Some Results on Generalized Statistical Convergence of Double Sequences via Ideals in Probabilistic Generalized Metric Spaces


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Authors

  • Ömer Kişi Bartın University
  • Mehmet Gürdal Suleyman Demirel University
  • Elif Hevesker Bartın University

Keywords:

Probabilistic Generalized Metric Space, J2-Statistical Convergence, J2-Statistical Cauchyness

Abstract

For double sequences in probabilistic generalized metric spaces (PGMS), we establish the
notions of J2-statistical convergence and J2-statistical Cauchyness in this work and investigate their
fundamental properties, including their interrelationships.

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Author Biographies

Ömer Kişi, Bartın University

Department of Mathematics,  Bartın, Turkey

Mehmet Gürdal, Suleyman Demirel University

Department of Mathematics, Isparta, Turkey

Elif Hevesker, Bartın University

Department of Mathematics, Bartın, Turkey

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Published

2024-08-29

How to Cite

Kişi, Ömer, Gürdal, M., & Hevesker, E. (2024). Some Results on Generalized Statistical Convergence of Double Sequences via Ideals in Probabilistic Generalized Metric Spaces . International Journal of Advanced Natural Sciences and Engineering Researches, 8(7), 200–210. Retrieved from https://as-proceeding.com/index.php/ijanser/article/view/1985

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