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| ON CONE D.C. OPTIMIZATION AND CONJUGATE DUALITY |
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Citation： |
M. SEMU.ON CONE D.C. OPTIMIZATION AND CONJUGATE DUALITY[J].Chinese Annals of Mathematics B,2003,24(4):521~528 |
| Page view： 1350
Net amount： 835 |
Authors： |
M. SEMU; |
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| Abstract： |
This paper derives first order necessary and sufficient conditions for unconstrained cone
d.c. programming problems where the underlined space is partially ordered with respect to a
cone. These conditions are given in terms of directional derivatives and subdifferentials of the
component functions. Moreover, conjugate duality for cone d.c. optimization is discussed and
weak duality theorem is proved in a more general partially ordered linear topological vector
space (generalizing the results in [11]). |
Keywords： |
Multi objective optimization, Cone d.c. programming, Optimality conditions,
Conjugate duality |
Classification： |
90C29, 90C46, 26A27 |
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