Simulation Type Functions and Coincidence Points
Abstract
In this paper, we obtain some sufficient conditions for the existence
and uniqueness of point of coincidence by using simulation functions in the context of metric spaces and prove some interesting results.
Our results generalize the corresponding results of \cite{An3}, \cite{Af}, \cite{Kh1}, \cite{LACR} and \cite{OlG} in several directions. Also, we provide an example which shows
that our main result is a proper generalization of the result of Jungck [American Math. Monthly 83(1976) 261-263], L-de-Hierro et al. [J. Comput. Appl. Math 275(2015) 345-355] and of Olgun et al. [Turk. J. Math.
(2016) 40:832-837].
and uniqueness of point of coincidence by using simulation functions in the context of metric spaces and prove some interesting results.
Our results generalize the corresponding results of \cite{An3}, \cite{Af}, \cite{Kh1}, \cite{LACR} and \cite{OlG} in several directions. Also, we provide an example which shows
that our main result is a proper generalization of the result of Jungck [American Math. Monthly 83(1976) 261-263], L-de-Hierro et al. [J. Comput. Appl. Math 275(2015) 345-355] and of Olgun et al. [Turk. J. Math.
(2016) 40:832-837].
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