Higher-Order Generalized Invexity in Control Problems

Higher-Order Generalized Invexity in Control Problems

We introduce a higher-order duality (Mangasarian type and Mond-Weir type) for the control problem. Under the higher-order generalized invexity assumptions on the functions that compose the primal problems,...

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Main Authors: S. K. Padhan, C. Nahak
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2011/127208
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spelling doaj-09f9780853da4918b1b8237c5a5ceee52020-11-25T01:35:55ZengHindawi LimitedJournal of Control Science and Engineering1687-52491687-52572011-01-01201110.1155/2011/127208127208Higher-Order Generalized Invexity in Control ProblemsS. K. Padhan0C. Nahak1Department of Mathematics, Indian Institute of Technology, Kharagpur-721302, IndiaDepartment of Mathematics, Indian Institute of Technology, Kharagpur-721302, IndiaWe introduce a higher-order duality (Mangasarian type and Mond-Weir type) for the control problem. Under the higher-order generalized invexity assumptions on the functions that compose the primal problems, higher-order duality results (weak duality, strong duality, and converse duality) are derived for these pair of problems. Also, we establish few examples in support of our investigation.http://dx.doi.org/10.1155/2011/127208
collection DOAJ
language English
format Article
sources DOAJ
author S. K. Padhan
C. Nahak
spellingShingle S. K. Padhan
C. Nahak
Higher-Order Generalized Invexity in Control Problems
Journal of Control Science and Engineering
author_facet S. K. Padhan
C. Nahak
author_sort S. K. Padhan
title Higher-Order Generalized Invexity in Control Problems
title_short Higher-Order Generalized Invexity in Control Problems
title_full Higher-Order Generalized Invexity in Control Problems
title_fullStr Higher-Order Generalized Invexity in Control Problems
title_full_unstemmed Higher-Order Generalized Invexity in Control Problems
title_sort higher-order generalized invexity in control problems
publisher Hindawi Limited
series Journal of Control Science and Engineering
issn 1687-5249
1687-5257
publishDate 2011-01-01
description We introduce a higher-order duality (Mangasarian type and Mond-Weir type) for the control problem. Under the higher-order generalized invexity assumptions on the functions that compose the primal problems, higher-order duality results (weak duality, strong duality, and converse duality) are derived for these pair of problems. Also, we establish few examples in support of our investigation.
url http://dx.doi.org/10.1155/2011/127208
work_keys_str_mv AT skpadhan higherordergeneralizedinvexityincontrolproblems
AT cnahak higherordergeneralizedinvexityincontrolproblems
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