A new solution to the Rhoades’ open problem with an application
2021 ◽
Vol 13
(2)
◽
pp. 427-441
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.
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2005 ◽
Vol 25
(1_suppl)
◽
pp. S543-S543