\(\Delta^m\)-Ideal Convergence of Generalized Difference Sequences in Neutrosophic Normed Spaces
DOI:
https://doi.org/10.26713/cma.v13i3.1869Keywords:
Neutrosophic normed spaces, Statistical convergence, Statistical cauchy, Difference sequence, Generalized difference sequence, I-convergence and I-cauchyAbstract
The objective of this paper is to introduce the perception of ideal convergence of generalized difference sequences in Neutrosophic Normed Spaces. We defined the concepts of \(\Delta^m\)-\(I_N\)-Cauchy and \(\Delta^m\)-\(I_N\)-completeness for generalized difference sequences in Neutrosophic Normed Spaces (briefly known as N.N.S). Another, closely related concept \(\Delta^m\)-\(I_N^\ast\)-convergence, \(\Delta^m\)-\(I_N^\ast\)-Cauchy and \(\Delta^m\)-\(I_N^\ast\)-completeness in N.N.S are also defined. Later, we establish some relations among these perceptions which shows that this method of convergence is more generalized.
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