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In this study, we investigate the notions of the Wijsman ℐ2-statistical convergence, Wijsman ℐ2-lacunary statistical convergence, Wijsman strongly ℐ2-lacunary convergence, and Wijsman strongly ℐ2-Cesàro convergence of double sequence of sets in the ...
Ömer Kişi
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Some New Cauchy Sequence Spaces
In this paper, our goal is to introduce some new Cauchy sequence spaces. These spaces are defined by Cauchy transforms. We shall use notations $C_{\infty }\left( s,t\right) $, $C\left( s,t\right) $ and $C_{0}\left( s,t\right) ~$for these new sequence ...
Harun Polat
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Regularly ideal invariant convergence of double sequences
In this paper, we introduce the notions of regularly invariant convergence, regularly strongly invariant convergence, regularly p-strongly invariant convergence, regularly ( I σ , I 2 σ ) $(\mathcal{I}_{\sigma },\mathcal{I}^{\sigma }_{2})$ -convergence ...
Nimet Pancaroǧlu Akın
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Some Results on Wijsman Ideal Convergence in Intuitionistic Fuzzy Metric Spaces
In the present work, we study and extend the notion of Wijsman J–convergence and Wijsman J∗–convergence for the sequence of closed sets in a more general setting, i.e., in the intuitionistic fuzzy metric spaces (briefly, IFMS).
Ayhan Esi +3 more
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A function 𝑓 is continuous if and only if 𝑓 preserves convergent sequences; that is, (𝑓(𝛼𝑛)) is a convergent sequence whenever (𝛼𝑛) is convergent. The concept of 𝑁𝜃-ward continuity is defined in the sense that a function 𝑓 is 𝑁𝜃-ward continuous if it ...
Huseyin Cakalli
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Weakly unconditionally Cauchy series and Fibonacci sequence spaces
We study new sequence spaces associated to sequences in normed spaces and the band matrix F̂ defined by the Fibonacci sequence. We give some characterizations of continuous linear operators and weakly unconditionally Cauchy series by means of ...
Ramazan Kama, Bilal Altay
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Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation
In this work we study the effect of time finiteness of the existence of Cauchy problem for nonlinear Schrödinger equation solution. Together with the ill-posed Cauchy problem we consider its neighborhood in the space of operators, representing Cauchy ...
Vsevolod Zhanovich Sakbaev
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Reverses of the Cauchy-Bunyakovsky-Schwarz Inequality for n-tuples of Complex Numbers [PDF]
Some new reverses of the Cauchy-Bunyakovsky-Schwarz inequality for n−tuples of real and complex numbers related to Cassels and Shisha-Mond results are ...
Dragomir, Sever S
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The aim of this paper is to introduce and study the fuzzy neighborhood, the limit fuzzy number, the convergent fuzzy sequence, the bounded fuzzy sequence, and the Cauchy fuzzy sequence on the base which is adopted by Abdul Hameed (every real number r is ...
Abdul Hameed Q. A. Al-Tai
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The Completion of Generalized 2-Inner Product Spaces
A complete metric space is a well-known concept. Kreyszig shows that every non-complete metric space can be developed into a complete metric space , referred to as completion of . We use the b-Cauchy sequence to form which “is the set of all b-Cauchy
Safa L. Hamad, Zeana Z. Jamil
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