TY - JOUR
T1 - Well-posedness and scalarization in vector optimization
AU - Miglierina, E.
AU - Miglierina, Enrico
AU - Molho, E.
AU - Rocca, M.
PY - 2005
Y1 - 2005
N2 - In this paper, we study several existing notions of well- posedness for vector optimization problems. We separate them into two classes and we establish the hierarchical structure of their relationships. Moreover, we relate vector well-posedness and well-posedness of an appropriate scalarization. This approach allows us to show that, under some compactness assumption, quasiconvex problems are well posed.
AB - In this paper, we study several existing notions of well- posedness for vector optimization problems. We separate them into two classes and we establish the hierarchical structure of their relationships. Moreover, we relate vector well-posedness and well-posedness of an appropriate scalarization. This approach allows us to show that, under some compactness assumption, quasiconvex problems are well posed.
KW - Generalized convexity
KW - Nonlinear scalarization
KW - Vector optimization problems
KW - Well-posedness
KW - Generalized convexity
KW - Nonlinear scalarization
KW - Vector optimization problems
KW - Well-posedness
UR - http://hdl.handle.net/10807/1826
UR - http://www.springerlink.com/content/j471864n5p56ggl2/
U2 - 10.1007/s10957-005-4723-1
DO - 10.1007/s10957-005-4723-1
M3 - Article
SN - 0022-3239
VL - 126
SP - 391
EP - 409
JO - Journal of Optimization Theory and Applications
JF - Journal of Optimization Theory and Applications
ER -