Duality for a Nondifferentiable Multiobjective Second-Order Fractional Programming Problem Involving $$(F,\alpha ,\rho ,d)$$—V-type-I Functions

Ramu Dubey,S K Gupta

doi:10.1007/978-81-322-2485-3_58

Duality for a Nondifferentiable Multiobjective Second-Order Fractional Programming Problem Involving $$(F,\alpha ,\rho ,d)$$—V-type-I Functions

Ramu Dubey, S K Gupta

https://doi.org/10.1007/978-81-322-2485-3_58

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Publication Date: Jan 1, 2015

Affiliation: Indian Institute of Technology Roorkee

#Nondifferentiable Multiobjective Fractional Programming Problem #Nondifferentiable Multiobjective Programming Problem + Show 8 more

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AbstractIn this paper, a nondifferentiable multiobjective fractional programming problem in which a support function appears in the numerator and denominator of each objective function as well as in each constraint function. We propose Schaible type dual for a nondifferentiable second-order fractional programming problem. Next, we prove appropriate duality results using second-order $(F,\alpha ,\rho ,d)$— V-type-I convexity assumptions.KeywordsFractional programming problemSupport functionDuality results $(F, \alpha , \rho , d)$—V-type-I functions

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