A Survey on Kannan Mappings in Universalized Metric Spaces
Ali Mutlu *
Department of Mathematics, Faculty of Arts and Science, Celal Bayar University, Muradiye Campus, Manisa, 45030, Turkey.
Nermin Yolcu
Department of Mathematics, Faculty of Science, İzmir Institute of Technology, Turkey.
Berrin Mutlu
Department of Mathematics, Hasan Türek Anatolian High School, Manisa, 45200, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this manuscript, firstly, Kannan contraction type mapping is universalised. Secondly, the unique fixed point of the universalized Kannan contraction type mappings in universalized metric space is verified. Furthermore, we clarify that it can not have a fixed point in metric space.
Keywords: Universalized metric space, Universalized Kannan contraction type mappings, fixed point