## Duality in vector optimization. III: Vector partially quasiconcave programming and vector fractional programming.(English)Zbl 0575.49007

[For part II see the paper reviewed above.]
The so-called $$T_ 2$$-duality concept for a certain class of vector optimization programs is introduced. Further, both the $$T_ 1$$-duality theory and the $$T_ 2$$-duality theory are applied for some classes of vector fractional programming. Finally, for completeness, some $$T_ 1$$- duality theorems are formulated and proved in the last section.

### MSC:

 49N15 Duality theory (optimization) 52A20 Convex sets in $$n$$ dimensions (including convex hypersurfaces) 90C32 Fractional programming 49J45 Methods involving semicontinuity and convergence; relaxation

### Citations:

Zbl 0556.49010; Zbl 0575.49006
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### References:

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