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On Approximately Continuous and Almost Continuous Functions
Canadian Mathematical Bulletin, 1971 The purpose of this note is to discuss the relationship between the concepts of approximate continuity and almost continuity of real functions of a real variable.Contrary to the papers of T. Husain [1], [2], [3], we shall show that there is little relationship between these concepts, that approximate continuity does not imply almost continuity without ...
Chaika, M., Perlman, S.
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Oscillation for Almost Continuity
Acta Mathematica Hungarica, 2007Let \((X,\tau)\) be a topological space. A subset \(A\) of \(X\) is said to be preopen if \(A\subset \text{Int}(Cl(A))\). A function \(f:(X,\tau)\to (Y,\sigma)\) is almost continuous or precontinuous if \(x\in \text{Int}(Cl(f^{-1}(V)))\) for each open set \(V\) containing \(f(x)\). Let \((Y,d)\) be a metric space and \(f:(X,\tau)\to (Y,\tau)\).
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Almost Perfectly Continuous Functions
Quaestiones Mathematicae, 2010 The aim of the present paper is to continue the study of almost perfectly continuous (≡ regular set connected) functions initiated by Dontchev, Ganster and Reilly. It turns out that in general the notion of almost perfectly continuity is independent of continuity but represents a significantly strong form of continuity called ‘cl-supercontinuity’, if Y
Singh, D
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On almost πgp-continuous functions [PDF]
Chaos, Solitons & Fractals, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ekici, Erdal
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Continuity of Quantum Entropic Quantities via Almost Convexity [PDF]
IEEE Transactions on Information Theory, 2023 Based on the proofs of the continuity of the conditional entropy by Alicki, Fannes, and Winter, we introduce in this work the almost locally affine (ALAFF) method.
Angela Capel +2 more
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Bulletin of the Australian Mathematical Society, 2010 In this work, we give some theorems on (mild) weighted pseudo-almost periodic solutions for some abstract semilinear differential equations with uniform continuity.
Hong-Xu Li
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Real Analysis Exchange, 1991
The author presents facts concerning functions almost continuous in the sense of Stallings. Among the problems (connected with this class of transformations) considered by him one can distinguish the following questions: --- Investigations of relationships between this class of transformations and functions almost continuous in the sense of Husain and ...
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The author presents facts concerning functions almost continuous in the sense of Stallings. Among the problems (connected with this class of transformations) considered by him one can distinguish the following questions: --- Investigations of relationships between this class of transformations and functions almost continuous in the sense of Husain and ...
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On Almost β-Continuous Functions
Acta Mathematica Hungarica, 1998A subset \(A\) of a topological space \(X\) is called \(\beta\)-open if \(A\subset \text{Cl}(\text{Int}(\text{Cl}(A)))\). A function \(f:X\to Y\) is called almost \(\beta\)-continuous at \(x\in X\) if for every open neighbourhood \(V\) of \(f(x)\) there exists a \(\beta\)-open set \(U\) containing \(x\) such that \(f(U)\subset \text{Int} (\text{Cl}(V))\
Noiri, T., Popa, V.
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Chaos, Solitons & Fractals, 2009
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Keskin, Aynur, Noiri, Takashi
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Keskin, Aynur, Noiri, Takashi
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Almost continuity and -continuity in fuzzifying topology
Fuzzy Sets and Systems, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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