Fuzzy normed linear space valued sequence space lpF (X).
DOI:
https://doi.org/10.4067/10.4067/S0716-09172017000200245Keywords:
Fuzzy real number, Fuzzy normed linear space, Monotone, Solid space, Convergence free and symmetricityAbstract
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.
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
How to Cite
Issue
Section
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.