On algebraic properties of soft real points

Autor:	Hurmet Fulya Akiz, Amlak Ibrahim Alajlan, Sabir Hussain
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Algebraic properties Soft real point metric T57-57.97 QA299.6-433 Real point Applied mathematics. Quantitative methods Applied Mathematics Astrophysics::High Energy Astrophysical Phenomena Fixed-point theorem Soft single points Soft real point contraction Algebra Soft real points Metric space Differential geometry Geometry and Topology Contraction (operator theory) Analysis Real number Mathematics
Zdroj:	Fixed Point Theory and Applications, Vol 2019, Iss 1, Pp 1-20 (2019)
ISSN:	1687-1812
DOI:	10.1186/s13663-019-0659-2
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b507d37087f23e7f62dc699571211ace http://link.springer.com/article/10.1186/s13663-019-0659-2 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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