The limiting Lagrangian as a consequence of Helly's theorem-Reference-Cited by-同舟云学术

The limiting Lagrangian as a consequence of Helly's theorem

Published:1981-04 Issue:4 Volume:33 Page:497-513
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Borwein J. M.

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/10.1007/BF00935755.pdf

Reference14 articles.

1. Duffin, R. J.,Convex Analysis Treated by Linear Programming, Mathematical Programming, Vol. 4, pp. 125?143, 1973.

2. Jeroslow, R. G.,A Limiting Lagrangian for Infinitely-Constrained Convex Optimization in R n,Journal of Optimization Theory and Applications, Vol. 33, No. 3, 1981.

3. Borwein, J. M.,A Note on Perfect Duality and the Limiting Lagrangian, Mathematical Programming, Vol. 18, pp. 330?337, 1980.

4. Danzer, L., Grunbaum, B., andKlee, V. L.,Helly's Theorem and Its Relatives in Convexity, Proceedings of the Symposia in Pure Mathematics, Vol. 7, Edited by V. L. Klee, American Mathematical Society, Providence, Rhode Island, 1963.

5. Ben-tal, A., Ben-israel, B., andRossinger, E.,A Helly-Type Theorem and Semi-Infinite Programming, Preprint, 1978.

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