SECOND ORDER NONDIFFERENTIABLE MULTIOBJECTIVE FRACTIONAL PROGRAMMING UNDER GENERALIZED UNIVEX FUNCTIONS

Arun Kumar Tripathy

doi:10.11948/2015001

2015 Volume 5 Issue 1

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Arun Kumar Tripathy. SECOND ORDER NONDIFFERENTIABLE MULTIOBJECTIVE FRACTIONAL PROGRAMMING UNDER GENERALIZED UNIVEX FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2015, 5(1): 1-17. doi: 10.11948/2015001

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Arun Kumar Tripathy. SECOND ORDER NONDIFFERENTIABLE MULTIOBJECTIVE FRACTIONAL PROGRAMMING UNDER GENERALIZED UNIVEX FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2015, 5(1): 1-17. doi: 10.11948/2015001

SECOND ORDER NONDIFFERENTIABLE MULTIOBJECTIVE FRACTIONAL PROGRAMMING UNDER GENERALIZED UNIVEX FUNCTIONS

Arun Kumar Tripathy

Department Mathematics, Trident Academy of Technology, F2/A, Chandaka Industrial Estate, Bhubaneswar, 751024, Odisha, India

Abstract

Abstract

In this paper, a new class of second order (d, ρ, η, θ)-type 1 univex function is introduced. The Wolfe type second order dual problem (SFD) of the nondifferentiable multiobjective fractional programming problem (MFP) is considered, where the objective and constraint functions involved are directionally differentiable. Also the duality results under second order(d, ρ, η, θ)-type 1 univex functions are established.
MSC: 40A05;40C05;46A45

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References

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