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Nondifferentiable programming and duality with modified convexity

Published online by Cambridge University Press:  17 April 2009

V. Jeyakumar
Affiliation:
Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027, U.S.A.
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Abstract

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Type
Abstracts of Australasian Ph.D. Theses
Copyright
Copyright © Australian Mathematical Society 1987

References

[1]Craven, B.D. and Jeyakumar, V., “Equivalence of a Ky Fan type minimax theorem and a Gordan type alternative theorem”, Operations Research Letters Vol. 5 No. 2 (1986) (to appear).Google Scholar
[2]Jeyakumar, V., “Nonlinear alternative theorems and nondifferential programming”, Zeitschrift fur Operations Research, series A 28 (1984), 175187.Google Scholar
[3]Jeyakumar, V., “Convexlike alternative theorems and mathematical programmingVol. 16 No. 2 (1985) 643652.Google Scholar
[4]Jeyakumar, V., “A generalization of a minimax theorem of Fan via a theorem of the alternative”, Journal of Optimization Theory and Applications Vol. 48 No. 3 (1986) 525533.CrossRefGoogle Scholar
[5]Jeyakumar, V., “On subgradient duality with strong and weak convex functions”, Journal of the Australian Mathematical Society, Series A Vol. 40 part 2 (1986) 143152.CrossRefGoogle Scholar
[6]Jeyakumar, V., “ρ-convexity and second order duality”, Utilitas Mathematica, Vol. 29 (1986) 7185.Google Scholar
[7]Jeyakumar, V., “First and second order fractional programming duality”, Opsearch Vol. 22 No. 1 (1985) 2441.Google Scholar
[8]Jeyakumar, V., “Strong and weak invexity in mathematical programming”, Methods of Operations Research 55 (1985) 109125.Google Scholar
[9]Jeyakumar, V., “On optimality conditions in nonsmooth inequality constrained minimization”, Numerical Functional Analysis and Optimization, (1986) (to appear).Google Scholar
[10]Vial, J.P., “Strong and weak convexity of sets and functions”, Mathematics of Operations Research Vol. 8 No. 2 (1983) 231259.CrossRefGoogle Scholar