Fuzzy Normed Space
Quadratic (s1,s2)-functional inequality in fuzzy normed space
... and Radu V., On the stability of the additive Cauchy functional equation in random normed spaces,. S., Fuzzy stability of the Jensen functional equation,[r] ...
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Properties of Fuzzy Compact Linear Operators on Fuzzy Normed Spaces
... of fuzzy normed space is recalled and its basic ...of fuzzy compact operator from fuzzy normed space into another fuzzy normed space is introduced ...
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18. Closability of farthest point maps in fuzzy normed spaces
... a fuzzy normed ...linear space. By a fuzzy norm on 𝑋 , we mean a fuzzy subset of 𝑋 × [0, ∞) such that the following conditions hold for all 𝑥, 𝑦 ∈ 𝑋 and scalars 𝑐, 𝑠, ...
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Intuitionistic fuzzy I convergent Fibonacci difference sequence spaces
... investigated fuzzy topology to define fuzzy metric ...of fuzzy sets, Atanassov [1] defined the view of intuitionistic fuzzy ...Intuitionistic fuzzy normed space [18] and ...
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Some properties of Invertible Elements in Fuzzy Banach algebras
... of fuzzy set theory was first introduced by Zadeh[15] in 1965 and thereafter, the concept of fuzzy set theory applied on dif- ferent branches of pure and applied mathematics in different ways by several ...
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Fuzzy stability of a mixed type functional equation
... Theorem 2.2 . Let q be a positive real number with q = 1 2 , 1. And let f be a fuzzy q- almost quadratic-additive mapping from a fuzzy normed space (X, N) into a fuzzy Banach ...
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Cubic-quartic functional equations in fuzzy normed spaces
... a fuzzy norm on a linear space and at the same year Wu and Fang [35] also introduced a notion of fuzzy normed ...studied fuzzy inner product ...defined fuzzy metrics and norms on ...
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Vol 8, No 10 (2017)
... linear space. For a systematic development of n-normed linear spaces, one may refer to [1, 2, 8, ...of fuzzy set was introduced by ...of fuzzy norm over a linear ...of fuzzy ...
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Stability results in ℒ fuzzy normed spaces for a cubic functional equation
... of fuzzy sets was introduced by Zadeh [] in ...obtain fuzzy analogues of classical ...of fuzzy topology [–]. One of problems in L-fuzzy topology is to obtain an appropriate concept of ...
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Lacunary Δ statistical convergence in intuitionistic fuzzy n normed space
... defined fuzzy n-normed linear ...intuitionistic fuzzy normed space, Vijayabalaji et ...intuitionistic fuzzy n-normed ...probabilistic normed spaces [, ], ran- ...
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Browder's Fixed Point Theorem and Some Interesting Results in Intuitionistic Fuzzy Normed Spaces
... the fuzzy theory has emerged as the most active area of research in many branches of mathematics and ...engineering. Fuzzy set theory is a powerful hand set for modelling uncertainty and vagueness in ...
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Stability of a mixed type cubic and quartic functional equation in fuzzy Banach spaces
... Hyers [8] was the first person to point out the direct method for studying the stability of func- tional equation. In 2003, Radu [19] proposed the fixed point alternative method to solve the Ulam problem. Subsequently, ...
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Intuitionistic Fuzzy Stability of n-Dimensional Cubic Functional Equation: Direct and Fixed Point Methods
... Definition 3.1.4. An IFN-space ( , X P µ ν , , ) T is said to be complete if every Cauchy sequence in X is convergent to a point x ∈ X .For further details about IFN space one can see ([4, 7, 8, 12, 13, ...
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Properties of a Complete Fuzzy Normed Algebra
... complete normed algebra to the complete fuzzy normed algebra at this end a proof of multiplication fuzzy continuous is ...every fuzzy normed algebra 𝑉 without identity can be ...
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Some results on 2-fuzzy n-normed linear spaces
... A fuzzy linear space X e =X × (0, 1] over the number field K where the addition and scalar multiplication operation on X are defined by (x, λ )+(y , µ )=(x + y, λ ∧ µ ), k(x, λ ) = (kx,λ ) is a fuzzy ...
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An introduction to 2 fuzzy n normed linear spaces and a new perspective to the Mazur Ulam problem
... n-normed space, that is, the Mazur-Ulam theorem holds, when the n-isometry mapped to a linear n-normed space is ...2- normed spaces over a linear ordered non-Archimedean field without ...
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Vol 2, No 10 (2011)
... a fuzzy norm in such a manner that the corresponding fuzzy metric is of Kramosil and Michalek type ...the fuzzy norm in [2] and ...in fuzzy normed linear space in ...the ...
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Statistical convergence in a paranormed space
... in normed spaces by Kolk [12] and in locally convex Hausdorff topological spaces by Maddox ...probabilistic normed space and in intuitionistic fuzzy normed spaces, ...
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The Hyers Ulam Rassias stability of the quartic functional equation in fuzzy β normed spaces
... general fuzzy normed spaces to fuzzy β -normed spaces and adopt the fixed point and direct methods to prove the Hyers-Ulam-Rassias stability of the quartic functional equation f (2x + y + z) + ...
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Ulam-Hyers Stability of Additive and Reciprocal Functional Equations: Direct and Fixed Point Methods
... Generalized Fuzzy Normed Spaces, International Mathematical Forum, 4, 2009, ...Hoehle, Fuzzy real numbers as Dedekind cuts with respect to a multiple-valued logic, Fuzzy Sets ...
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