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Quasi Statistical Convergence of Double Sequences in Neutrosophic Normed Spaces
  
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KeyWord:Quasi-density, quasi statistical convergence of double sequences, neutrosophic normed space
Author NameAffiliation
Chiranjib Choudhury Department of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, Agartala, India 
Carlos Granados Estudiante de Doctorado en Matem\'{a}ticas, Universidad de Antioquia, Medell\'{i}n, Colombia 
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Abstract:
      In this paper, we introduce the notion of quasi statistical convergence of double sequences in the neutrosophic normed spaces mainly as a generalization of statistical convergence of double sequences. We investigate a few fundamental properties of the newly introduced notion and examine the relationship with statistical convergence of double sequences in the neutrosophic normed spaces. In the end, we introduce the concept of quasi statistical Cauchy sequence of double sequences and show that quasi statistical Cauchy sequences for double sequences are equivalent to quasi statistical convergent double sequences in the neutrosophic normed spaces.