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Approximate convexity in vector optimisation

Published online by Cambridge University Press:  17 April 2009

Anjana Gupta ,
Aparna Mehra  and
Davinder Bhatia
Anjana Gupta
Affiliation:
Department of Operational Research, University of Delhi, Delhi-110007, India e-mail: anjanagupta2006@rediffmail.com
Aparna Mehra
Affiliation:
Department of Mathematics, Indian Institute of Technology, Hauz Khas, New Delhi 110016, India e-mail: apmehra@maths.iitd.ac.in
Davinder Bhatia
Affiliation:
Department of Operational Research, University of Delhi, Delhi 110007, India
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Approximate convex functions are characterised in terms of Clarke generalised gradient. We apply this characterisation to derive optimality conditions for quasi efficient solutions of nonsmooth vector optimisation problems. Two new classes of generalised approximate convex functions are defined and mixed duality results are obtained.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 74 , Issue 2 , October 2006 , pp. 207 - 218
Copyright
Copyright © Australian Mathematical Society 2006

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