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On ideal convergence of double sequences in probabilistic normed spaces
dc.contributor.author | Lafuerza Guillén, Bernardo | |
dc.contributor.author | Kumar, Vijay | |
dc.date.accessioned | 2014-06-17T08:34:44Z | |
dc.date.available | 2014-06-17T08:34:44Z | |
dc.date.issued | 2011-06-23 | |
dc.identifier.citation | DOI: 10.1007/s10114-012-9321-1 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10835/2754 | |
dc.description.abstract | The notion of ideal convergence is a generalization of statistical convergence wich has been intensively investigated in last few years. For an admisible ideal f in NxN, the aim of the present paper is to introduce the concepts of f-convergence and f^*-convergence for double sequences on probabilistic normed spaces (PN spaces for short). We give some relations related to these notions and find conditions on the ideal f for which both the notions coincide. We also define f-Cauchy and f^*-Cauchy double sequences on PN spaces and show that f-convergent double sequences are f-Cauchy on these spaces. We establish example which shows that our method of convergence for double sequences on PN spaces is more general. | es_ES |
dc.language.iso | en | es_ES |
dc.publisher | Acta Mathematica Sinica, English Series | es_ES |
dc.source | Pu blished online: February 21, 2012 | es_ES |
dc.subject | Mathematics | es_ES |
dc.subject | Probabilistic Normed Spaces | es_ES |
dc.title | On ideal convergence of double sequences in probabilistic normed spaces | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherversion | Http://www.ActaMath.com | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |