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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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