Topology of Soft Cone Metric Spaces

  • Author(s) in the Institution Dağıstan ŞİMŞEK
  • Author/s Ismet Altintas, Dagistan Simsek, Kemal Taskopru
  • URL http://aip.scitation.org/doi/abs/10.1063/1.5000605
  • Publication type Proceedings Paper
  • Publication year 2017
  • Index Type CPCI-S
    Scopus
  • DOI 10.1063/1.5000605
  • Publisher AIP Publishing
  • Source AIP Conference Proceedings 1880, ( 1 ), pp.Article Number: 030006 -
  • Subject Headings fixed-point theorems
    sets
    reduction

In Simsek's paper it was introduced a concept of soft cone metric space via soft elements and some fixed point theorems in soft cone metric space were provided. In this work, we examine topological structures such as open ball, soft neighbourhood and soft open set in soft metric spaces and their some properties, and prove that every soft cone metric space under some condition is a soft topological space according to elementary operations on soft sets.

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Publication Name
(dc.title)		Topology of Soft Cone Metric Spaces
Author/s
(dc.contributor.yazarlar)		Ismet Altintas, Dagistan Simsek, Kemal Taskopru
Publication type
(dc.type)		Konferans Bildirisi
Language
(dc.language)		İngilizce
Publication year
(dc.date.issued)		2017
National/International
(dc.identifier.ulusaluluslararasi)		Uluslararası
Source
(dc.relation.journal)		AIP Conference Proceedings
Additional source name / Conference information
(dc.identifier.kaynakadiekbilgi)		International Conference “Functional Analysis In Interdisciplinary Applications” (Faia2017).- 2–5 October 2017.- Astana, Kazakhstan
Number
(dc.identifier.issue)		1
Volume/Issue
(dc.identifier.volume)		1880
Page
(dc.identifier.startpage)		Article Number: 030006
ISSN/ISBN
(dc.identifier.issn)		ISBN: 978-0-7354-1560-7; ISSN: 0094-243X
Publisher
(dc.publisher)		AIP Publishing
Databases
(dc.contributor.veritaban)		Web of Science Core Collection
Databases
(dc.contributor.veritaban)		AIP Publishing
Databases
(dc.contributor.veritaban)		Scopus
Index Type
(dc.identifier.index)		CPCI-S
Index Type
(dc.identifier.index)		Scopus
Abstract
(dc.description.abstract)		In Simsek's paper it was introduced a concept of soft cone metric space via soft elements and some fixed point theorems in soft cone metric space were provided. In this work, we examine topological structures such as open ball, soft neighbourhood and soft open set in soft metric spaces and their some properties, and prove that every soft cone metric space under some condition is a soft topological space according to elementary operations on soft sets.
URL
(dc.rights)		http://aip.scitation.org/doi/abs/10.1063/1.5000605
DOI
(dc.identifier.doi)		10.1063/1.5000605
Faculty / Institute
(dc.identifier.fakulte)		Fen Fakültesi
Department
(dc.identifier.bolum)		Uygulamalı Matematik ve Enformatik Bölümü
Author(s) in the Institution
(dc.contributor.author)		Dağıstan ŞİMŞEK
Kayıt No
(dc.identifier.kayitno)		BLFE8792BC
Record Add Date
(dc.date.available)		2017-12-28
Notes (Publication year)
(dc.identifier.notyayinyili)		11 September 2017
Wos No
(dc.identifier.wos)		WOS:000417411800006
Subject Headings
(dc.subject)		fixed-point theorems
Subject Headings
(dc.subject)		sets
Subject Headings
(dc.subject)		reduction
Analyzes
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