Quotient probabilistic normed spaces and completeness results

Bernardo Lafuerza-Guillén; Donal O'Regan; Reza Saadati

doi:10.1007/s12044-007-0005-1

Quotient probabilistic normed spaces and completeness results

Bernardo Lafuerza-Guillén, Donal O'Regan, Reza Saadati

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

We introduce the concept of quotient in PN spaces and give some examples. We prove some theorems with regard to the completeness of a quotient.

Original language	English
Pages (from-to)	61-70
Number of pages	10
Journal	Proceedings of the Indian Academy of Sciences: Mathematical Sciences
Volume	117
Issue number	1
DOIs	https://doi.org/10.1007/s12044-007-0005-1
Publication status	Published - Feb 2007

Keywords

σ -product
Probabilistic norm
Probabilistic normed space
Quotient probabilistic normed space
Triangle functions

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10.1007/s12044-007-0005-1

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title = "Quotient probabilistic normed spaces and completeness results",

abstract = "We introduce the concept of quotient in PN spaces and give some examples. We prove some theorems with regard to the completeness of a quotient.",

keywords = "σ -product, Probabilistic norm, Probabilistic normed space, Quotient probabilistic normed space, Triangle functions",

author = "Bernardo Lafuerza-Guill{\'e}n and Donal O'Regan and Reza Saadati",

year = "2007",

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AU - O'Regan, Donal

AU - Saadati, Reza

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AB - We introduce the concept of quotient in PN spaces and give some examples. We prove some theorems with regard to the completeness of a quotient.

KW - σ -product

KW - Probabilistic norm

KW - Probabilistic normed space

KW - Quotient probabilistic normed space

KW - Triangle functions

UR - https://www.scopus.com/pages/publications/34248226460

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JO - Proceedings of the Indian Academy of Sciences: Mathematical Sciences

JF - Proceedings of the Indian Academy of Sciences: Mathematical Sciences

IS - 1

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Quotient probabilistic normed spaces and completeness results

Abstract

Keywords

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