Francisco Javier García-Pacheco, Ramazan Kama, Convergence topologies and f-statistically Cauchy sequences, Vol. 2025 (2025), No. 14, pp. 1-15

Full Text: PDF
DOI: 10.23952/jnfa.2025.14

Received December 8, 2024; Accepted April 14, 2025; Published May 14, 2025

Abstract. Modulus statistical convergence has already been transported to the general scope of uniform spaces. Here, the novel notion of $f^*$ -statistically Cauchy sequence is introduced and studied in uniform spaces. Certain properties are verified, in particular, the relationship between $f^*$ -statistically Cauchy sequences and $f$ -statistically Cauchy sequences is unveiled. Finally, $f$ -statistical limit points and $f$ -statistical cluster points of a sequence are considered and studied, again in the general context of uniform spaces.

How to Cite this Article:
F.J. García-Pacheco, R. Kama, Convergence topologies and f-statistically Cauchy sequences, J. Nonlinear Funct. Anal. 2025 (2025) 14.