ON I- CONVERGENCE OF SEQUENCES IN GRADUAL NORMED LINEAR SPACES
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In this paper, we introduce the concepts of $\mathcal{I}$ and $\mathcal{I^{*}}-$convergence of sequences in gradual normed linear spaces. We study some basic properties and implication relations of the newly defined convergence concepts. Also, we introduce the notions of $\mathcal{I}$ and $\mathcal{I^{*}}-$Cauchy sequences in the gradual normed linear space and investigate the relations between them.
1964 ◽
Vol 60
(4)
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pp. 817-819
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2018 ◽
Vol 15
(01)
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pp. 65-83
1980 ◽
Vol 23
(3)
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pp. 347-354
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1971 ◽
Vol 12
(3)
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pp. 301-308
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1974 ◽
Vol 11
(3)
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pp. 443-454
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1972 ◽
Vol 14
(1)
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pp. 9-16
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