A new solution to the Rhoades’ open problem with an application

Nihal Özgür; Nihal Taş

doi:10.2478/ausm-2021-0026

Abstract

We give a new solution to the Rhoades’ open problem on the discontinuity at fixed point via the notion of an S-metric. To do this, we develop a new technique by means of the notion of a Zamfirescu mapping. Also, we consider a recent problem called the “fixed-circle problem” and propose a new solution to this problem as an application of our technique.

References

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A new solution to the Rhoades’ open problem with an application

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