Open AccessI - convergence on cone metric spaces
Author(s) -
Sudip Kumar Pal,
Ekrem Savaş,
Hüseyi̇n Çakallı
Publication year - 2013
Publication title -
sarajevo journal of mathematics
Language(s) - English
Resource type - Journals
eISSN - 2233-1964
pISSN - 1840-0655
DOI - 10.5644/sjm.09.1.07
Subject(s) - mathematics , cone (formal languages) , metric space , metric (unit) , convergence (economics) , pure mathematics , geometry , algorithm , operations management , economics , economic growth
The concept of I{convergence is an important generaliza- tion of statistical convergence which depends on the notion of an ideal I of subsets of the set N of positive integers. In this paper we introduce the ideas of I{Cauchy and I {Cauchy sequences in cone metric spaces and study their properties. We also investigate the relation between this new Cauchy type condition and the property of completeness.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom