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Connectedness of the efficient set in strictly quasiconcave vector maximization
- Source :
- Journal of Optimization Theory and Applications. 78:613-622
- Publication Year :
- 1993
- Publisher :
- Springer Science and Business Media LLC, 1993.
-
Abstract
- In this paper, the concepts of quasiconcave set and strictly quasiconcave set are introduced. By using these concepts, we get a new sufficient condition for the efficient outcome set to be connected. This leads to the connectedness of the efficient solution set in strictly quasiconcave vector maximization under the mild condition that the efficient frontier is closed.
- Subjects :
- Mathematical optimization
Control and Optimization
Social connectedness
Applied Mathematics
Solution set
Efficient frontier
Maximization
Management Science and Operations Research
Outcome (game theory)
Combinatorics
Set (abstract data type)
Vector optimization
Quasiconvex function
Mathematics
Subjects
Details
- ISSN :
- 15732878 and 00223239
- Volume :
- 78
- Database :
- OpenAIRE
- Journal :
- Journal of Optimization Theory and Applications
- Accession number :
- edsair.doi...........75e31fe7093a4943cc88240e21db1c3f