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Sufficient optimality criteria and duality for variational problems with generalised invexity

Published online by Cambridge University Press:  17 February 2009

B. Mond  and
I. Husain
B. Mond
Affiliation:
Department of Mathematics, La Trobe University, Bundoora, Melbourne, Victoria 3083.
I. Husain
Affiliation:
Department of Mathematics, Regional Engineering College, Hazratbal, India.
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Abstract

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A number of Kuhn-Tucker type sufficient optimality criteria for a class of variational problems under weaker invexity assumptions are presented. As an application of these optimality results, various Mond-Weir type duality results are proved under a variety of generalised invexity assumptions. These results generalise many well-known duality results of variational problems and also give a dynamic analogue of certain corresponding (static) results relating to duality with generalised invexity in mathematical programming.

Type
Research Article
Information
The ANZIAM Journal , Volume 31 , Issue 1 , July 1989 , pp. 108 - 121
Copyright
Copyright © Australian Mathematical Society 1989

References

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