Volume 5, Number 1, 2015, Pages 1-17 DOI:10.11948/2015001 |
Second order nondifferentiable multiobjective fractional programming under generalized univex functions |
Arun Kumar Tripathy |
Keywords:Second order directional derivative |
Abstract: |
In this paper, a new class of second order $(d,\rho,\eta,\theta)$-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$(d,\rho,\eta,\theta)$-type 1 univex functions are established. |
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