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Semiinfinite multiobjective fractional programming. P. II. Duality models

Zalmai G. J., Zhang Q.

Journal of Applied Analysis

2011

Vol. 17, nr 1

1-35

In this paper, we discuss a fairly large number of parametric and semiparametric duality results under various generalized (η, ρ)-invexity assumptions for a semiinfinite multiobjective fractional programming problem.

Second order mixed symmetric duality in non-diferentiable multi-objective mathematical programming

Mishra S. K.

Journal of Applied Analysis

2007

Vol. 13, nr 1

117-132

A pair of Mond- Weir type second order mixed symmetric duals is presented for a class of non-differen- tiable multi-objective non-linear programming problems with multiple arguments. We establish duality theorems for the new pair of dual models under second order generalized convexity assumptions. This mixed second order dual for- mulation unifies the two existing second order symmetric dual formu- lations in the literature. Many recent works on symmetric duality are obtained as special cases of the results established in the present paper .