A new type of convergence in partial metric spaces

Authors

  • Fatih Nuray Afyon Kocatepe University
  • Elif Nuray Yıldırım Istanbul Commerce University

DOI:

https://doi.org/10.62918/hjma.v3i2.31

Keywords:

Partial metric space, deferred mean, statistical convergence, deferred statistical convergence

Abstract

In this paper, we introduce the concept of deferred statistical convergence in partial metric spaces (pms), extending classical notions of statistical convergence and summability. We define deferred Cesaro summability and investigate its fundamental properties. Connections between statistical convergence and deferred Cesaro summability are explored, including inclusion relationships and strictness. Additionally, we establish conditions under which deferred summability implies statistical convergence and vice versa. Examples and theorems are provided to illustrate the applicability and relevance of these concepts in partial metric spaces.

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Published

05-05-2025

How to Cite

Nuray, F., & Nuray Yıldırım, E. (2025). A new type of convergence in partial metric spaces. Hilbert Journal of Mathematical Analysis, 3(2), 001–011. https://doi.org/10.62918/hjma.v3i2.31