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Quasi-regularity in Optimization

Published online by Cambridge University Press:  09 April 2009

Kung-Fu Ng  and
David Yost
Kung-Fu Ng
Affiliation:
Department of Mathematics, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong
David Yost
Affiliation:
Department of Mathematics, Institute of Advanced Studies Anustralian National University, Canberra ACT 2601, Australia
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Abstract

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The notion of quasi-regularity, defined for optimization problems in Rn, is extended to the Banach space setting. Examples are given to show that our definition of quasi-regularity is more natural than several other possibilities in the general situation. An infinite dimensional version of the Lagrange multiplier rule is established.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 41 , Issue 2 , October 1986 , pp. 188 - 192
Copyright
Copyright © Australian Mathematical Society 1986

References

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