Results 21 to 30 of about 133,611 (249)
Abstract and Applied Analysis, 2012 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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Blow-up of solutions of Cauchy problem for nonlinear Schrödinger equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 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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Generalized a-min special type contraction results on 2-Menger spaces [PDF]
Bulletin of Natural Sciences Research, 2022 The goal of this paper is to present some novel probabilistic a-minimum contraction results on probabilistic 2-metric spaces. Our findings are based on probabilistic 2-metric spaces, which are the probabilistic generalisations of 2-metric spaces.
Bhandari Samir Kumar, Chandok Sumit
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Journal of Applied Mathematics, 2011 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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Cauchy Sequences in Semimetric Spaces [PDF]
Proceedings of the American Mathematical Society, 1972 As the main result we prove that every semimetrizable space has a semimetric for which every convergent sequence has a Cauchy subsequence. This result is used to show that a T 1 {T_1} space X is semimetrizable if and only if it is a pseudo-open π \pi -image of a metric space.
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The Completion of Generalized 2-Inner Product Spaces
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 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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The moduli space of isometry classes of globally hyperbolic spacetimes [PDF]
, 2004 This is the last article in a series of three initiated by the second author. We elaborate on the concepts and theorems constructed in the previous articles. In particular, we prove that the GH and the GGH uniformities previously introduced on the moduli
Ambjørn J +21 more
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On the dynamics of the quantum states set for a system with degenerated Hamiltonian
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 We study the sequence of regularizing Cauchy problem as the elliptic regularization of Cauchy problem for Schrodinger equation with discontinuous and degenerated coefficients.
V. Zh. Sakbaev
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New Convergence Definitions for Sequences of Sets
Abstract and Applied Analysis, 2013 Several notions of convergence for subsets of metric space appear in the literature. In this paper, we define Wijsman -convergence and Wijsman -convergence for sequences of sets and establish some basic theorems.
Ömer Kişi, Fatih Nuray
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ON $I$-STATISTICALLY PRE-CAUCHY SEQUENCES
Taiwanese Journal of Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, Pratulananda, Savas, Ekrem
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