Applied Math Seminar | Melusi Khumalo, Iterated Function System of Generalized Cyclic Contractions in Partial Metric Spaces

MC 5501 and Zoom (please contact amug@uwaterloo.ca for meeting link) 

Speaker

Professor Melusi Khumalo, University of South Africa

Title

Iterated Function System of Generalized Cyclic Contractions in Partial Metric Spaces

Abstract

In this talk, we aim to obtain a fractal with the assistance of a finite family of generalized cyclic contractive mappings, which belong to a special class of mappings defined on a partial metric space. Consequently, a variety of results for iterated function systems satisfying a different set of generalized cyclic contractive conditions are acquired. We present some example to reinforce the results proved herein. Our results generalize, unify and extend a variety of results which exist in current literature.