Stability of Pexiderized quadratic functional equation in intuitionistic fuzzy normed space
The authors consider the Pexider form \(f(x+y)+f(x-y)=2g(x)+2h(y)\) of the quadratic functional equation and investigate the stability thereof in the case of intuitionistic fuzzy normed Banach spaces under certain additional conditions. It should be remarked that the definition of Cauchy sequences given at the very beginning seems to be incorrect ...
S A Mohiuddine
exaly +5 more sources
A new type of difference I-convergent sequence in IFnNS [PDF]
In this paper, we introduce the notion of a generalized difference I-convergent (i.e.Δm-I-convergent) and difference I-Cauchy (i.e.Δm-I-Cauchy) sequence in intuitionistic fuzzy n-normed spaces. Further, we prove some results related to this notion. Also,
Khan Vakeel A. +2 more
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An Introduction to Spectral Theory of Bounded Linear Operators in Intuitionistic Fuzzy Pseudo Normed Linear Space [PDF]
In this paper, focus is on the study of spectrum and the spectral properties of bounded linear operators in intuitionistic fuzzy pseudo normed linear spaces(IFPNLS).
Bivas Dinda +2 more
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Tauberian theorems for weighted means of double sequences in intuitionistic fuzzy normed spaces [PDF]
We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces(IFNS), and obtain necessary and sufficient Tauberian conditions under which convergence of double sequences in IFNS follows from their weighted mean ...
Narayan Mishra Lakshmi +3 more
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Hyers Stability in Generalized Intuitionistic P-Pseudo Fuzzy 2-Normed Spaces
In this article, we defined the generalized intuitionistic P-pseudo fuzzy 2-normed spaces and investigated the Hyers stability of m-mappings in this space. The m-mappings are interesting functional equations; these functional equations are additive for m
Ehsan Movahednia, Manuel De la Sen
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The Intuitionistic Fuzzy Normed Space of Coefficients [PDF]
Intuitionistic fuzzy normed space is defined using concepts of t‐norm and t‐conorm. The concepts of fuzzy completeness, fuzzy minimality, fuzzy biorthogonality, fuzzy basicity, and fuzzy space of coefficients are introduced. Strong completeness of fuzzy space of coefficients with regard to fuzzy norm and strong basicity of canonical system in this ...
Bilalov, B. T. +2 more
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On Ideal Convergent Difference Double Sequence Spaces in Intuitionistic Fuzzy Normed Linear Spaces
In this paper, we introduce difference double sequence spaces ${I_{2} }^{(\mu,\upsilon)}(M,\Delta)$ and ${I_{2}^{0}}^{(\mu,\upsilon)}(M,\Delta)$ in the intuitionistic fuzzy normed linear spaces.
Esra Kamber, Selma Altundağ
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On (λ,μ,ζ)-Zweier ideal convergence in intuitionistic fuzzy normed spaces [PDF]
In this paper, we introduce and study a new type of convergence which is namely (λ,μ,ζ)-Zweier convergence and (λ,μ,ζ)-Zweier ideal convergence of triple sequences x = (xijk) in intuitionistic fuzzy normed spaces (IFNS), where λ= (λn), μ = (μm) and ζ ...
Granados Carlos, Das Suman
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Topological Properties of Jordan Intuitionistic Fuzzy Normed Spaces
AbstractThe article delves into the task of formulation of meticulous sequence spaces whose elements’ convergence is a generalized version of the Cauchy convergence in the setting of intuitionistic fuzzy norm. The task of attaining a finite limit is attained via an infinite matrix operator, namely, Jordan totient operator.
Vakeel A. Khan, Umme Tuba
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In this paper, we use direct and fixed-point techniques to examine the generalised Ulam–Hyers stability results of the general Euler–Lagrange quadratic mapping in non-Archimedean IFN spaces (briefly, non-Archimedean Intuitionistic Fuzzy Normed spaces ...
Kandhasamy Tamilvanan +3 more
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