• NONDIFFERENTIABLE MULTIOBJECTIVE MIXED SYMMETRIC DUALITY FOR NONLINEAR PROGRAMMING INVOLVING...
Abstract
In this paper we have presented a pair of mixed symmetric dual for a class of nondifferentiable multiobjective programming involving square root term like (xTAx)1/2 .We established weak duality , strong duality and converse duality theorems with their proofs under (Φ, ρ)-univexity and (Φ, ρ)-pseudounivexity assumption. Also the self duality theorem with example is established. Discussion on some particular cases shows that our results generalize earlier results in related domain.
Keywords
(Φ, ρ)-univexity; (Φ, ρ)-pseudo-univexity; mixed symmetric dual, Schwartz inequality, quadratic term, efficient solution; self duality.
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