Speaker: Walter Kozlowski
University of New South Wales
Title: Common fixed points of semigroups of monotone nonexpansive nonlinear mappings in Banach spaces
Date and time: Friday 8 September 2017, 3:00–4:00pm
Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus
We consider semigroups of nonlinear mappings acting in Banach spaces equipped with a partial order. We assume that these mappings are monotone and nonexpansive on elements comparable in the order sense. We will discuss existence of common fixed points for such semigroups as well as algorithms for construction of such fixed points. We will also touch upon applications to differential equations and dynamical systems.
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 recently 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.