Seminar: prof. Nicolae Popovici (Babes-Bolyai University), “A general local-global extremality principle in vector optimization”, 13 Febbraio, 15.00, sala Consiglio

On February 13th, 2019, 15.00-16.00, Prof. Nicolae Popovici (Department of Mathematics – Faculty of Mathematics and Computer Science – Babes-Bolyai University – Cluj-Napoca, Romania) will give a talk on “A general local-global extremality principle in vector optimization” (joint with Ovidiu Bagdasar, University of Derby, UK)

 

Abstract

It is known that any local minimal point of a semistrictly quasiconvex real-valued function is a global minimal point; also, any local maximal point of an explicitly quasiconvex real-valued function is a global minimal point, provided that it belongs to the intrinsic core of the function’s domain. We have shown that these local min – global min and local max – global min type properties can be extended and unified by a general local-global extremality principle for generalized convex vector-valued functions with respect to two proper subsets of the outcome space.

Keywords: unified vector optimization; generalize convex functions.