Normed Ordered and E-Metric Spaces
Joint Authors
Khandaqji, Muna
al-Rawashdeh, Ahmed Saleh
Shatanawi, Wasfi A.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-10
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In 2007, Haung and Zhang introduced the notion of cone metric spaces.
In this paper, we define an ordered space E, and we discuss some properties and examples.
Also, normed ordered space is introduced.
We recall properties of ℝ, and we discuss their extension to E.
We introduce the notion of E-metric spaces and characterize cone metric space.
Afterwards, we get generalizations of notions of convergence and Cauchy theory.
In particular, we get a fixed point theorem of a contractive mapping in E-metric spaces.
Finally, by extending the notion of a contractive sequence in a real-valued metric space, we show that in E-metric spaces, a contractive sequence is Cauchy.
American Psychological Association (APA)
al-Rawashdeh, Ahmed Saleh& Shatanawi, Wasfi A.& Khandaqji, Muna. 2012. Normed Ordered and E-Metric Spaces. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-459264
Modern Language Association (MLA)
al-Rawashdeh, Ahmed Saleh…[et al.]. Normed Ordered and E-Metric Spaces. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-459264
American Medical Association (AMA)
al-Rawashdeh, Ahmed Saleh& Shatanawi, Wasfi A.& Khandaqji, Muna. Normed Ordered and E-Metric Spaces. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-459264
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459264