In this paper we prove the strong and Delta-convergence theorems of an iteration process of Khan et al. (J. Appl. Math. Comput. 35 (2011) 607-616) for three finite families of total asymptotically nonexpansive nonself ...

Altay and Basar (2005) [1] and Altay, Basar and Mursaleen (2006) [2] introduced the Euler sequence spaces e(0)(t), e(c)(t) and e(infinity)(t). Basarir and Kayikci (2009) [3] defined the B-(m)-difference matrix and studied ...

This paper presents new definitions which are a natural combination of the definition for asymptotically equivalence Delta-lacunary statistically convergence. Using this definitions we have proved the S-theta(L) ...

In the present paper we have defined a new space called a BA-cone metric space by taking a Banach algebra instead of a Banach space. Some common fixed point theorems involving rational expressions have been proved and some ...

We define the new generalized difference Riesz sequence spaces r(infinity)(q)(p, B-m), r(c)(q)(p, B-m), and r(0)(q)(p, B-m) which consist of all the sequences whose B-m-transforms are in the Riesz sequence spaces ...

The object of this paper is to introduce some new sequence spaces related with the concept of lacunary strong almost convergence for double sequences and also to characterize these spaces through sublinear functionals that ...

In this paper, we introduce some new spaces of almost convergent sequences derived by Riesz mean and the lacunary sequence in a real n-normed space. By combining the definitions of lacunary sequence and Riesz mean, we ...

We introduce the generalized Riesz difference sequence space r(q)(p, B-m) which is defined by r(q)(p, B-m) = {x = (x(k)) is an element of w : B(m)x is an element of r(q)(p)} where r(q)(p) is the Riesz sequence space defined ...

In this article, using generalized weighted mean and difference matrix of order m, we introduce the paranormed sequence space l(u, v, p; Delta((m))), which consist of the sequences whose generalized weighted Delta((m))-difference ...

MSC: 47H09, 47H10.