Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems
We obtain a new Taylor's formula in terms of the order subdifferential of a function from to . As its applications in optimization problems, we build order sufficient optimality conditions of this kind of functions and order necessary conditions for strongly -quasiconvex functions.
Main Authors: | He Qinghai, Zhang Binbin |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2013-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2013/678154 |
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