Wijsman Lacunary $${\mathbf{\mathcal{I}}}$$-Invariant Convergence of Sequences of Sets

“…Granados (3) prevailed with regards to summing up the factual union and presented the idea of an ideal I -combination. Dundar et al (4) dissected I-and I*union for twofold successions. Zadeh (5) first proposed the fuzzy sets concept in 1965, and therefore it has found varying uses in the realm of valid semantics.…”

Section: Introductionmentioning

confidence: 99%

Wijsman Ideal Convergence Sequence in Neutrosophic Metric Spaces

Johnsy,

Jeyaraman

2024

IJST

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Objectives: An examination of convergence for a sequence of closed sets in Neutrosophic Metric Spaces is the main goal of this research. Particularly, the focus of this study is directed at Wijsman -convergence ( and Wijsman -convergence . Methods: The various properties of Neutrosophic Metric Spaces are investigated in this study. Using exact mathematical techniques, this study comprehends the features of convergent sequences in these domains. Furthermore, this study expresses particular views on Wijsman -Cauchy and Wijsman -Cauchy sequences. Findings: The convergence behaviour of closed sets in Neutrosophic Metric Spaces is a result of this research. it presents findings and remarks about the sequences of Wijsman - convergence, Wijsman - convergence, Wijsman -Cauchy, and Wijsman -Cauchy. These findings improve the current understanding of convergence in relation to NMS. Novelty: What makes this work unique is that it focuses on convergence notions in Neutrosophic Metric Spaces, specifically on Wijsman and Wijsman - convergence enriches the current body of information in this domain. Keywords: Neutrosophic Metric Spaces, Wijsman I convergent and Wijsman I ¿ convergent sequences, Wijsman I ¿ Cauchy and Wijman I Cauchy sequences

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“…Hazarika and Esi [6] defined the idea of asymptotically equivalent sequences of sets in the sense of ideal Wijsman convergence. Recently, Dündar and Pancaroglu [4] have introduced the concepts of Wijsman lacunary invariant convergence and Wijsman lacunary invariant statistical convergence.…”

Section: Introductionmentioning

confidence: 99%

ON THE ROUGH CONVERGENCE OF A SEQUENCE OF SETS Vol. 10(1) Jan 2022, No. 14, pp. 167-174 OZNUR OLMEZ, FATMA GECIT AKC¸ AY AND SALIH AYTAR

2022

Electronic Journal of Mathematical Analysis and Applications

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Wijsman Lacunary $${\mathbf{\mathcal{I}}}$$-Invariant Convergence of Sequences of Sets

Cited by 6 publications

References 24 publications

Wijsman Asymptotic Lacunary I_2-Invariant Equivalence for Double Set Sequences

Wijsman Asymptotic Lacunary I_2-Invariant Equivalence for Double Set Sequences

Wijsman Ideal Convergence Sequence in Neutrosophic Metric Spaces

ON THE ROUGH CONVERGENCE OF A SEQUENCE OF SETS Vol. 10(1) Jan 2022, No. 14, pp. 167-174 OZNUR OLMEZ, FATMA GECIT AKC¸ AY AND SALIH AYTAR

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