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SECOND ORDER NONSMOOTH MULTIOBJECTIVE FRACTIONAL PROGRAMMING PROBLEM INVOLVING SUPPORT FUNCTIONS
Kharbanda, Pallavi,Agarwal, Divya,Sinha, Deepa The Korean Society for Computational and Applied M 2013 Journal of applied mathematics & informatics Vol.31 No.5
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.
Second Order Nonsmooth Multiobjective Fractional Programming Problem Involving Support Functions
Pallavi Kharbanda,Divya Agarwal,Deepa Sinha 한국전산응용수학회 2013 Journal of applied mathematics & informatics Vol.31 No.5
In this paper, we have considered a class of constrained nonsmoothmultiobjective fractional programming problem involving supportfunctions under generalized convexity. Also, second order Mond Weir typedual and Schaible type dual are discussed and various weak, strong andstrict converse duality results are derived under generalized class of secondorder (F, α, ρ, d)-V-type I functions. Also, we have illustrated through nontrivialexamples that class of second order (F, α, ρ, d)-V-type I functionsextends the definitions of generalized convexity appeared in the literature.