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arXiv:1910.12304 [math.FA]AbstractReferencesReviewsResources

A New Solution to the Rhoades' Open Problem with an Application

Nihal Özgür, Nihal Taş

Published 2019-10-27Version 1

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 inspire with 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.

Comments: 10 pages
Categories: math.FA, math.MG
Subjects: 54H25, 47H09, 47H10
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