- RMITOpt Seminar this Friday the 23rd March at 1.30pm – Dr. Anand Deopurkar, ANU
- RMITOpt Talk: Extending de Bruijn’s Identity – Prof. Bill Moran
Speaker: Dr. Walter Kozlowski,
Network Evolution 2020 Infrastructure,Telstra
Title: Common fixed points of monotone Lipschitzian semigroups in Banach spaces
Date and Time: Friday, April 13th, 3.00pm – 4.00pm
Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus (To connect via visimeet please contact email@example.com)
|Abstract: We will discuss the existence of common fixed points of monotone Lipschitzian semigroups in Banach spaces under the natural condition that the images under the action of the semigroup at certain point are comparable to the point. In particular, we prove that if one map in the semigroup is a monotone contraction mapping, then such common fixed point exists. In the case of a monotone nonexpansive semigroup we prove the existence of common fixed points if the Banach space is uniformly convex in every direction. We explain why these assumptions are substantially weaker than those made in the pre-existing literature. We will also touch upon some non-trivial applications, as well as on recent research directions in the field.
Bio: Dr Walter Kozlowski – publishing in Mathematics as Wojciech M. Kozlowski – has been actively involved in research activities in Mathematics and Applications since 1980s with a particular interest in functional analysis, fixed point theory and applications. A Fulbright scholar, an author of a monographic book “Modular Function Spaces”, co-author of recently published book “Fixed Point Theory in Modular Function Spaces” and of numerous scientific papers, he has held several academic posts at the universities around the world, currently as an Adjunct Professor at the School of Mathematics and Statistics of the University of New South Wales and a research collaborator of CARMA (Research Centre for Computer-Assisted Research Mathematics and its Applications) at the University of Newcastle, NSW, Australia. In parallel, Walter has been pursuing a professional career in Information and Communication Technology with over 25 years of increasingly responsible experience within leading global organisations including IBM, Telstra, and Hewlett-Packard. In this capacity, he has been leading large-scale digital transformation projects for clients in the telecommunications and media industries worldwide, as well he has published several industry related business and technology articles. Walter has been awarded by The Open Group the title of the Distinguished IT Architect in the category of Chief Architect. Walter also participates in the PhD Industry Mentoring programme organised by the La Trobe University in Melbourne. In 2017 Walter has assumed a position of the Chief Architect of the Telstra Network Function Virtualisation program, in which role he leads the technology transformation of towards the software controlled, virtualised network.