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Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) vol.37 no.2 Antofagasta jun. 2018

http://dx.doi.org/10.4067/S0716-09172018000200389 

Articles

Fuzzy normed linear sequence space

Paritosh Chandra Das1 

1Rangia College, Department of Mathematics, Rangia-781354; Assam, India. e-mail : daspc_rangia@yahoo.com

Abstract.

In this article we introduce the notion of class of sequences noindent , 1 ≤ p < ∞ with the concept of fuzzy norm. We study some of its properties such as completeness, solidness, symmeticity and convergence free. Also, we establish some inclusion results.

Key Words: Fuzzy real number; fuzzy normed linear space; monotone, solidness; convergence free and symmetricity.

Mathematics Subject Classification (2010): 40A05, 40D25, 03E72.

Texto completo disponible sólo en PDF.

Full text available only in PDF format.

References

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fn1* The work of the author is supported by University Grants Commission of India vide project No. F. 42-28/2013(SR), dated-12 March, 2013.

Received: October 2017; Accepted: November 2017

Creative Commons License This is an open-access article distributed under the terms of the Creative Commons Attribution License