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On algebraic properties of soft real points
Fixed Point Theory and Applications Pub Date : 2019-05-20 , DOI: 10.1186/s13663-019-0659-2
Sabir Hussain , Hurmet Fulya Akiz , Amlak Ibrahim Alajlan

In this paper, we introduce and discuss soft single points, which proceed towards soft real points by using real numbers and subsets of set of real numbers. We also define the basic operations on soft real points and explore the algebraic properties. We observe that the set of all soft real points forms a ring. Moreover, we study the soft real point metric using soft real point and explore some of its properties. We then establish a soft real point contraction fixed point theorem using soft real point metric space. It is interesting to mention that these concepts may be helpful for researchers to navigate the ideas put forth in a soft metric extension of several important fixed point theorems for metric spaces deduced from comparable existing results.

中文翻译:

关于软实点的代数性质

在本文中,我们介绍并讨论了软单点,这些单点通过使用实数和实数集的子集向软实点发展。我们还定义了关于软实点的基本运算,并探索了代数性质。我们观察到所有软实点的集合形成一个环。此外,我们使用软实点研究软实点度量,并探索其某些属性。然后,我们使用软实点度量空间建立软实点收缩不动点定理。有趣的是,这些概念可能对研究人员在从可比较的现有结果推导出的度量空间的几个重要不动点定理的软度量扩展中进行导航时提出的想法很有帮助。
更新日期:2019-05-20
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