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Strong pseudo-convexity and symmetric duality in nonlinear programming

Published online by Cambridge University Press:  17 February 2009

M.S. Mishra ,
S. Nanda  and
D. Acharya
M.S. Mishra
Affiliation:
Indian Institute of Technology, Kharagpur-721302, India.
S. Nanda
Affiliation:
Indian Institute of Technology, Kharagpur-721302, India.
D. Acharya
Affiliation:
Indian Institute of Technology, Kharagpur-721302, India.
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Abstract

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In this note, the weak duality theorem of symmetric duality in nonlinear programming and some related results are established under weaker (strongly Pseudo-convex/strongly Pseudo-concave) assumptions. These results were obtained by Bazaraa and Goode [1] under (stronger) convex/concave assumptions on the function.

Type
Research Article
Information
The ANZIAM Journal , Volume 27 , Issue 2 , October 1985 , pp. 238 - 244
Copyright
Copyright © Australian Mathematical Society 1985

References

[1]Bazaraa, M. S. and Goode, J. J., “On symmetric duality in nonlinear programming’, Oper. Res. 21 (1973), 1–9.CrossRefGoogle Scholar
[2]Chandra, Suresh, “Strong Pseudo-convex programming’, Indian J. Pure Appl. Math. 3 (1972), 278–282.Google Scholar
[3]Dom, W. S., “Duality in quadratic programming’, Quart. Appl. Math. 18 (1960), 155–162.Google Scholar
[4]Dantzig, G. B., Eisenberg, E., Cottle, R. W., “Symmetric duality in nonlinear programming’, Pacific J. Math. 15 (1965), 809–812.Google Scholar
[5]Manjulata, , “Strong Pseudo-convex programming in Banach space’, Indian J. Pure Appl. Math. (1976), 45–78.Google Scholar
[6]Mishra, M. S., Nanda, S. and Acharya, D., “Pseudo-convexity and symmetric duality in nonlinear programming’, Report, Department of Mathematics, Indian Institute of Technology, Kharagpur, 1984.Google Scholar
[7]Mond, B., “Generalised convexity in mathematical programming’, Bull. Austral. Math. Soc. 27 (1983), 185–202.CrossRefGoogle Scholar