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Second order optimality conditions for mathematical prograramming with set functions

Published online by Cambridge University Press:  17 February 2009

J. H. Chou ,
Wei-Shen Hsia  and
Tan-Yu Lee
Tan-Yu Lee
Affiliation:
Department of Mathematics, The University of Alabama, University, Alabama 35486, U.S.A.
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Abstract

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Second order necessary and sufficient conditions are given for a class of optimization problems involving optimal selection of a measurable subset from a given measure subspace subject to set function inequalities. Relations between twice-differentiability at Ω and local convexity at Ω are also discussed.

Type
Research Article
Information
The ANZIAM Journal , Volume 26 , Issue 3 , January 1985 , pp. 284 - 292
Copyright
Copyright © Australian Mathematical Society 1985

References

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