Efficiency and duality in nonsmooth multiobjective fractional programming involving η-pseudolinear functions

In this paper, we shall establish necessary and sufficient optimality conditions for a feasible solution to be efficient for a nonsmooth multiobjective fractional programming problem involving ?-pseudolinear functions. Furthermore, we shall show equivalence between efficiency and proper efficiency u...

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Bibliographic Details
Published inYugoslav Journal of Operations Research Vol. 22; no. 1; pp. 3 - 18
Main Authors Mishra, S.K., Upadhyay, B.B.
Format Journal Article
LanguageEnglish
Published University of Belgrade 2012
Subjects
duality
Multiobjective fractional programming
nonsmooth programming
pseudolinearity
η-pseudolinearity
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Summary:In this paper, we shall establish necessary and sufficient optimality conditions for a feasible solution to be efficient for a nonsmooth multiobjective fractional programming problem involving ?-pseudolinear functions. Furthermore, we shall show equivalence between efficiency and proper efficiency under certain boundedness condition. We have also obtained weak and strong duality results for corresponding Mond-Weir subgradient type dual problem. These results extend some earlier results on efficiency and duality to multiobjective fractional programming problems involving ?-pseudolinear and pseudolinear functions. nema
ISSN:0354-0243
1820-743X
DOI:10.2298/YJOR101215002M