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Optimality and Duality for Nonlinear Program

Published on March 2014 by Amrita Pal, Prashant Chauhan
journal_cover_thumbnail

International Conference on Advances in Computer Engineering and Applications
Foundation of Computer Science USA
ICACEA - Number 4
March 2014
Authors: Amrita Pal, Prashant Chauhan
7bec2710-2b2a-40fe-b0f9-8548a8725a2f

Amrita Pal, Prashant Chauhan . Optimality and Duality for Nonlinear Program. International Conference on Advances in Computer Engineering and Applications. ICACEA, 4 (March 2014), 1-3.

@article{
author = { Amrita Pal, Prashant Chauhan },
title = { Optimality and Duality for Nonlinear Program },
journal = { International Conference on Advances in Computer Engineering and Applications },
issue_date = { March 2014 },
volume = { ICACEA },
number = { 4 },
month = { March },
year = { 2014 },
issn = 0975-8887,
pages = { 1-3 },
numpages = 3,
url = { /proceedings/icacea/number4/15631-1460/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 International Conference on Advances in Computer Engineering and Applications
%A Amrita Pal
%A Prashant Chauhan
%T Optimality and Duality for Nonlinear Program
%J International Conference on Advances in Computer Engineering and Applications
%@ 0975-8887
%V ICACEA
%N 4
%P 1-3
%D 2014
%I International Journal of Computer Applications
Abstract

This proposed study deals with the optimality and duality results for non-linear convex programming problems, involving semi-differentiable functions with respect to a continuous arc.

References
  1. Bector, C. R. , 1968, "Duality in fractional and indefinite programming", ZAMM, Vol. 48, 418-420.
  2. Bector C. R. 1973, "Duality in nonlinear fractional programming", Z Operations Research Series A, Vol. 17, 183-193.
  3. Bector C. R. and Bector M. K. 1987, "On various theorems in nonlinear programming",Journal of Optimization Theory and Application, Vol. 53, No. 3, 509-515.
  4. Gulati T. R. , and Craven, B. D. 1983, "A strict converse duality theorem in nonlinear programming,"J. Inform. Optim. Sci. 4, 301-306.
  5. (5) John, F. , 1948. "Extremum Problems with Inequalities as Subsidiary Conditions," in Studies and Essays: Courant Anniversary Volume, K. O. Friedrichs, Neugebauer, O. E. , and Stoker, J. J. , (Eds. ), Wiley-Interscience, N. Y. , pp. 187-204.
  6. Hanson M. A. and Mond, B. 1982, "Further generalizations of convexity in mathematical programming," J. Inform. Optim. Sci. 3 25-32.
  7. Kuhn H. W. and Tucker, A. W. 1951, "Nonlinear Programming," Prov. 2nd Berkeley Symposiu7m on Mathematical Statistics and Probability, (University of California Press), 481-492.
  8. Mangasarian, O. L. 1969, Nonlinear programming (McGraw-Hill, New York, London, Sydney,).
  9. Mond, B. 1983, "Generalized convexity in mathematical programming," Bull. Austral. Math. Soc. 27 , 185-202.
  10. Mond B. and Egudo, R. R. 1985, "On strict converse duality in nonlinear programming," J. Inform. Optim. Sci. 6 , 113-16.
  11. Mond B. and Weir, T. 1981, "Generalized concavity and duality," in Generalized concavity in optimization and economics (eds. S. Schaible and W. T. Ziemba), (Academic Press), 263-279.
  12. Pataki, G. 2001, Tun¸ cel, L. : On the generic properties of convex optimization problems in conic form. Math. Programming. 89 (3 Ser. A), 449–457 .
Index Terms

Computer Science
Information Sciences

Keywords

Fritz-john Optimality Criteria Real Valued Functions Convex Functions Weak And Strong Duality.