On diametrically maximal sets, maximal premonotone maps and premonotone bifunctions.

Abstract: First, we study diametrically maximal sets in the Euclidean space (those which are not properly contained in a set with the samediameter), establishing their main properties. Then, we use these sets for exhibiting an explicit family of maximal premonotone operators. We also establish some relevant properties of maximal premonotone operators, like their local boundedness, and finally we introduce the notion of premonotone bifunctions, presenting a canonical relation between premonotone operators and bifunctions, that extends the well known one, which holds in the monotone case.

Date: Nov 18, 2020 at 10:00:00 h
Venue: Modalidad Vía Online.
Speaker: Professor Wilfredo Sosa
Affiliation: Graduate Program of Economics, Catholic University of Brasilia, Brazil
Coordinator: Abderrahim Hantoute & Fabián Flores-Bazan
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Posted on Nov 16, 2020 in Optimization and Equilibrium, Seminars