Intuitionistic fuzzy <i>I</i>-convergent sequence spaces defined by compact operator

Khan, Vakeel A.; Yasmeen,; Fatima, Hira; Altaf, Henna; Lohani, Q. M. Danish

doi:10.1080/23311835.2016.1267904

Cited by 8 publications

(6 citation statements)

References 21 publications

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“…On sequence spaces, Mursaleen and Noman ( [23,24]) investigated the Compact operators on some difference sequence spaces. For more updates on sequence spaces and their applications see [13][14][15]. The multiplication operators on (ces(r), . )…”

Section: Notations 12 ([5]mentioning

confidence: 99%

Multiplication mappings on a new stochastic space of a sequence of fuzzy functions

Alsolmi¹,

Bakery²

2022

J. Math. Computer Sci.

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A number of topological and geometrical properties of the weighted Gamma matrix of order r in Nakano sequence space for fuzzy functions equipped with definite pre-modular functions are defined and investigated in this paper. We begin by defining the necessary conditions for the formation of pre-modular Banach in this space. Second, we specify the conditions under which the multiplication operator defined on this pre-modular space is bounded, approximable, invertible, Fredholm, and closed on the basis of this space.

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Section: Notations 12 ([5]mentioning

confidence: 99%

Multiplication mappings on a new stochastic space of a sequence of fuzzy functions

Alsolmi¹,

Bakery²

2022

J. Math. Computer Sci.

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“…The intuitionistic fuzzy normed space and intuitionistic fuzzy n-normed space which were introduced in [4]- [5] are the most contemporary improvements in fuzzy topology. Recently, the definition of I-convergence in intuitionistic fuzzy zweier I-convergent sequence spaces and intuitionistic fuzzy zweier I-convergent double sequence spaces have been studied in [10]- [14].…”

Section: Introductionmentioning

confidence: 99%

“…Definition 2.8 [14]. Let X and Y be two normed linear spaces and T : D(T ) → Y be a linear operator, where D ⊂ X.…”

mentioning

confidence: 99%

“…Then the operator T is said to be bounded, if there exists a positive real k such that ||T x|| ⩽ k||x||, for all x ∈ D(T ). The set of all bounded linear operators B(X, Y ) is a normed linear space normed by||T || = sup||T x||(x ∈ X, ||x|| = 1) and B(X, Y ) is a Banach space if Y is a Banach space.Definition 2.9 [14]. Let X and Y be two normed linear spaces.…”

mentioning

confidence: 99%

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Intuitionistic Fuzzy I-Convergent Difference Sequence Spaces Defined by Compact Operator

Kamber¹

2022

FU Math Inform

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In this paper, we introduce and study the intuitionistic fuzzy $I$-convergent difference sequence spaces ${I}^{(\mu,\upsilon)}(T,\Delta)$ and ${I^{0}}^{(\mu,\upsilon)}(T,\Delta)$ using by compact operator. Also we introducce a new concept, called closed ball in these spaces. By the helping of these notions, we establish a new topological space and investigate some topological properties in intuitionistic fuzzy $I$-convergent difference sequence spaces ${I}^{(\mu,\upsilon)}(T,\Delta)$ and ${I^{0}}^{(\mu,\upsilon)}(T,\Delta)$ using by compact operator.

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“…Moreover, Kostyrko et al [11] generalized statistical convergence using the structure of the ideal I as a subset of set N of positive integers. Furthermore, it analyzed by Salat et al [17], Khan et al [9,10], and many others.…”

Section: Introductionmentioning

confidence: 99%