We introduce a class of generalized convex vector valued functions, named K-quasiconnected functions, that contains, as a special case, the classical K-quasiconvex functions. The main results concerns the well-posedness of K-quasiconnected problems: moreover, under strict K-quasiconnectedness, we obtain the well-posedness of weak solutions.

Generalized convexity and well-posedness in vector optimization

MIGLIERINA, ENRICO;MOLHO, ELENA
2003-01-01

Abstract

We introduce a class of generalized convex vector valued functions, named K-quasiconnected functions, that contains, as a special case, the classical K-quasiconvex functions. The main results concerns the well-posedness of K-quasiconnected problems: moreover, under strict K-quasiconnectedness, we obtain the well-posedness of weak solutions.
G.P. Crespi, A. Guerraggio, E. Miglierina, M. Rocca (eds.)
Recent Advances in Optimization
88 86988 48 6
Recent advances in optimization
Varese
June 13-14, 2002
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/1488685
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