Date:\u00a0 December 1st,\u00a0 2021 at 10:00 am (Chilean-time)<\/b><\/span><\/p>\n Title<\/strong>:\u00a0\u00a0\u00a0 Continuity and maximal quasimonotonicity of normal cone operators<\/p>\n Abstract:<\/b>\u00a0 In this talk we present some properties of the adjusted Venue<\/strong>: Online via Google Meet: https:\/\/meet.google.com\/cmx-ivvw-saq<\/span><\/p>\n A brief biography of the speaker<\/span><\/span><\/strong>: Nicolas Hadjisavvas is Professor Emeritus, University of the Aegean, Greece.\u00a0 Among other responsabilities He is currently Associate editor of JOTA, JOGO, Optimization, and Optimization Letters; author of 66 papers from which he received 1392 citations according to WoS (without self-citations). In addition, He edited 4 books in Springer, and 5 special journal issues, besides He served as chair of the Working Group on Generalized Convexity (2003-2006, 2015-2018). He has been keynote or invited speaker in many Conferences or Summer Schools.<\/p>\n Coordinators<\/strong>: Fabi\u00e1n Flores-Baz\u00e1n (CMM, Universidad de Concepci\u00f3n) and Abderrahim Hantoute (Alicante)<\/p>\n","protected":false},"excerpt":{"rendered":" Speaker: Professor Nicolas Hadjisavvas,\u00a0 University of the Aegean, Greece. Date:\u00a0 December 1st,\u00a0 2021 at 10:00 am (Chilean-time) Title:\u00a0\u00a0\u00a0 Continuity and maximal quasimonotonicity of normal cone operators Abstract:\u00a0 In this talk we present some properties of the adjusted normal cone operator of quasiconvex functions. In particular, we introduce a new notion of maximal quasimotonicity for set-valued … Continue reading Continuity and maximal quasimonotonicity of normal cone operators<\/span>
\nnormal cone operator of quasiconvex functions. In particular, we introduce a
\nnew notion of maximal quasimotonicity for set-valued maps, different from
\nsimilar ones that appeared recently in the literature, and we show that this
\noperator is maximal quasimonotone in this sense. Among other results, we prove
\nthe $s\\times w^{\\ast}$ cone upper semicontinuity of the normal cone operator
\nin the domain of $f$, in case the set of global minima is empty, or a
\nsingleton, or has non empty interior (joint work with M. Bianchi and R. Pini).<\/p>\n