Multiple criteria problems over Minkowski balls

Abstract

Under study are some vector optimization problems over the space of Minkowski balls, i. e., symmetric convex compact subsets in Euclidean space. A typical problem requires to achieve the best result in the presence of conflicting goals; e.g., given the surface area of a symmetric convex body x, we try to maximize the volume of x and minimize the width of x simultaneously.Date: March 22, 2013.

Math-Selfie

“…Takeuti was one of the first who pointed out the role of these models for functional analysis (in Hilbert space) and minted the term Boolean valued analysis. 18 The models of infinitesimal analysis can be viewed among the simplest instances of Boolean valued universes.…”