Characterization of Solution Sets of Vector Optimization Problems in Banach Spaces
LI Liu-fen · Journal of Sichuan University of Science & Engineering · 2012
In finite-dimensional spaces,when the scalar function is convex lower semi-continuity,the efficient solution sets of convex vector optimization problems is nonempty and compact,but in infinite-dimensional spaces this is not established.However under the structure of a set in dual space and the weakening objective function hypothesis,the results in real finite-dimensional space is extended to real reflexive Banach spaces.