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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.

Information

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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