65th SAMS Congress
06-08 December 2022
Stellenbosch University
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Generalized iterated function system for common attractors in partial metric spaces
Vuledzani Makhoshi\(^*\), Talat Nazir, and Melusi Khumalo, University of South Africa

SAMS Subject Classification Number: 11, 21

In this talk, we develop some new common attractors with the assistance of finite families of generalized contractive mappings that belong to the 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 contractive conditions are acquired. We present some examples to reinforce the results proved herein. These results generalize, unify and extend a variety of results that exist in current literature.