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A class of nonconvex functions and mathematical programming

Published online by Cambridge University Press:  17 April 2009

T. Weir  and
V. Jeyakumar
T. Weir
Affiliation:
Department of Combinatorics and Optimization, Faculty of Mathematics, University of Waterloo, Ontario Canada N2L 3G1
V. Jeyakumar
Affiliation:
Department of Mathematics, University College, Australian Defence Force Academy, Campbell, A.C.T. 2600, Australia
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Abstract

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A class of functions, called pre-invex, is defined. These functions are more general than convex functions and when differentiable are invex. Optimality conditions and duality theorems are given for both scalar-valued and vector-valued programs involving pre-invex functions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 38 , Issue 2 , October 1988 , pp. 177 - 189
Copyright
Copyright © Australian Mathematical Society 1988

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