser, Basel, 1983.

2. Bazaraa, M. S., Sherali, H. D. and Shetty, C. M.: Nonlinear Programming: Theory and Algorithms, Wiley, New York, 1993.

3. Beer, G.: Topologies on Closed and Closed Convex Sets, Kluwer Acad. Publ., Dordrecht, 1993.

4. Bertsekas, D. P.: Nonlinear Programming, Athena Scientific, Belmont, MA, 1995.

5. Brosowski, B.: Parametric semi-infinite linear programming I. Continuity of the feasible set and of the optimal value, Math. Programming Study 21 (1984), 18–42.

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