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.

Bibliographic Details
Main Authors: He Qinghai, Zhang Binbin
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/678154