用一个应用程序解决Rhoades的开放性问题

IF 0.6 Q3 MATHEMATICS

Acta Universitatis Sapientiae-Mathematica Pub Date : 2019-10-27 DOI:10.2478/ausm-2021-0026

N. Özgür, N. Taş

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引用次数: 0

摘要

利用s度规的概念，给出了关于不动点不连续的Rhoades开问题的一种新解。为了做到这一点，我们通过Zamfirescu映射的概念开发了一种新技术。此外，我们考虑了一个最近的问题，称为“固定圆问题”，并提出了一个新的解决方案，作为我们的技术的应用。

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

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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