Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming
This paper is concerned with a pair of second-order mixed symmetric dual programs involving nondifferentiable functions. Weak, strong, and converse duality theorems are proved for aforementioned pair using the notion of second-order F-convexity/pseudoconvexity assumptions.
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Format: | Article |
Language: | English |
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Wiley
2011-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2011/103597 |
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author | Ravi P. Agarwal Izhar Ahmad S. K. Gupta N. Kailey |
author_facet | Ravi P. Agarwal Izhar Ahmad S. K. Gupta N. Kailey |
author_sort | Ravi P. Agarwal |
collection | DOAJ |
description | This paper is concerned with a pair of second-order mixed symmetric dual programs
involving nondifferentiable functions. Weak, strong, and converse duality theorems are proved for
aforementioned pair using the notion of second-order F-convexity/pseudoconvexity assumptions. |
format | Article |
id | doaj-art-430e360f8fed407bbb0e5c04ac4de0e9 |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2011-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
spelling | doaj-art-430e360f8fed407bbb0e5c04ac4de0e92025-02-03T05:54:06ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/103597103597Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical ProgrammingRavi P. Agarwal0Izhar Ahmad1S. K. Gupta2N. Kailey3Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematics, Indian Institute of Technology Patna, Patna 800 013, IndiaSchool of Mathematics and Computer Applications, Thapar University, Patiala 147 004, IndiaThis paper is concerned with a pair of second-order mixed symmetric dual programs involving nondifferentiable functions. Weak, strong, and converse duality theorems are proved for aforementioned pair using the notion of second-order F-convexity/pseudoconvexity assumptions.http://dx.doi.org/10.1155/2011/103597 |
spellingShingle | Ravi P. Agarwal Izhar Ahmad S. K. Gupta N. Kailey Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming Abstract and Applied Analysis |
title | Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming |
title_full | Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming |
title_fullStr | Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming |
title_full_unstemmed | Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming |
title_short | Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming |
title_sort | generalized second order mixed symmetric duality in nondifferentiable mathematical programming |
url | http://dx.doi.org/10.1155/2011/103597 |
work_keys_str_mv | AT ravipagarwal generalizedsecondordermixedsymmetricdualityinnondifferentiablemathematicalprogramming AT izharahmad generalizedsecondordermixedsymmetricdualityinnondifferentiablemathematicalprogramming AT skgupta generalizedsecondordermixedsymmetricdualityinnondifferentiablemathematicalprogramming AT nkailey generalizedsecondordermixedsymmetricdualityinnondifferentiablemathematicalprogramming |