Geodesic
On some consequences of a generalized continuity
Archivum mathematicum, Tome 50 (2014) no. 2, pp. 107-114.

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In normed linear space settings, modifying the sequential definition of continuity of an operator by replacing the usual limit "$\lim $" with arbitrary linear regular summability methods $\bf {G}$ we consider the notion of a generalized continuity ($(\bf {G_1}, \bf {G_2}) $-continuity) and examine some of its consequences in respect of usual continuity and linearity of the operators between two normed linear spaces.
DOI : 10.5817/AM2014-2-107
Classification : 40C05, 47L05
Keywords: continuity; $({\mathbf{G_1}}, {\mathbf{G_2}})$-continuity; homogeneous; linearity; conditions (NL1) and (NL2); normed space 
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Das, Pratulananda; Savas, Ekrem. On some consequences of a generalized continuity. Archivum mathematicum, Tome 50 (2014) no. 2, pp. 107-114. doi : 10.5817/AM2014-2-107. http://geodesic.mathdoc.fr/articles/10.5817/AM2014-2-107/

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