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Duality related to approximate proper solutions of vector optimization problems.
- Source :
- Journal of Global Optimization; Jan2016, Vol. 64 Issue 1, p117-139, 23p
- Publication Year :
- 2016
-
Abstract
- In this work we introduce two approximate duality approaches for vector optimization problems. The first one by means of approximate solutions of a scalar Lagrangian, and the second one by considering $$(C,\varepsilon )$$ -proper efficient solutions of a recently introduced set-valued vector Lagrangian. In both approaches we obtain weak and strong duality results for $$(C,\varepsilon )$$ -proper efficient solutions of the primal problem, under generalized convexity assumptions. Due to the suitable limit behaviour of the $$(C,\varepsilon )$$ -proper efficient solutions when the error $$\varepsilon $$ tends to zero, the obtained duality results extend and improve several others in the literature. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09255001
- Volume :
- 64
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Global Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 112044246
- Full Text :
- https://doi.org/10.1007/s10898-015-0366-4