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Invexity at a point: generalisations and classification

Published online by Cambridge University Press:  17 April 2009

S. Mititelu  and
I.M. Stancu-Minasian
S. Mititelu
Affiliation:
Department of Mathematics, Institute of Civil Engineering, Bucharest, Romania
I.M. Stancu-Minasian
Affiliation:
Centre of Mathematical, Statistics The Romanian Academy Bd Magheru, 22 RO-70158 Bucharest 22, Romania
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This paper uses Clarke’s generalised directional derivative to describe several types of invexity, pseudoinvexity and quasiinvexity at a point of a nonlinear function. Direct implications of the relations existing between the various types of invexity and generalised invexity are presented, as well as a block diagram of these implications. In particular, similar results in the class of quasiconvex functions are obtained.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 48 , Issue 1 , August 1993 , pp. 117 - 126
Copyright
Copyright © Australian Mathematical Society 1993

References

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