Fenchel-Lagrange duality in vector fractional programming via abstract duality scheme. (English) Zbl 0616.90081

This paper deals with a generalization of both Fenchel and Lagrange duality in vector fractional programming. In the first section the concepts of maximum and supremal are introduced and discussed. In Section 2 simple abstract duality scheme is presented. The last section is devoted to the so-called Fenchel-Lagrange duality in vector fractional programming which is built up on the basis of the abstract duality scheme and a set separation theorem.


90C32 Fractional programming
90C31 Sensitivity, stability, parametric optimization
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