normed space
On 2 - normed space valued paranormed null sequence space
... Before proceeding with the main results, we recall some of the basic notations and definitions that are used in this paper. The notion of 2–normed space was initially introduced by S. GÄahler [1] as an ...
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Lacunary Δ statistical convergence in intuitionistic fuzzy n normed space
... fuzzy normed space, Vijayabalaji et ...probabilistic normed spaces [, ], ran- dom -normed spaces [] and finally intuitionistic fuzzy normed spaces [, ...fuzzy normed ...
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AN INTRODUCTION ON NORMED SPACE IN FUNCTION ANALYSIS
... In this project, I have about discussed basic definitions of normed space. And discussed the Properties of norm and based theorem.1 have discussed the convergence and metric space with geometry of ...
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On generalized double statistical convergence in a random 2 normed space
... Recently, the concept of statistical convergence has been studied in 2-normed and random 2-normed spaces by various authors. In this paper, we shall introduce the concept of λ -double statistical ...
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On Second Riesz Φ Variation of Normed Space Valued Maps
... of normed space valued func- tions defined on an interval a b , ...Banach space, is of bounded second -variation, in the sense of Riesz, if and only if it can be expressed as the (Bochner) ...
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Every n dimensional normed space is the space Rn endowed with a normal norm
... a normed space, let [A] denote the closed linear span of ...real normed space X, then M is said to be Birkhoff orthogonal to N, denoted by M ⊥ B N , if x + y ≥ x for all x ∈ M and all y ∈ ...
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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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Approximation of the multiplicatives on random multi normed space
... The concept of random normed spaces and their properties are discussed in []. Also, the concept of multi-normed spaces was introduced by Dales and Polyakov. In this paper we combine the mentioned concepts ...
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On n normed spaces
... n-normed space with n ≥ 2 is an (n − 1)-normed space and that, for the standard or finite-dimensional case, the (n − 1)-norm can be derived from the n-norm in such a way that the convergence ...
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Mazur Ulam theorem under weaker conditions in the framework of 2 fuzzy 2 normed linear spaces
... vector space into itself and Väisälä [] gave a short and simple proof of the Mazur-Ulam ...n-normed space, that is, the Mazur-Ulam theorem holds, when the n-isometry mapped to a linear ...
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2k-inner products and 2k-Riemannian metrics
... Abstract. The notion of 2k-inner product is introduced as a generalization of usual inner product and Q-inner product([4]-[8]). As a consequence, is defined the notion of 2k-normed space and some ...
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δ- Best Approximation in 2-Normed Almost Linear Space
... linear space (als) was introduced by ...2-normed space. Basing on this we introduced a new concept called2-normed almost linear spaceand established some results of best approximation in 2- ...
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Module structure of a Hilbert space
... complex linear -space X is called an inner product. The. inner -product of two vectors is not a vector.. 1.7 Normed Space[r] ...
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Vol 2, No 10 (2011)
... fuzzy normed linear space in ...linear space has been introduced and developed by Gahler in ...linear space and studied the completeness of the fuzzy n-normed linear ...fuzzy ...
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Stability of functional equations in \((n,\beta)\) normed spaces
... β)-normed space and non-Archime- dean (n, β)-normed space, then we study the Hyers-Ulam stability of the Cauchy func- tional equation and the Jensen functional equation in non-Archimedean (n, ...
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Stability results in ℒ fuzzy normed spaces for a cubic functional equation
... linear space, and at the same year Wu and Fang [] also introduced a fuzzy normed space and gave the generalization of the Kolmogoroff normalized theorem for a fuzzy topological linear ...linear ...
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On locally convex probabilistic normed spaces
... a normed space, G ∈ D + be a strictly increasing continuous ...seminormed space under T if the following inequalities hold for all u, v ∈ (, +∞), λ ∈ [, ], and every pair of points p and q in V ...
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Intuitionistic fuzzy I convergent Fibonacci difference sequence spaces
... Fuzzy logic was first introduced by Zadeh in 1965 [24] and it found its applications in various fields like control theory, artificial intelligence, robotics. Later on many authors [7, 16] investigated fuzzy topology to ...
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On Some Properties of Hyperconvex Spaces
... Corollary 4.8. If a real normed space E is strictly convex, then all its hyperconvex subsets are convex. Proof. From Proposition 4.7 we know that hyperconvex subsets of E are one dimensional; but from ...
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Some properties of Invertible Elements in Fuzzy Banach algebras
... linear space and at the same year Wu and Fang [14] also introduced a notion of fuzzy normed space and gave the generalization of the Kolmogoroff normalized theorem for fuzzy topological linear ...
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