Now showing items 1-11 of 11

    • Abel statistical quasi Cauchy sequences in 2-normed 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 2-normed spaces. A function f defined on a 2-normed space X into X is called Abel statistically ward continuous if it preserves Abel statistical ...
    • Ideal strong lacunary quasi Cauchy sequences in 2-normed 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 2-normed spaces. A function f on a subset A of a 2-normed space X into X is ideal strongly lacunary ward continuous if it preserves ideal ...
    • Lacunary Ward Continuity in 2-normed Spaces 

      Cakalli, Huseyin; Ersan, Sibel (UNIV NIS, FAC SCI MATH, 2015)
      In this paper, we introduce lacunary statistical ward continuity in a 2-normed space. A function f defined on a subset E of a 2-normed space X is lacunary statistically ward continuous if it preserves lacunary statistically ...
    • New Types of Continuity in 2-Normed Spaces 

      Cakalli, Huseyin; Ersan, Sibel (UNIV NIS, FAC SCI MATH, 2016)
      A sequence (chi(n)) of points in a 2-normed space X is statistically quasi-Cauchy if the sequence of difference between successive terms statistically converges to 0. In this paper we mainly study statistical ward continuity, ...
    • p-ward continuity in 2-normed spaces 

      Ersan, Sibel (Maltepe Üniversitesi, 2019)
      In this paper, the concept of a quasi-Cauchy sequence is generalized to a concept of a p-quasi-Cauchy sequence for any fixed positive integer p in 2-normed space X. Some interesting theorems related to p-ward continuity ...
    • Strongly Lacunary delta-quasi-Cauchy sequences in 2-normed spaces 

      Ersan, Sibel (AMER INST PHYSICS, 2019)
      A sequence (x(k)) of points in a subset E of a 2-normed space X is called strongly lacunary delta-quasi-Cauchy, or N-theta-delta-quasi-Cauchy if (Delta x(k)) is N-theta-convergent to 0, that is lim(r ->infinity) 1/h(r) ...
    • Strongly Lacunary Ward Continuity in 2-Normed Spaces 

      Cakalli, Huseyin; Ersan, Sibel (HINDAWI LTD, 2014)
      A function.. defined on a subset.. of a 2-normed space.. is strongly lacunary ward continuous if it preserves strongly lacunary quasi-Cauchy sequences of points in E; that is, (f(x(k))) is a strongly lacunary quasi-Cauchy ...
    • Strongly lacunary δ-quasi-cauchy sequences in 2-normed spaces 

      Ersan, Sibel (Maltepe Üniversitesi, 2019)
      A sequence (xk) of points in a subset E of a 2-normed space X is called strongly lacunary δ-quasi-Cauchy, or Nθ-δ-quasi-Cauchy if (∆xk) is Nθ-convergent to 0, that is limr→∞ 1 hr P k∈Ir ||∆ 2 xk ,z|| = 0 for every ...
    • A variation on strong lacunary quasi-Cauchy sequences in 2-normed spaces 

      Cakalli, Huseyin; Ersan, Sibel (AMER INST PHYSICS, 2015)
      In this paper, we introduce and investigate ideal strong lacunary ward continuity in 2-normed spaces. A function f on a subset A of a 2-normed space X into X is ideal strongly lacunary ward continuous if it preserves ideal ...
    • Variations on ward continuity in 2-normed spaces 

      Maltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesi; Ersan, Sibel (Maltepe Üniversitesi, 2019)
      In this paper, the concept of a quasi-Cauchy sequence is generalized to a concept of a p-quasi-Cauchy sequence for any fixed positive integer p in a 2-normed space X. Some interesting theorems related to p-ward continuity ...
    • Ward Continuity in 2-Normed Spaces 

      Ersan, Sibel; Cakalli, Huseyin (UNIV NIS, FAC SCI MATH, 2015)
      In this paper, we introduce and investigate the concept of ward continuity in 2-normed spaces. A function f defined on a 2-normed space (X, parallel to., .parallel to) is ward continuous if it preserves quasi-Cauchy ...