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1
Fuzzy δ-I-continuity in mixed fuzzy ideal topological spaces
Tripathy B. C., Ray G. C.
Journal of Applied Analysis
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2018
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Vol. 24, nr 2
233--239
EN
The aim of this paper is to introduce a new concept of fuzzy δ-I-continuity between mixed fuzzy ideal topological spaces and investigate some properties of this mapping.
2
Best approximation in quotient probabilistic normed space
Sen M., Nath S., Tripathy B. C.
Journal of Applied Analysis
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2017
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Vol. 23, nr 1
53--57
EN
In this article, we study the best approximation in quotient probabilistic normed space. We define the notion of quotient space of a probabilistic normed space, then prove some theorems of approximation in quotient space are extended to quotient probabilistic normed space.
3
Content available remote Ordered vector valued double sequence spaces
Dey R., Das N. R., Tripathy B. C.
Fasciculi Mathematici
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2015
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Nr 55
29--34
EN
In this paper we have introduced an order relation on convergent double sequences and have constructed an ordered vector space, Riesz space, order complete vector space in case of double sequences. We have verified the Archimedean property.
4
Content available remote On lacunary p-absolutely summable fuzzy real-valued double sequence space
Dutta A. J., Esi A., Tripathy B. C.
Demonstratio Mathematica
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2014
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Vol. 47, nr 3
652--661
EN
In this article, we introduce the class of p-absolutely summable fuzzy real valued double sequence (…). We have studied some algebraic properties like solid, symmetric, convergence free, sequence algebra. Further, we establish some relation with the class of p-Cesàro summable double sequences and some other important inclusion results.
5
Content available remote Some difference paranormed sequence spaces defined by Orlicz functions
Tripathy B. C., Dutta H.
Fasciculi Mathematici
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2009
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Nr 42
121-131
EN
In this paper we introduce the difference paranormed sequence spaces ...[wzór] respectively. We study their different properties like completeness, solidity, monotonicity, symmetricity etc.We also obtain some relations between these spaces as well as prove some inclusion results.
6
Content available remote On some classes of difference double sequence spaces
Tripathy B.C.
Fasciculi Mathematici
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2009
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Nr 41
135-142
EN
In this article we introduce the difference double sequence spaces &some;defined over a seminormed space (X,q), seminormed by q. We examine some topological and algebraic properties of these spaces like symmetricity, solidness, monotonoc-ity, convergence free, nowhere densenes etc. We prove some inclusion results too.
7
Content available remote Vector valued paranormed l(p) spaces associated with multiplier sequences
Tripathy B. C., Sen M.
Fasciculi Mathematici
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2008
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Nr 39
125-133
8
Content available remote The sequence space m(Φ, Δm, p)F
Tripathy B. C., Borgohain S.
Fasciculi Mathematici
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2008
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Nr 39
87-96
EN
The sequence space m(øΔmp)F of fuzzy real numbers for 0 < p < 1 and 1 < p < ∞, are introduced. Some properties of the sequence space like solidness. symmetricity, convergence-free etc. are studied.
9
Content available remote The double sequence space Γ2
Subramanian N., Tripathy B. C., Murugesan C.
Fasciculi Mathematici
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2008
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Nr 40
91-103
EN
Let Γ2 denote the space of all prime sense double entire sequences and Λ2 the space of all prime sense double analytic sequences. This paper is devoted to the general properties of Γ2.
10
Content available remote Statistically convergent difference sequence spaces of fuzzy real numbers
Tripathy B. C., Das P. C.
Fasciculi Mathematici
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2008
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Nr 39
97-112
EN
In this article we introduce the notion of statistical convergence difference sequences of fuzzy real numbers, cF(A). We study some properties of the statistically convergent and statistically null difference sequence spaces of fuzzy real numbers, like completeness, solidness, sequence algebra, symmetricity, convergence free, nowhere denseness and some inclusion results.
11
Content available remote Some paranormed difference double sequence spaces defined by Orlicz function
Tripathy B. C., Sarma B.
Fasciculi Mathematici
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2008
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Nr 39
113-124
EN
In this article we introduce some vector valued difference paranormed double sequence spaces defined by Orlicz function. We study some of their properties like solidness, symmetric-ity, completeness etc. and prove some inclusion results.
12
Content available remote Some classes of difference sequences of fuzzy real numbers
Tripathy B. C., Das P. C.
Fasciculi Mathematici
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2008
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Nr 40
105-117
EN
In this article we disscuss some properties of the classes of difference sequences cF (Δ), cF0 (Δ) and of lF∞ fuzzy real numbers, like solidness, symmetricity, sequence algebra, con- vergence free, nowhere denseness and prove some inclusion results.
13
Content available remote On some generalized new type difference sequence spaces defined by a modulus function in a seminformed space
Esi A., Tripathy B. C.
Fasciculi Mathematici
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2008
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Nr 40
15-24
EN
The idea of difference sequence spaces were introduced by Kizmaz [6] and generalized by Et. and Colak [4]. Later Tripathy, Esi and Tripathy [15] introduced the notion of the new difference operator Δnm for n, m ∈ N. In this paper we introduced some new type of generalized difference sequence spaces defined by a modulus function and the new type of statistically convergent generalized difference sequence space. We study their different properties and obtain some inclusion relations involving these new type difference sequence spaces.
14
Content available remote Generalized Köthe-Toeplitz dual of some double sequence spaces
Tripathy B. C., Sarma B.
Fasciculi Mathematici
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2008
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Nr 40
119-125
EN
In this article we introduce the notion of η-dual of double sequence spaces. We find the η-dual of some double sequence spaces. We verify the perfectness of different double sequence spaces relative to η-dual.
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