Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency

Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency

Some new properties are obtained for generalized second-order contingent (adjacent) epiderivatives of set-valued maps. By employing the generalized second-order adjacent epiderivatives, necessary and sufficient conditions of Benson proper efficient solutions are given for set-valued optimization pro...

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Main Authors: Qilin Wang, Guolin Yu
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/432963
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spelling doaj-730aaf09cc5649aaa9a413b50378a7d52020-11-25T00:22:29ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/432963432963Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper EfficiencyQilin Wang0Guolin Yu1College of Sciences, Chongqing Jiaotong University, Chongqing 400074, ChinaResearch Institute of Information and System Computation Science, Beifang University of Nationalities, Yinchuan 750021, ChinaSome new properties are obtained for generalized second-order contingent (adjacent) epiderivatives of set-valued maps. By employing the generalized second-order adjacent epiderivatives, necessary and sufficient conditions of Benson proper efficient solutions are given for set-valued optimization problems. The results obtained improve the corresponding results in the literature.http://dx.doi.org/10.1155/2011/432963
collection DOAJ
language English
format Article
sources DOAJ
author Qilin Wang
Guolin Yu
spellingShingle Qilin Wang
Guolin Yu
Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency
Abstract and Applied Analysis
author_facet Qilin Wang
Guolin Yu
author_sort Qilin Wang
title Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency
title_short Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency
title_full Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency
title_fullStr Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency
title_full_unstemmed Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency
title_sort second-order optimality conditions for set-valued optimization problems under benson proper efficiency
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2011-01-01
description Some new properties are obtained for generalized second-order contingent (adjacent) epiderivatives of set-valued maps. By employing the generalized second-order adjacent epiderivatives, necessary and sufficient conditions of Benson proper efficient solutions are given for set-valued optimization problems. The results obtained improve the corresponding results in the literature.
url http://dx.doi.org/10.1155/2011/432963
work_keys_str_mv AT qilinwang secondorderoptimalityconditionsforsetvaluedoptimizationproblemsunderbensonproperefficiency
AT guolinyu secondorderoptimalityconditionsforsetvaluedoptimizationproblemsunderbensonproperefficiency
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