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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Main Authors: Ravi P. Agarwal, Izhar Ahmad, S. K. Gupta, N. Kailey
Format: Article
Language:English
Published: Wiley 2011-01-01
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
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institution Kabale University
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publishDate 2011-01-01
publisher Wiley
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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