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Semi-invex functions and their subdifferentials

Published online by Cambridge University Press:  17 April 2009

J. Dutta ,
V. Vetrivel  and
S. Nanda
J. Dutta
Affiliation:
Department of MathematicsIndian Institute of TechnologyKharagpur 721 302India
V. Vetrivel
Affiliation:
Department of MathematicsIndian Institute of TechnologyKharagpur 721 302India
S. Nanda
Affiliation:
Department of MathematicsIndian Institute of TechnologyKharagpur 721 302India
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Abstract

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We introduce the notion of semi-invex function (non-smooth) and the associated subdifferential. We study their properties and establish the conditions for optimality in constrained and unconstrained minimisation problems.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 3 , December 1997 , pp. 385 - 393
Copyright
Copyright © Australian Mathematical Society 1997

References

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