Lacunary Statistical Convergence Sequence in Neutrosophic Metric Space

Authors

  • J. Johnsy Alagappa University,P.G. and Research Department of Mathematics, Raja Doraisingam Government Arts College (affiliated to Alagappa University), Sivagangai, Karaikudi, Tamilnadu, India https://orcid.org/0009-0007-7790-0321
  • M. Jeyaraman P.G. and Research Department of Mathematics, Raja Doraisingam Government Arts College (affiliated to Alagappa University), Sivagangai, Karaikudi, Tamilnadu, India https://orcid.org/0000-0002-0364-1845

DOI:

https://doi.org/10.26713/cma.v14i5.2293

Keywords:

Lacunary sequence, Neutrosophic normed linear space, Wijsman convergence, Cesaro summability, Sequence of sets

Abstract

Researchers describe the theory of Lacunary Strongly Convergence ( LSC ) and its application to sequences of sets in Neutrosophic Metric Spaces(NMS). We derive a conceptual connection between these ideas. In addition, that we have defined certain required and adequate criteria to ensure the similarity for Statistical Convergence(StC ) and Lacunary Statistical Convergence(LStC) sets for the sequence of NMS. We develop certain findings along with the idea of enhanced Cesaro summability in NMS.

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Published

31-12-2023
CITATION

How to Cite

Johnsy, J., & Jeyaraman, M. (2023). Lacunary Statistical Convergence Sequence in Neutrosophic Metric Space. Communications in Mathematics and Applications, 14(5), 1493–1506. https://doi.org/10.26713/cma.v14i5.2293

Issue

Vol. 14 No. 5 (2023)

Section

Research Article

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