product-normed linear space
Product-Normed Linear Spaces
... the product-normed linear space P −N LS (product-Banach space) and product-semi-normed linear space (product-semi-Banch space) are ...
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Vol 2014
... inner product. If a vector spaces on which a form [x, y] which is linear in one component only, strictly positive and satisfies schwartz inequality is defined, then such a form induces a norm by setting kxk ...
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A Lower Bound for Continuous Convex Mappings on Normed Linear Spaces
... This result can also be viewed as an estimation theorem for the continuous convex mappings defined on a normed space in terms of semi-inner product ( .,... DRAGOMIR , A characterization [r] ...
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Generalizations of the Lax-Milgram Theorem
... a linear and a nonlinear generalization of the Lax-Milgram ...the product of a reflexive Banach space and a normed space to represent all bounded linear functionals of the ...
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Cubic-quartic functional equations in fuzzy normed spaces
... 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, ...a linear ...
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On Multi Normed Linear Spaces
... Metric space is the beginning of functional analysis and it has several applications in many branch of functional ...metric space. Research on Multi norm and multi inner product can be of special ...
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On asphericity of convex bodies in linear normed spaces
... flat space generated by ...a linear normed space, and the center and the radius of the largest ball contained in it, provided that C has a nonempty boundary set with respect to the flat ...
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Some properties of Invertible Elements in Fuzzy Banach algebras
... a 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 ...
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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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An Orlicz extension of difference sequences on real linear n normed spaces
... n-inner product, n-norms, and the Cauchy-Schwarz ...The space of p-summable sequences and its natural ...n-normed linear space valued null, convergent and bounded ...
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On Fuzzy Ward Continuity in an Intuitionistic 2-Fuzzy 2-Normed Linear Space
... Abstract. In this paper not only the fuzzy ward continuity but also some other kinds of continuities are investigated in intuitionistic 2-fuzzy 2-normed linear space. It turns out that uniform limit ...
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On locally convex probabilistic normed spaces
... Locally convex probabilistic normed spaces are an interesting topic. In fact, some papers [–] discussed the subject, and we enjoy the topic too. On the basis of these papers, we try to search more concepts and ...
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An introduction to 2 fuzzy n normed linear spaces and a new perspective to the Mazur Ulam problem
... a linear space has been introduced and developed by Gähler ...n-normed space is an (n - 1)-normed ...a linear space. The concept of fuzzy n-normed lin- ear spaces ...
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Fuzzy boundedness and contractiveness on intuitionistic 2-fuzzy 2-normed linear space
... a linear space has been introduced and developed by Gahler ...fuzzy linear space in a different way. The notion of 2-fuzzy 2-normed linear space of the set of all fuzzy ...
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Random Stability of a Functional Equation Related to An Inner Product Space
... The Hyers-Ulam stability of functional equations in random normed spaces and fuzzy normed spaces has been studied [see 3, 4, 6, 8, 9, 11, 12]. Let V, W be vector spaces. It is shown that if a mapping f : V ...
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Stability results in ℒ fuzzy normed spaces for a cubic functional equation
... 19. Ulam, SM: Problems in Modern Mathematics. Chapter VI. Science Editions. Wiley, New York (1964) 20. Hyers, DH: On the stability of the linear functional equation. Proc. Natl. Acad. Sci. USA 27, 222-224 (1941) ...
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A contractive mappings on fuzzy normed linear spaces
... In this paper, we use the definition of fuzzy normed spaces given by Bag and Samanta and provide four types of fuzzy versions of contraction. We show that these mappings necessarily have unique fixed points in ...
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Vol 3, No 9 (2012)
... a linear space has been introduced and developed by Gahler in ...fuzzy linear space in a different way. The notion of 2-fuzzy 2- normed linear space of the set of all ...
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On strong orthogonality and strictly convex normed linear spaces
... 12. Birkhoff, G: Orthogonality in linear metric spaces. Duke Math. J. 1, 169-172 (1935) 13. Klee, VL Jr.: Extremal structure of convex sets. I. Arch. Math. 8, 234-240 (1957) 14. Klee, VL Jr.: Extremal structure of ...
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A topological approach to nonlinear analysis
... The topological proof will utilize the ideas of complete metric spaces, Ascoli- Arzela theorem, topological properties in Euclidean n-space and normed linear spaces, and the extension [r] ...
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