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On a class of difference sequences related to the p-normed space lp

100%

Tripathy B. C.

tom Vol. 36, nr 4

867--872

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.

Coincidence and common fixed point theorems for hybrid contractions in symmetric spaces

100%

Vijaywar Y. K. , Bawa N. P. S. , Shrivastava P. K.

2012

tom Vol. 45, nr 3

611-620

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.

Altering distances, fixed point for occasionally hybrid mappings and applications

86%

Popa V. , Patriciu A. M.

2012

tom Nr 49

101--112

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.

Generalized altering distances and fixed point for occasionally hybrid mappings

86%

Marzouki B. , El Haddouchi A.

tom Nr 56

111--120

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.

Statistically convergent difference double sequence spaces defined by Orlicz function

86%

Sarma B.

2012

tom Nr 49

137--144

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.

On symmetric spaces containing isomorphic copies of Orlicz sequence spaces

86%

Astashkin S.

tom 56

nr 1

Let an Orlicz function \(N\) be \((1+\varepsilon)\)-convex and \((2-\varepsilon)\)-concave at zero for some \(\varepsilon>0.\) Then the function \(1/N^{-1}(t)\), \(t\in(0,1]\), belongs to a separable symmetric space \(X\) with the Fatou property, which is an interpolation space with respect to the couple \((L_1,L_2)\), whenever \(X\) contains a strongly embedded subspace isomorphic to the Orlicz sequence space \(l_N\). 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