?-convergent sequences
On convergent sequences and fixed point theorems in D metric spaces
... every convergent sequence has at most two limits and in which there are convergent sequences having exactly two ...a convergent sequence, which converges to ev- ery element of the ...
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Inclusions Between the Spaces of Strongly Almost Convergent Sequences Defined by An Orlicz Function in A Seminormed Space
... The first attempts to found a theory of sequence spaces and infinite matrices in the last two decades of the nineteenth century were motivated by problems in Fourier series, power series and systems of equations with ...
5
Generalized lacunary Δm statistically convergent sequences of fuzzy numbers using a modulus function
... Generalized lacunary m-statistically convergent sequences of fuzzy numbers using a modulus function Parmeshwary Dayal Srivastava* and Sushomita Mohanta * Correspondence: [email protected][r] ...
13
Matrix transformations from absolutely convergent series to convergent sequences as general weighted mean summability methods
... Abstract. We prove the necessary and sufficient conditions for an infinity matrix to be a mapping, from absolutely convergent series to convergent sequences, which is treated as general weighted mean ...
6
Characterizations of contractive conditions by using convergent sequences
... There is a problem in the above list. The expressions as regards the conditions vary. So we cannot understand easily the relationship between the contractive conditions. Moti- vated by this, in this paper, we give ...
11
A characterization of open mapping in terms of convergent sequences
... [1, Theorem 1, page 34]). Also by definition, f is open if f (U) is open in Y , when- ever U is open in X . Does there exist a characterization of openness for f in terms of convergent sequences analogous ...
5
On some properties of new paranormed sequence space defined by λ2 convergent sequences
... 5 Some matrix transformations related to sequence space lλ2 , p In this section we will show some matrix transformations between the sequence space lλ , p and sequence spaces lq, c q, [r] ...
10
Sequence spaces of fuzzy numbers defined by a sequence of moduli
... In [9], Nanda studied the spaces of bounded and convergent sequences of fuzzy numbers and.. shown that they are complete metric spaces with the metric.[r] ...
12
Almost boundedness and matrix transformation
... $% " ∈ # , where # is a Banach space of ℓ " consisting of convergent sequences, then . = lim is a trivial example. Besides this there also exists non-convergent sequences satisfying ...
6
Some Orlicz extended ℐ convergent A summable classes of sequences of fuzzy numbers
... and convergent sequences of fuzzy numbers and studied some of their ...the sequences of fuzzy numbers were discussed by Diamond and Kloeden [], Nanda [], Esi [], Dutta [–] and many ...
10
Analogues of some fundamental theorems of summability theory
... double sequences and 4-dimensional RH-regular matrices that is analo- gous to Steinhaus’ ...is convergent to L, then all of its subsequences are convergent to ...characterized convergent ...
9
On some generalizations of statistical boundedness
... of convergent sequences was given by Fridy and Orhan [] by the formal introduction of the concept of statistical boundedness as follows: ‘The real number sequence x is statistically bounded if there is a ...
11
The second dual spaces of the sets of Λ strongly convergent and bounded sequences
... We write ω for the set of all complex sequences x = xk ∞ k=0 , φ, l∞ , c and c0 for the sets of all finite, bounded, convergent sequences, and sequences convergent to naught, respectively[r] ...
8
Quadratic approximation and its application to acceleration of convergence
... naturally to extrapolation by quadratic approximation and hence to new methods of accelerating the convergence of slowly convergent sequences using either the basic quadratic approximati[r] ...
207
On asymptotically double lacunary statistical equivalent sequences in ideal context
... real sequences was introduced in [, ...ideal convergent sequences of fuzzy real numbers and studied some basic properties of this ...equivalent sequences using ...
15
On some BK spaces
... We shall write s, c, c0 , and l∞ for the sets of all complex, convergent sequences, sequences convergent to zero, and bounded sequences, respectively.. We shall write cs and l1 for the s[r] ...
19
On statistical convergence and strong Cesàro convergence by moduli
... Cesàro convergent sequence is always f -statistically convergent and uniformly ...statistically convergent sequences are f-statistically convergent, that is, we show that ...
12
Some remarks about Mackey convergence
... In particular, we prove that: Mackey convergence and local completeness imply property K; there are spaces having K- convergent sequences that are not Mackey convergent; there exists a s[r] ...
6
O g-Statistical Convergence in Paranormed Spaces
... almost convergent sequences and la- cunary strongly almost convergent sequences via sequence of Orlicz functions over n-normed spaces and established some inclusion relations between these ...
15
On Statistically Convergent Double Sequences of Fuzzy Numbers
... all convergent se- quences of fuzzy numbers form a complete metric ...statistically convergent and lacunary statistically convergent sequences of fuzzy ...of sequences of fuzzy numbers, ...
6