On Cone D.C Optimization and Conjugate Duality
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Date
2017-10-05
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Addis Ababa University
Abstract
This Project is about the study of rst order necessary and su cient 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 sub di erentials 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.
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Keywords
Optimization, Conjugate Duality, Scalar D C functions, Vector Optimization