Results 151 to 160 of about 9,051,507 (186)

Almost Perfectly Continuous Functions

open access: yesQuaestiones 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
exaly   +5 more sources

Almost Continuous Functions with Closed Graphs

open access: yesCanadian Mathematical Bulletin, 1982
AbstractA 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 ...
Andrew J. Berner
exaly   +5 more sources

Almost b-continuous functions

open access: yesChaos, Solitons & Fractals, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Keskin, Aynur, Noiri, Takashi
openaire   +3 more sources

A Characterization of Real almost Continuous Functions

open access: yesCanadian Mathematical Bulletin, 1967
The main purpose of this note is to give a characterization of almost continuous functions similar to that of approximately continuous functions ([3], §235, p. 312). The characterization of approximately continuous real functions has been used to show that each approximately continuous function is almost continuous ([4], §6).
Husain, T., Dwivedi, T. D.
openaire   +2 more sources

A note on almost β-continuous functions [PDF]

open access: yesChaos, Solitons & Fractals, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ekici, Erdal
openaire   +3 more sources

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.
openaire   +2 more sources

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