Lacunary statistical backward quasi Cauchy sequences on asymmetric spaces

Dagci F. I., Cakalli H.

8th International Conference of Mathematical Sciences, ICMS 2024, Hybrid, Istanbul, Turkey, 11 - 15 September 2024, vol.3431, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 3431
  • Doi Number: 10.1063/5.0290221
  • City: Hybrid, Istanbul
  • Country: Turkey
  • Istanbul Kültür University Affiliated: Yes

Abstract

We call a sequence (xm) of points in an asymmetric metric space (X, d) lacunary statistically backward quasi Cauchy if limr→∞1hr|{mâIr:d(xm+1,xm)≥ϵ}|=0 for each positive ϵ, where Ir = (kr-1, kr] and k0 = 0, hr = kr-kr-1 → ∞ as r → ∞ and θ = (kr) is an increasing sequence of positive integers and, |A| indicates the cardinality of the set A.