Properties P and Q for Suzuki-type Fixed Point Theorems in Metric Spaces

Abstract

The aim of this paper is to present several results for maps defined on a metric space involving contractive conditions of Suzuki-type which satisfy properties P and Q. An interesting fact about this study is that none of these maps has any nontrivial periodic points.

A Suzuki type common tripled fixed point theorem for a hybrid pair of mappings

“…In 2008, Suzuki [37,38] proved generalized versions of both Banach's and Edelstein's basic results. Many other works in this direction have been considered, for example [2,4,13,15,19,20,23,25,29,35,36] and the references therein. The study of fixed points for multivalued contraction mappings using the Hausdorff-Pompeu metric was initiated by Nadler [28].…”

Random Fixed Point Results for Suzuki Type Random Operators and Applications

“…An interesting fact about maps satisfying property P is that none of these maps have any non-trivial periodic points. Some papers dealing with property P are [5,18].…”