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Some New Type of Fuzzy I-Convergent Double Difference Sequence Spaces  [PDF]
Santanu Roy
International Journal of Soft Computing & Engineering , 2012,
Abstract: In this paper we introduce some new classesof double difference sequence spaces of fuzzy numbers.We study different topological properties of thesesequence spaces like completeness, solidity etc. Also weobtain some inclusion relation involving these sequencespaces.
On Some I-Convergent Double Sequence Spaces Defined by a Modulus Function  [PDF]
Vakeel. A. Khan, Nazneen Khan
Engineering (ENG) , 2013, DOI: 10.4236/eng.2013.55A006
Abstract: In 2000, Kostyrko, Salat, and Wilczynski introduced and studied the concept of I-convergence of sequences in metric spaces where I is an ideal. The concept of I-convergence has a wide application in the field of Number Theory, trigonometric series, summability theory, probability theory, optimization and approximation theory. In this article we introduce the double sequence spaces \"\" and \"\",for a modulus function f and study some of the properties of these spaces.

Statistically convergent double sequences  [cached]
Binod Chandra Tripathy
Tamkang Journal of Mathematics , 2003, DOI: 10.5556/j.tkjm.34.2003.231-237
Abstract: In this aricle we introduce the notion of density of subsets of $ N imes N $. Using this concept we introduce the notion of statistically convergent double sequences and statistically Cauchy double sequences. The decomposition theorem is proved. The inclusion relations are obtained. We have shown that the bounded statistically convergent in Pringsheim's sense sequence space is not separable. A relation between strongly $ p $-Cesaro summability of double sequences and bounded statistically convergent double sequences is established.
WEAKLY CONVERGENT SEQUENCE COEFFICIENT OF ORLICZ SEQUENCE SPACE
Orlicz序列空间的弱收敛序列系数

Wang Tingfu,Cui Yunan,
王廷辅

系统科学与数学 , 1997,
Abstract: in this paper, the weakly convergent sequence coefficient of Orlicz sequence spaces is calculated.
On Some Lacunary Almost Convergent Double Sequence Spaces and Banach Limits
Metin Ba ar r, ükran Konca
Abstract and Applied Analysis , 2012, DOI: 10.1155/2012/426357
Abstract: The object of this paper is to introduce some new sequence spacesrelated with the concept of lacunary strong almost convergence for double sequences and also to characterize these spaces through sublinear functionals thatboth dominate and generate Banach limits and to establish some inclusionrelations.
The fuzzy I convergent Gamma_{(Delta,p)}^{2I(F)} space defined by modulus
N. Subramanian,P. Anbalagan,P. Thirunavukarasu
Applied Mathematical Sciences , 2013,
Abstract: The aim of this paper is to introduce and study a new concept of the fuzzy $I-$ convergent $Gamma^{2I(F)}_{(Delta,p)}$ defined by modulus and also some topological properties of the resulting sequence spaces of fuzzy numbers were examined.
On Some I-Convergent Sequence Spaces Defined by a Modulus Function  [cached]
Vakeel A. Khan,Khalid Ebadullah
Theory and Applications of Mathematics & Computer Science , 2011,
Abstract: In this article we introduce the sequence spaces cI0(f), cI(f) and lI∞(f) for a modulus function f and study some of the properties of these spaces.
On -Statistically Convergent Double Sequences of Fuzzy Numbers
Sava? Ekrem
Journal of Inequalities and Applications , 2008,
Abstract: We study the notion of -statistically convergent for double sequence of fuzzy numbers and also get some inclusion relations.
On ˉ-Statistically Convergent Double Sequences of Fuzzy Numbers  [cached]
Ekrem Sava?
Journal of Inequalities and Applications , 2008, DOI: 10.1155/2008/147827
Abstract: We study the notion of ˉ-statistically convergent for double sequence of fuzzy numbers and also get some inclusion relations.
Statistically Convergent Double Sequence Spaces in 2-Normed Spaces Defined by Orlicz Function  [PDF]
Vakeel A. Khan, Sabiha Tabassum
Applied Mathematics (AM) , 2011, DOI: 10.4236/am.2011.24048
Abstract: The concept of statistical convergence was introduced by Stinhauss [1] in 1951. In this paper, we study con- vergence of double sequence spaces in 2-normed spaces and obtained a criteria for double sequences in 2-normed spaces to be statistically Cauchy sequence in 2-normed spaces.
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