[PDF] Top 20 1.Rough convergence in 2-normed spaces
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1.Rough convergence in 2-normed spaces
... of 2-normed spaces was initially introduced by G¨ ahler [8, 9] in the ...statistical convergence, statistical Cauchy sequence and investigated some properties of statistical convergence ... See full document
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Lacunary Statistical Convergence in Fuzzy Normed Linear Spaces
... Let X be a vector space over R , let . : X → L ∗ ( ) R and the mappings L R ; (respectively, left norm and right norm) : 0,1 [ ] [ ] [ ] × 0,1 → 0,1 be symetric, nondecreasing in both arguments and satisfy L ( ) 0, 0 = 0 ... See full document
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1. On $\nabla _{2}$-Statistical Convergence of Double Sequences of order $\alpha $ in Random 2-Normed Space
... statistical convergence and its generalizations appears to have been restricted to real or complex sequences, but in recent years these ideas have been also extended to the sequences in fuzzy normed [40] ... See full document
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On generalized A difference strongly summable sequence spaces defined by ideal convergence on a real n normed space
... ⊂ 2 X (the class of all subsets of X) is called an ideal if and only if for each A, B Î I, we have A ∪ B Î I and for each A Î I and each B ⊂ A, we have B Î ...⊂ 2 X is a filter on X if and only if F ∉ F, ... See full document
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Statistical Convergence of Double Sequences on Probabilistic Normed Spaces
... metric spaces are probabilistic normed ...probabilistic normed spaces is important as a generaliza- tion of deterministic results of linear normed ...probabilistic normed ... See full document
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On strictly convex and strictly 2 convex 2 normed spaces II
... Motivated by the concepts of bounded linear functionals, and duality mappings on normed linear spaces [2, 9], bounded linear 2-functionals on 2-normed spaces were introduced by White [15[r] ... See full document
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Wijsman Rough Lacunary Statistical Convergence on I Cesaro Triple Sequences
... sequence spaces x is Wijsman r− statistically convergent in the sense of definition ...Wijsman rough statistical limit of a triple sequence may not unique for the Wijsman roughness degree r > ... See full document
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Seminormed double sequence spaces of four dimensional matrix and Musielak–Orlicz function
... of 2-normed spaces, while that of n-normed spaces can be found in ...sequence spaces and n-normed spaces, see, for instance, [17, 26, 27, 31, 34–36, 41] and ... See full document
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Lacunary Δ statistical convergence in intuitionistic fuzzy n normed space
... The concept of lacunary statistical convergence was introduced in intuitionistic fuzzy n-normed spaces in Sen and Debnath (Math. Comput. Model. 54:2978-2985, 2011). In this article, we introduce the ... See full document
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Statistical limit superior and limit inferior in intuitionistic fuzzy normed spaces
... statistical convergence was first introduced by Fast [1] which was extended for double sequences in ...ordinary convergence have been extended to the theory of statistical convergence by using ... See full document
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The extensions of isometries between the 2-dimensional normed spaces
... As the advantageous tools in the research of normed linear spaces, isometric operator and linear operator have a vital meaning in the functional analysis. Metric geometry, space structure, equivalence ... See full document
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Stability of the quadratic functional equation in non-Archimedean L-fuzzy normed spaces
... On the other hand, the study of stability problems for functional equations is related to a question of Ulam [30] concerning the stability of group homomorphisms and affirmatively answered for Banach spaces by ... See full document
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On generalized double statistical convergence in a random 2 normed space
... statistical convergence has been studied in 2-normed and random 2-normed spaces by various ...statistical convergence and λ -double statistical Cauchy in a random ... See full document
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Normed Gyrolinear Spaces: A Generalization of Normed Spaces Based on Gyrocommutative Gyrogroups
... The positive cone of a unital C ∗ -algebra is a exapmle of a generalized gyrovector space (cf [1]). As Proposition 2.4, it is an example of a normed gyrolinear space. Example 2.8. Let A be a unital C ∗ ... See full document
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The Aleksandrov Problem in Non Archimedean 2 Fuzzy 2 Normed Spaces
... different spaces in ...non-Archimedean 2-fuzzy 2-normed spaces under some ...non-Archimedean 2-fuzzy 2-normed spaces according to [11] [12] [13] [14], then ... See full document
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Statistical Convergence and Ideal Convergence of Sequences of Functions in 2 Normed Spaces
... linear 2-normed spaces has been investigated by G¨ahler in the 60’s 10, 11 and this has been developed extensively in different subjects by others ...than 1, and ·, · be a nonnegative ... See full document
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On Some New Sequence Spaces in 2 Normed Spaces Using Ideal Convergence and an Orlicz Function
... of 2-normed space was initially introduced by G¨ahler 5 as an interesting nonlinear generalization of a normed linear space which was subsequently studied by many authors see, 6, ...sequence ... See full document
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Ideal convergence of double sequences in random 2 normed spaces
... Let X is a linear space of a dimension d, where ≤ d < ∞ . A -norm on X is a function · , · : X × X → R satisfying the following conditions: for every x, y ∈ X, (i) x, y = if and only if x and y are linearly ... See full document
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Statistically Convergent Double Sequence Spaces in 2 Normed Spaces Defined by Orlicz Function
... In order to extend the notion of convergence of sequen- ces, statistical convergence was introduced by Fast [2] and Schoenberg [3] independently. Later on it was fur- ther investigated by Fridy and ... See full document
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Statistical uniform convergence in $2$-normed spaces
... statistical convergence was introduced over nearly the last fifty years (Fast [3] in 1951, Schoenberg [19] in 1959), it has become an active area of research, especially in information theory, computer science, ... See full document
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