On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces

The aim of this paper is to define the notions of ideal convergence, I-bounded for double sequences in setting of locally solid Riesz spaces and study some results related to these notions. We also define the notion of I*-convergence for double sequences in locally solid Riesz spaces and establish i...

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Main Authors:	A. Alotaibi, B. Hazarika, S. A. Mohiuddine
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2014/396254

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spelling	doaj-21fa061e884b42cbba6737576a9521a42020-11-24T21:20:20ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/396254396254On the Ideal Convergence of Double Sequences in Locally Solid Riesz SpacesA. Alotaibi0B. Hazarika1S. A. Mohiuddine2Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh 791112, IndiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThe aim of this paper is to define the notions of ideal convergence, I-bounded for double sequences in setting of locally solid Riesz spaces and study some results related to these notions. We also define the notion of I*-convergence for double sequences in locally solid Riesz spaces and establish its relationship with ideal convergence.http://dx.doi.org/10.1155/2014/396254
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	A. Alotaibi B. Hazarika S. A. Mohiuddine
spellingShingle	A. Alotaibi B. Hazarika S. A. Mohiuddine On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces Abstract and Applied Analysis
author_facet	A. Alotaibi B. Hazarika S. A. Mohiuddine
author_sort	A. Alotaibi
title	On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces
title_short	On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces
title_full	On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces
title_fullStr	On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces
title_full_unstemmed	On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces
title_sort	on the ideal convergence of double sequences in locally solid riesz spaces
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2014-01-01
description	The aim of this paper is to define the notions of ideal convergence, I-bounded for double sequences in setting of locally solid Riesz spaces and study some results related to these notions. We also define the notion of I*-convergence for double sequences in locally solid Riesz spaces and establish its relationship with ideal convergence.
url	http://dx.doi.org/10.1155/2014/396254
work_keys_str_mv	AT aalotaibi ontheidealconvergenceofdoublesequencesinlocallysolidrieszspaces AT bhazarika ontheidealconvergenceofdoublesequencesinlocallysolidrieszspaces AT samohiuddine ontheidealconvergenceofdoublesequencesinlocallysolidrieszspaces
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On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces

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