Fuzzy normed linear space valued sequence space lpF (X).

Authors

  • Paritosh Chandra Das Rangia College.

DOI:

https://doi.org/10.4067/10.4067/S0716-09172017000200245

Keywords:

Fuzzy real number, Fuzzy normed linear space, Monotone, Solid space, Convergence free and symmetricity

Abstract

In this article we define the notion of fuzzy normed linear space valued sequence space lFp (X), 1 ≤ p < ∞ in a fuzzy normed linear space X and discuss some of its properties like completeness, monotone, solidness, convergence free and symmetricity. Also we prove some inclusion results.

Author Biography

Paritosh Chandra Das, Rangia College.

Department of Mathematics, Rangia College.

References

DAS, P. C. (2014) Statistically convergent fuzzy sequence spaces by fuzzy metric. EN: Kyungpook Math. Journal, 54(3). [s.l.: s.n.], 413-423.

DAS, P. C. (2014) p-absolutely Summable Type Fuzzy Sequence Spaces by Fuzzy Metric. EN: Boletim da Sociedade Paranaense de Matemtica, 32(2). [s.l.: s.n.], 35-43.

FELBIN, C. (1992) Finite dimensional fuzzy normed linear space. EN: Fuzzy Sets and Systems, 48. [s.l.: s.n.], 239-248.

KELAVA, O. (1984) On fuzzy metric spaces. EN: Fuzzy Sets and Systems, 12. [s.l.: s.n.], 215-229.

MATLOKA, M. (1986) Sequences of fuzzy numbers. EN: BUSEFAL, 28. [s.l.: s.n.], 28-37.

SUBRAHMANYAM, P. V. (1999) Cesaro Summability for fuzzy real numbers. EN: J. Analysis, 7. [s.l.: s.n.], 159-168.

TRIPATHY, B. C. (2012) On almost statistical convergence of new type of generalized difference sequence of fuzzy numbers. EN: Iranian Journal of Science and Technology, Transacations A Science, 36(2). [s.l.: s.n.], 147-155.

TRIPATHY, B. C. (2014) Statistically pre-Cauchy fuzzy realvalued sequences defined by Orlicz function. EN: Proyecciones Journal of Mathematics, 33(3). [s.l.: s.n.], 235-243.

TRIPATHY, B. C. (2015) Lacunary I-convergent sequences of fuzzy real numbers. EN: Proyecciones Journal of Mathematics, 34(3). [s.l.: s.n.], 205-218.

TRIPATHY, B. C. (2008) Sequence spaces of fuzzy real numbers defined by Orlicz functions. EN: Math. Slovaca, 58(5). [s.l.: s.n.], 621-628.

TRIPATHY, B. C. (2013) On generalized difference sequence spaces of fuzzy numbers; Acta Scientiarum Technology, 35(1). [s.l.: s.n.], 117-121.

Published

2017-06-02

How to Cite

[1]
P. C. Das, “Fuzzy normed linear space valued sequence space lpF (X).”, Proyecciones (Antofagasta, On line), vol. 36, no. 2, pp. 245-255, Jun. 2017.

Issue

Section

Artículos