A Unified Approach for Scalar and Vector Optimization
This paper deals with some concepts related to the theory of convex programming. A theoretical framework is developed where both scalar and vector optimization can be accomodated. So far vector optimization the adopted point of view is much in the spirit of scalarization ; in this sense it is closely related to the papers by Pascoletti and Serafini1 and Jahn2,3. Moreover it develops in a more general way ideas first appeared in Serafini4.
KeywordsSaddle Point Multi Objective Optimization Convex Cone Vector Optimization Vector Optimization Problem
Unable to display preview. Download preview PDF.
- 3.Jahn, J., Scalarization in multi objective optimization, this volume.Google Scholar
- 4.Serafini, P., Dual relaxation and branch-and-bound techniques for multi objective optimization, in Interactive decision analysis, Grauer, M., Wierzbicki, A., Eds., Springer, Berlin, 1984.Google Scholar
- 5.Rockafellar, R.T., Convex analysis, Princeton University Press, 1972.Google Scholar