Cauchy Sequence
On Weak Statistical Convergence
... The main object of this paper is to introduce a new concept of weak statistically Cauchy sequence in a normed space. It is shown that in a reflexive space, weak statistically Cauchy sequences are the ...
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5.Some Generalized Convergence Types using Ideals in Amenable Semigroups
... pre-Cauchy sequence and I-strongly p-summability for functions de- fined on discrete countable amenable semigroups and to examine some properties of these ...
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Sub Compatible and Sub Sequentially Continuous Maps in Intuitionistic Fuzzy Metric Space M. S. Chauhan a, Bharat Singhb Nayana Kadam c
... The present paper introduces the new concepts of sub compatibility and sub sequential continuity in intuitionistic fuzzy metric spaces which are weaker than occasionally weak compatibility and reciprocal continuity. We ...
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Review of Michael Dummett, Elements of Intuitionism
... When discussing the completeness of the intuitionistic continuum, viz., that every constructive Cauchy-sequence of intuitionistic reals has a constructive limit, Dummett rightly stresses[r] ...
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Isomorphism of Groups of Operators on Hilbert Space
... Keywords - Linear Space, Linear Transformation, Operator, Non singular Transformation, Norm, Normed Linear Space, Cauchy Sequence, Complete Metric Space, Banach Space[r] ...
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Vol 9, No 1 (2018)
... a sequence in X and 𝑥 ∈ 𝑋 ...be Cauchy sequence. (iii) If for every Cauchy sequence in X is convergent, then (X, d) is said to be a complete complex valued metric ...
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A short note on the equivalence between ‘best proximity’ points and ‘fixed point’ results
... Following the same lines as the proof of Theorem . in [], one can show that {Txn } is a Cauchy sequence in the complete metric space X, d.. Note that since g is an isometry, it is con[r] ...
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Vol 2, No 10 (2011)
... convergent sequence and Cauchy sequence in fuzzy normed linear space in ...convergent sequence and Cauchy sequence in fuzzy n-normed linear space and studied the completeness of ...
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Vol 3, No 3 (2012)
... T he aim of this paper to discuss about related fixed point theorem on n metric spaces. Generally, Fixed point theorems on two,three, four and five complete metric spaces have been proved by many authors. In this paper, ...
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Some results on 2-fuzzy n-normed linear spaces
... of cauchy sequence, convergence and completeness in fuzzy n-normed linear space in term of α -n-norms, and then we give some fundamental properties of this space and obtain necessary and sufficient ...
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On pointwise and uniform statistical convergence of order α for sequences of functions
... -statistically Cauchy sequence for sequences of real-valued functions and prove that it is equivalent to pointwise statistical convergence of order α for sequences of real-valued ...
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Completeness and compactness of the Cartesian product of two soft metric spaces
... Keywords: Soft metric space; Cartesian product; Cauchy sequence; Complete soft metric space; soft sequential compact metric space.. 2010 AMS Subject Classification: 46A19, 46A30.[r] ...
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Quasi-Slowly Oscillating Sequences in Locally Normal Riesz Spaces
... a Cauchy sequence involves far more than that the distance between successive terms is tending to ...A sequence (x n ) of points in R is called quasi-Cauchy if (∆x n ) is a null ...
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Vol 7, No 10 (2016)
... left- Cauchy sequence in the metric space (X, ...right-Cauchy sequence in the metric space (X, ...the sequence {𝑥𝑥 𝑛𝑛 } converges to a point u ∈ X in (X, 𝑎𝑎 𝑝𝑝 𝑞𝑞 ...
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1.Rough convergence in 2-normed spaces
... The concept of 2-normed spaces was initially introduced by G¨ ahler [8, 9] in the 1960’s. Since then, this concept has been studied by many authors. G¨ urdal and Pehlivan [13] studied statistical convergence, statistical ...
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Vol 9, No 1 (2018)
... convergent sequence, Cauchy sequence in generalized intuitionistic fuzzy metric space and some common fixed point theorems for some generalized contraction mappings are ...
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Vol 3, No 1 (2012)
... Gahler [4] introduced the theory of n-norm on a linear space. For a systematic development of n-normed linear space one may refer to [5, 6, 8, 9]. In [5], Hendra Gunawan and Mashadi have also discussed the Cauchy ...
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Statistically Convergent Double Sequence Spaces in 2 Normed Spaces Defined by Orlicz Function
... In this paper, we study convergence of double sequence spaces in 2-normed spaces and obtained a criteria for double sequences in 2normed spaces to be statistically Cauchy sequence in 2-n[r] ...
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Hölder Regularity for Abstract Fractional Cauchy Problems with Order in (0,1)
... fractional Cauchy problems and Cauchy problems of first order [10]; the existence of solution of several kinds of fractional equations [11] [12]; the Hölder regularity for a class of fractional equations ...
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Invariance of the Cauchy mean value expression with an application to the problem of representation of Cauchy means
... two-variable Cauchy means (as well as other lists for similar problems) but, on one hand, strong and extrane- ous regularity assumptions on the involved functions are needed to obtain such solutions and, on the ...
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