Fixed Points And Fractals With Strong Coupling Were Obtained Using Neutrtrophic Metric Spaces

Abstract

In this paper, the author defined strong coupled fixed point, cyclic, Hutchinson operator, coupling, Neutrosophic Iterated Coupling System(NICS),  strong coupled fractal and neutrosophic contractive coupling in Neutrosophic Metric Space (NMS).  We used an example to demonstrate that there is a single strong coupled fixed point in a neutrosophic contractive coupling with regard to non-empty closed subsets in NMS.  Also, we  have proved that Hutchinson operator is a neutrosophic contractive coupling.  Next, we have proved that there is a unique strong coupled fractal in NICS.