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On subgradient duality with strong and weak convex functions

Published online by Cambridge University Press:  09 April 2009

V. Jeyakumar
V. Jeyakumar
Affiliation:
Department of Mathematics, University of Melbourne Parkville, Victoria 3052, Australia
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Abstract

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A duality theorem of Wolfe for nonlinear differentiable programs is extended to nondifferentiable programs with strong and weak convex functions, by replacing gradients by local subgradient. A converse duality theorem is also proved.

MSC classification

Secondary: 90C25: Convex programming 90C30: Nonlinear programming 90C48: Programming in abstract spaces
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 40 , Issue 2 , April 1986 , pp. 143 - 152
Copyright
Copyright Australian Mathematical Society 1986

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