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http://dx.doi.org/10.14317/jami.2013.835

SECOND ORDER NONSMOOTH MULTIOBJECTIVE FRACTIONAL PROGRAMMING PROBLEM INVOLVING SUPPORT FUNCTIONS  

Kharbanda, Pallavi (Centre for Mathematical Sciences, Banasthali University)
Agarwal, Divya (Department of Applied Sciences and Humanities, itm University)
Sinha, Deepa (Department of Mathematics, South Asian University)
Publication Information
Journal of applied mathematics & informatics / v.31, no.5_6, 2013 , pp. 835-852 More about this Journal
Abstract
In this paper, we have considered a class of constrained non-smooth multiobjective fractional programming problem involving support functions under generalized convexity. Also, second order Mond Weir type dual and Schaible type dual are discussed and various weak, strong and strict converse duality results are derived under generalized class of second order (F, ${\alpha}$, ${\rho}$, $d$)-V-type I functions. Also, we have illustrated through non-trivial examples that class of second order (F, ${\alpha}$, ${\rho}$, $d$)-V-type I functions extends the definitions of generalized convexity appeared in the literature.
Keywords
Nonsmooth programming; (F, ${\alpha}$, ${\rho}$, d)-V-type I functions; Support functions; Efficient solution;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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