ISSN 2234-8417 (Online) ISSN 1598-5857 (Print)

 2014's 32,3-4(May)

 Optimality and Duality in Nondifferentiable Multiobjective Fractional Programming using $\alpha$-Univexity By Rekha Gupta ..........1515

Generic Number - 1515
References - 0
Written Date - May 16th, 14
Modified Date - May 16th, 14
Visited Counts - 644

Original File
 Summary In this paper, a multiobjective nondifferentiable fractional programming problem (MFP) is considered where the objective function contains a term involving the support function of a compact convex set. A vector valued (generalized) $\alpha$- univex function is defined to extend the concept of a real valued (generalized) $\alpha$-univex function. Using these functions, sufficient optimality criteria are obtained for a feasible solution of (MFP) to be an efficient or weakly efficient solution of (MFP). Duality results are obtained for a Mond-Weir type dual under (generalized) $\alpha$-univexity assumptions.

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http://www.springer.com/journal/12190
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