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1
Content available remote Generalized altering distances and fixed point for occasionally hybrid mappings
Marzouki B., El Haddouchi A.
Fasciculi Mathematici
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2016
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Nr 56
111--120
EN
In this work we are interested in the generalization of the result which is in the article [20]. To realize this, we weaken the two conditions that are : weakly altering distance and occasionally weakly compatible, then we neglect the distance altered because of some changes in theorem.
2
Content available remote On symmetric spaces containing isomorphic copies of Orlicz sequence spaces
Astashkin S.
Commentationes Mathematicae
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2016
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Vol 56, No. 1
29--44
EN
Let an Orlicz function N be (1+ε)-convex and (2−ε)-concave at zero for some ε>0. Then the function 1/N−1(t), t∈(0,1], belongs to a separable symmetric space X with the Fatou property, which is an interpolation space with respect to the couple (L1,L2), whenever X contains a strongly embedded subspace isomorphic to the Orlicz sequence space lN. On the other hand, we find necessary and sufficient conditions on such an Orlicz function N under which a sequence of mean zero independent functions equimeasurable with the function 1/N−1(t), 0-1(t), a strongly embedded subspace isomorphic to the Orlicz sequence lN.
3
Content available remote Some classes of ideal convergent difference sequence spaces of fuzzy numbers defined by Orlicz function
Hazarika B
Fasciculi Mathematici
|
2014
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Nr 52
45--63
EN
An ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. In [25], Kostyrko et. al introduced the concept of ideal convergence as a sequence (xk) of real numbers is said to be I-convergent to a real number l, if for each Ɛ > 0 the set {k N : |xk - l| > Ɛ} belongs to I. In this article we introduce the concept of ideal convergent sequence of fuzzy numbers using difference operator and Orlicz functions and study their basic facts. Also we investigate the different algebraic and topological properties of these classes of sequences.
4
Content available remote Hybrid fixed point theorems in symmetric spaces via common limit range property
Imdad M., Chauhan S., Soliman A. H., Ahmed M. A.
Demonstratio Mathematica
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2014
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Vol. 47, nr 4
949--962
EN
In this paper, we point out that some recent results of Vijaywar et al. (Coincidence and common fixed point theorems for hybrid contractions in symmetric spaces, Demonstratio Math. 45 (2012), 611–620) are not true in their present form. With a view to prove corrected and improved versions of such results, we introduce the notion of common limit range property for a hybrid pair of mappings and utilize the same to obtain some coincidence and fixed point results for mappings defined on an arbitrary set with values in symmetric (semi-metric) spaces. Our results improve, generalize and extend some results of the existing literature especially due to Imdad et al., Javid and Imdad, Vijaywar et al. and some others. Some illustrative examples to highlight the realized improvements are also furnished.
5
Content available remote Common fixed point theorems under contractive conditions of integral type in symmetric spaces
Merghadi F., Godet-Thobie C.
Demonstratio Mathematica
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2013
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Vol. 46, nr 4
757--780
EN
The purpose of this paper is to prove common fixed point theorems for a family of mappings in symmetric spaces using the property (E.A) and weak compatibility or occasionally weak compatibility. Our results extend some recent results.
6
Content available remote Statistically convergent difference double sequence spaces defined by Orlicz function
Sarma B.
Fasciculi Mathematici
|
2012
|
Nr 49
137--144
EN
In this article we introduce some statistically convergent difference double sequence spaces defined by Orlicz function. Completeness of the spaces will be proved. We study some of their other properties like solidness, symmetricity etc. and prove some inclusion results.
7
Content available remote Altering distances, fixed point for occasionally hybrid mappings and applications
Popa V., Patriciu A M
Fasciculi Mathematici
|
2012
|
Nr 49
101--112
EN
The purpose of this paper is to prove a general fixed point theorem by altering distance for two pairs of hybrid occasionally weakly compatible mappings and to reduce the study of fixed points of pairs of mappings satisfying a contractive condition of integral type at the study of fixed point in symmetric spaces by altering distance satisfying an implicit relation.
8
Content available remote Coincidence and common fixed point theorems for hybrid contractions in symmetric spaces
Vijaywar Y. K., Bawa N. P. S., Shrivastava P. K.
Demonstratio Mathematica
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2012
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Vol. 45, nr 3
611-620
EN
Using compatibility of type (N) and (E-A) property of hybrid pair of mappings we obtain some new coincidence and common fixed point theorems under strict contractive conditions in symmetric (semi-metric) space.
9
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.
10
Content available remote Statistically convergent difference sequence spaces of fuzzy real numbers
Tripathy B. C., Das P. C.
Fasciculi Mathematici
|
2008
|
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
|
2008
|
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 On CR submanifolds nearly and closely Lorentzian para cosymplectic manifolds
Gill H., Dube K.
Demonstratio Mathematica
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2005
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Vol. 38, nr 2
451--459
13
Content available remote On a class of difference sequences related to the p-normed space lp
Tripathy B. Ch.
Demonstratio Mathematica
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2003
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Vol. 36, nr 4
867--872
EN
In this article we introduce the difference sequence space m (Δ,φ,p), 0 < p < 1, which is related to the p-normed space lp(Δ) (i.e. bvp). We study its different properties like solidity, symmetricity, completeness etc. We prove some inclusion results and verify its relations with the other sequence spaces.
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