Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization

Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization

<p/> <p>Some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. By virtue of the second-order contingent derivatives of set-valued maps, some results concerning sensitivity analysis are obtained in multiobjective optimizatio...

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Main Authors: Li SJ, Wang QL
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2011/857520
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spelling doaj-b43442a9b3724a1b94a4f0bb6d7e9c7e2020-11-25T00:22:45ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122011-01-0120111857520Second-Order Contingent Derivative of the Perturbation Map in Multiobjective OptimizationLi SJWang QL<p/> <p>Some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. By virtue of the second-order contingent derivatives of set-valued maps, some results concerning sensitivity analysis are obtained in multiobjective optimization. Several examples are provided to show the results obtained.</p>http://www.fixedpointtheoryandapplications.com/content/2011/857520
collection DOAJ
language English
format Article
sources DOAJ
author Li SJ
Wang QL
spellingShingle Li SJ
Wang QL
Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization
Fixed Point Theory and Applications
author_facet Li SJ
Wang QL
author_sort Li SJ
title Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization
title_short Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization
title_full Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization
title_fullStr Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization
title_full_unstemmed Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization
title_sort second-order contingent derivative of the perturbation map in multiobjective optimization
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2011-01-01
description <p/> <p>Some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. By virtue of the second-order contingent derivatives of set-valued maps, some results concerning sensitivity analysis are obtained in multiobjective optimization. Several examples are provided to show the results obtained.</p>
url http://www.fixedpointtheoryandapplications.com/content/2011/857520
work_keys_str_mv AT lisj secondordercontingentderivativeoftheperturbationmapinmultiobjectiveoptimization
AT wangql secondordercontingentderivativeoftheperturbationmapinmultiobjectiveoptimization
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