On the Existence of Weak Efficient Solutions of Nonconvex Vector Optimization Problems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-020-01667-0
Abstract: We study vector optimization problems with solid non-polyhedral convex ordering cones, without assuming any convexity or quasiconvexity assumption. We state a Weierstrass-type theorem and existence results for weak efficient solutions for coercive and noncoercive problems.… read more here.
Keywords: vector; weak efficient; efficient solutions; optimization ... See more keywords
A note on existence of weak efficient solutions for vector equilibrium problems
Sign Up to like & getrecommendations! Published in 2018 at "Optimization Letters"
DOI: 10.1007/s11590-018-1242-1
Abstract: This work concerns with vector equilibrium problems where the image space of the bifunction is not endowed with any topology. To be precise, a kind of “semi-algebraic” upper semicontinuity notion is introduced and, by means… read more here.
Keywords: existence weak; weak efficient; efficient solutions; note existence ... See more keywords