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Vector Valued Piecewise Continuous Almost Automorphic Functions and Some Consequences [PDF]
Journal of Mathematical Analysis and ApplicationsIn the present work, for $\mathbb{X}$ a Banach space, the notion of piecewise continuous $\mathbb{Z}$-almost automorphic functions with values in finite dimensional spaces is extended to piecewise continuous $\mathbb{Z}$-almost automorphic functions with
Alan Jhonatan Chavez Obregon
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A Counterexample Concerning Almost Continuous Functions [PDF]
Proceedings of the American Mathematical Society, 1974 An example is constructed of a function which is almost continuous in the sense of Singal and Singal but not in the sense of Stallings.
Larry L Herrington
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ARCWISE ALMOST CONTINUOUS FUNCTIONS
Real Analysis Exchange, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Almost contra-g-continuous functions
Chaos, Solitons & Fractals, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Keskin, Aynur, Noiri, Takashi
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Almost Continuous Functions With Closed Graphs
Canadian Mathematical Bulletin, 1982AbstractA function f:X → Y is almost continuous if for every x ∊ X and for each open set V ⊂ Y containing f(x), Cl(f-l(V)) is a neighborhood of x. Various conditions are given that guarantee that an almost continuous function is continuous. The main theorem states that if f:X → Y is almost continuous with a closed graph (closed in X × Y) and X and Y ...
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Comparing Almost Continuous Functions [PDF]
Proceedings of the American Mathematical Society, 1973 Three definitions as to when a function from one topological space to another is called almost continuous are cited from the literature. Similarities and dissimilarities of two of these definitions are discussed.
Long, Paul E., Carnahan, Donald A.
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Some properties of almostS-continuous functions
Rendiconti del Circolo Matematico di Palermo, 1999Let \((X,\tau)\) be a topological space. A subset \(A\) of \(X\) is said to be semi-open (resp. \(\alpha\)-open) if \(A\subset \text{Cl(Int} (A))\) (resp. \(A\subset \text{Int(Cl(Int} (A)))\)). The complement of a semi-open (resp. \(\alpha\)-open) set is called semi-closed (resp. \(\alpha\)-closed). The intersection of all semi-closed (resp. \(\alpha\)-
Jafari, Saeid, Noiri, Takashi
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1982
A function f:X\(\to Y\) is called s-continuous (resp. almost s-continuous) if for each point \(x\in X\) and each open (resp. regular open) set V containing f(x) and having connected complement there is an open set U containing x such that f(U)\(\subset V\).
Singh, I. J., Prasad, R.
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A function f:X\(\to Y\) is called s-continuous (resp. almost s-continuous) if for each point \(x\in X\) and each open (resp. regular open) set V containing f(x) and having connected complement there is an open set U containing x such that f(U)\(\subset V\).
Singh, I. J., Prasad, R.
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On fuzzy almost continuous functions
Fuzzy Sets and Systems, 1991The authors extend the ideas of \(\delta\)-open set, \(\delta\)-closed set, \(\delta\)-adherent point of a set and \(\delta\)-closure of a set, as introduced by \textit{Velicko}, in fuzzy setting; the authors also introduce several related characterizations of fuzzy almost continuous functions.
Ajmal, Naseem, Tyagi, B. K.
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Almost \(\gamma\)-continuous functions
1992Summary: A new class of functions, called `almost \(\gamma\)-continuous' is introduced and several of their properties are investigated. This new class is utilized to improve some already published results concerning weak continuity [\textit{N. Levine}, Am. Math. Mon.
CAMMAROTO, Filippo, T. NOIRI
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