Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems

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
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spelling doaj-c7309be4b5394d6b94fdfe975d1dcb6a2020-11-25T00:10:55ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/678154678154Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization ProblemsHe Qinghai0Zhang Binbin1Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, ChinaSchool of Science, Kunming University of Science and Technology, Kunming, Yunnan 650500, ChinaWe 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.http://dx.doi.org/10.1155/2013/678154
collection DOAJ
language English
format Article
sources DOAJ
author He Qinghai
Zhang Binbin
spellingShingle He Qinghai
Zhang Binbin
Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems
Abstract and Applied Analysis
author_facet He Qinghai
Zhang Binbin
author_sort He Qinghai
title Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems
title_short Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems
title_full Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems
title_fullStr Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems
title_full_unstemmed Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems
title_sort positive definiteness of high-order subdifferential and high-order optimality conditions in vector optimization problems
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1155/2013/678154
work_keys_str_mv AT heqinghai positivedefinitenessofhighordersubdifferentialandhighorderoptimalityconditionsinvectoroptimizationproblems
AT zhangbinbin positivedefinitenessofhighordersubdifferentialandhighorderoptimalityconditionsinvectoroptimizationproblems
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