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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
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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| _version_ | 1832561244504064000 |
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| author | He Qinghai Zhang Binbin |
| author_facet | He Qinghai Zhang Binbin |
| author_sort | He Qinghai |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-c7309be4b5394d6b94fdfe975d1dcb6a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c7309be4b5394d6b94fdfe975d1dcb6a2025-02-03T01:25:36ZengWileyAbstract 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 |
| spellingShingle | He Qinghai Zhang Binbin Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems Abstract and Applied Analysis |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2013/678154 |
| work_keys_str_mv | AT heqinghai positivedefinitenessofhighordersubdifferentialandhighorderoptimalityconditionsinvectoroptimizationproblems AT zhangbinbin positivedefinitenessofhighordersubdifferentialandhighorderoptimalityconditionsinvectoroptimizationproblems |