2-norm linear space.
Random Projection for Linear 2 norm Support Vector Machine
... The linear 2-norm Support Vector Machine (L2-SVM) builds a hyper-plane which maximizes the 2-norm soft ...projected space are almost unchanged with high probability compared with ...
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Fuzzy n normed linear space
... • , • is called a 2-norm on X and the pair (X, • , • ) is called a linear 2-normed space. Definition 2.2 [11]. Let n ∈ N (natural numbers) and let X be a real vector space of di- ...
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Mazur Ulam theorem under weaker conditions in the framework of 2 fuzzy 2 normed linear spaces
... A satisfactory theory of -norm and n-norm on a linear space has been introduced and developed by Gähler in [, ]. Freese and Cho [] gave some isometry conditions in lin- ear -normed ...
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Cubic-quartic functional equations in fuzzy normed spaces
... fuzzy norm on a linear space and at the same year Wu and Fang [35] also introduced a notion of fuzzy normed ...a linear space from various points of view [4, 8, 14, 30, 31, 32, ...fuzzy ...
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“Some Results on the Dual Space of Normed Almost Linear Space”
... almost linear functional defined on an almost linear space X is denoted by X # ...2.4: Norm on an almost linear space: A norm ||| ∙ ||| on an almost linear ...
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δ- Best Approximation in 2-Normed Almost Linear Space
... Example: 2.4. Let (E,|| . ||) be a normed linear space. Let X = { 𝛼 ∈ E : 𝛼 ≥0}.Then X is an als. Define ||| 𝛼, 𝛽 ||| = || 𝛼, 𝛽 || Where || . || is 2- norm on E. Then ||| . ||| satisfies all ...
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Fuzzy boundedness and contractiveness on intuitionistic 2-fuzzy 2-normed linear space
... of 2-norm on a linear space has been introduced and developed by Gahler ...fuzzy norm and α-norm were introduced by Bag and Samanta ...fuzzy linear space in a ...
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Vol 8, No 10 (2017)
... of 2-norm and n-norm on a linear ...n-normed linear spaces, one may refer to [1, 2, 8, ...fuzzy norm over a linear ...normed space. The definition of ...
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On Fuzzy Ward Continuity in an Intuitionistic 2-Fuzzy 2-Normed Linear Space
... dimensional norm in linear spaces. The concept of 2-normed space was developed by Gahler in the middle of 1960’s ...in 2-normed spaces, analogous with that in classical normed spaces ...
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A CHARACTERIZATION OF EXTREMAL ELEMENTS IN SOME LINEAR PROBLEMS
... the norm of the functional ψ on P is attained at it always exists but it is not necessarily unique; see the example after the proof of Theorem 4 in Section ...the space X is strictly normed then the ...
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Some Fixed Point Properties of Self-Maps Constructed by Switched Sets of Primary Self-Maps on Normed Linear Spaces
... normed linear space X endowed with a norm · for self-maps f from T × X to X which are constructed from a given class of so-called primary self- maps being also from T × X to ...
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Statistical Classification Using the Maximum Function
... In our two previous articles [1] and [2], it is shown that the maximum function can be used to introduce new ap- proaches in Discrimination Analysis and in Clustering. The present article, which completes the ...
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Some steps towards the generation of diachronic WordNets
... output space of the Wikipedia article on Maslow’s Hierarchy of Needs (a very hierarchical ...the space, higher in norm, and located as di- rect hyponyms of physiological (they are closer to ...
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A study of optimization in Hilbert Space
... / defined on a subspace M ofa normed linear space can be extended to a bounded linear. functional F defined on the entire space and with norm equal to the norm of/ on M,that[r] ...
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Linear programming and the calculation of maximum norm approximations
... TABLE OF CONTENTS Acknowledgements Preface ii iii Abstract CHAPTE R 1: I NTRODUCTI ON CHAPTER 2: BEST LINEAR CHEBYSHEV APPROXIMATION CHA PTER 3: CHAPTER 4: 9 2.1 INT RODUCTI ON 2.2 CHARA[r] ...
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Equivalence of multi-norms
... this gives the result. Actually, our claim is somewhat weaker, and follows from more elementary arguments, given in [14, Lemma 1.3], for example. We shall refer to Lorentz sequence spaces. Suppose that 1 ≤ p ≤ q < ∞ . ...
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Comparison between Certain Equivalent Norms Regarding Some Familiar Properties Implying WFPP
... this norm in these spaces would also improve properties that imply the weak fixed point property ...original norm has better properties, and in some cases you cannot compare ...
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Norm and numerical radius inequalities for sums of operators in Hilbert spaces
... a linear space over the real or complex number field K and let us denote by H (X) the class of all positive semi-definite Hermitian forms on X, or, for simplicity, nonnegative forms on X, ...
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Linear maps preserving rank 2 on the space of alternate matrices and their applications
... the linear space of all n × n alternate matrices over a field ...all linear bijective maps on n (F) (n ≥ 4) preserving rank 2 when F is any field, and thereby the characterization of all ...
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Some Lacunary Sequence Spaces of Invariant Means Defined by Musielak Orlicz Functions on 2 Norm Space
... The purpose of this paper is to introduce and study some sequence spaces which are defined by combining the concepts of sequences of Musielak-Orlicz functions, invariant means and lacunary convergence on ...
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