Das, PratulanandaSavaş, Ekrem2020-11-212020-11-2120140044-8753https://doi.org/10.5817/AM2014-2-107https://hdl.handle.net/11467/3528In 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 G we consider the notion of a generalized continuity ((G1, G2)-continuity) and examine some of its consequences in respect of usual continuity and linearity of the operators between two normed linear spaces.eninfo:eu-repo/semantics/openAccessConditions (NL1) and (NL2)HomogeneousLinearityNormed spaceArticle502107114N/AWOS:000434516900005Q42-s2.0-8490160867410.5817/AM2014-2-107