Browsing by Author "Ersan, Sibel"
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Abel statistical quasi Cauchy sequences in 2normed spaces
Maltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesi; Ersan, Sibel; Çakallı, Hüseyin (Maltepe Üniversitesi, 2021)In this paper, we investigate the concept of Abel statistical ward continuity in 2normed spaces. A function f defined on a 2normed space X into X is called Abel statistically ward continuous if it preserves Abel statistical ... 
Ideal strong lacunary quasi Cauchy sequences in 2normed spaces
Maltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesi; Ersan, Sibel (Maltepe Üniversitesi, 2021)In this paper, we introduce and investigate ideal strong lacunary ward continuity in 2normed spaces. A function f on a subset A of a 2normed space X into X is ideal strongly lacunary ward continuous if it preserves ideal ... 
Lacunary Ward Continuity in 2normed Spaces
Cakalli, Huseyin; Ersan, Sibel (UNIV NIS, FAC SCI MATH, 2015)In this paper, we introduce lacunary statistical ward continuity in a 2normed space. A function f defined on a subset E of a 2normed space X is lacunary statistically ward continuous if it preserves lacunary statistically ... 
New Types of Continuity in 2Normed Spaces
Cakalli, Huseyin; Ersan, Sibel (UNIV NIS, FAC SCI MATH, 2016)A sequence (chi(n)) of points in a 2normed space X is statistically quasiCauchy if the sequence of difference between successive terms statistically converges to 0. In this paper we mainly study statistical ward continuity, ... 
pward continuity in 2normed spaces
Ersan, Sibel (Maltepe Üniversitesi, 2019)In this paper, the concept of a quasiCauchy sequence is generalized to a concept of a pquasiCauchy sequence for any fixed positive integer p in 2normed space X. Some interesting theorems related to pward continuity ... 
Strongly Lacunary deltaquasiCauchy sequences in 2normed spaces
Ersan, Sibel (AMER INST PHYSICS, 2019)A sequence (x(k)) of points in a subset E of a 2normed space X is called strongly lacunary deltaquasiCauchy, or NthetadeltaquasiCauchy if (Delta x(k)) is Nthetaconvergent to 0, that is lim(r >infinity) 1/h(r) ... 
Strongly Lacunary Ward Continuity in 2Normed Spaces
Cakalli, Huseyin; Ersan, Sibel (HINDAWI LTD, 2014)A function.. defined on a subset.. of a 2normed space.. is strongly lacunary ward continuous if it preserves strongly lacunary quasiCauchy sequences of points in E; that is, (f(x(k))) is a strongly lacunary quasiCauchy ... 
Strongly lacunary δquasicauchy sequences in 2normed spaces
Ersan, Sibel (Maltepe Üniversitesi, 2019)A sequence (xk) of points in a subset E of a 2normed space X is called strongly lacunary δquasiCauchy, or NθδquasiCauchy if (∆xk) is Nθconvergent to 0, that is limr→∞ 1 hr P k∈Ir ∆ 2 xk ,z = 0 for every ... 
A variation on strong lacunary quasiCauchy sequences in 2normed spaces
Cakalli, Huseyin; Ersan, Sibel (AMER INST PHYSICS, 2015)In this paper, we introduce and investigate ideal strong lacunary ward continuity in 2normed spaces. A function f on a subset A of a 2normed space X into X is ideal strongly lacunary ward continuous if it preserves ideal ... 
Variations on ward continuity in 2normed spaces
Maltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesi; Ersan, Sibel (Maltepe Üniversitesi, 2019)In this paper, the concept of a quasiCauchy sequence is generalized to a concept of a pquasiCauchy sequence for any fixed positive integer p in a 2normed space X. Some interesting theorems related to pward continuity ... 
Ward Continuity in 2Normed Spaces
Ersan, Sibel; Cakalli, Huseyin (UNIV NIS, FAC SCI MATH, 2015)In this paper, we introduce and investigate the concept of ward continuity in 2normed spaces. A function f defined on a 2normed space (X, parallel to., .parallel to) is ward continuous if it preserves quasiCauchy ...