Two Mappings Related To Semi-Inner Products And Their Applications in Geometry of Normed Linear Spaces [PDF]
, 1998 In this paper we introduce two mappings associated with the lower and upper semiinner product (.,.)i and (.,.)s and with semi-inner products [.,.] (in the sense of Lumer) which generate the norm of a real normed linear space, and study properties of ...
Koliha, Jerry J, Dragomir, Sever S
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On New Notions of Orthogonality in Normed Spaces via the 2-HH-Norms [PDF]
, 2009 Kikianty and Dragomir in 2008 introduced the p-HH-norms on the Cartesian product of two copies of a normed space, which are equivalent to the well-known p-norms. In this paper, notions of orthogonality in terms of 2-HH-norms are introduced.
Dragomir, Sever S, Kikianty, Eder
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A Lower Bound for Continuous Convex Mappings on Normed Linear Spaces [PDF]
, 1998 A lower bound for continuous convex mappings defined on normed linear spaces in terms of norm derivatives and best approximants is ...
Dragomir, Sever S
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A Survey of Recent Reverses for the Generalised Triangle Inequality in Normed Spaces [PDF]
, 2004 Recent reverses of the generalised triangle inequality in normed linear spaces that complement the classical results of Diaz and Metcalf are ...
Dragomir, Sever S
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Stability of mappings on multi-normed spaces [PDF]
, 2007 In this paper, we define multi-normed spaces, and investigate some properties of multi-bounded mappings on multi-normed spaces. Moreover, we prove a generalized Hyers–Ulam–Rassias stability theorem associated to the Cauchy additive equation for mappings ...
Dales, H.G., Moslehian, Mohammad Sal
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Some Fixed Point Theorems in Fuzzy n-Normed Spaces [PDF]
, 2010 The main purpose of this paper is to study the existence of a fixed points in fuzzy n-normed spaces. we proved our main results, a fixed point theorem for a self mapping and a common fixed point theorem for a pair of weakly compatible mappings on fuzzy n-
Rahmat, Mohamad Rafi Segi +1 more
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Some Remarks on Fuzzy N-Normed Spaces [PDF]
, 2009 It is shown that every fuzzy n-normed space naturally induces a locally convex topology, and that every finite dimensional fuzzy n-normed space is ...
Elagan, S.
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Fixed Points and Stability for Functional Equations in Probabilistic Metric and Random Normed Spaces
Fixed Point Theory and Applications, 2009 We prove a general Ulam-Hyers stability theorem for a nonlinear equation in probabilistic metric spaces, which is then used to obtain stability properties for different kinds of functional equations (linear functional equations, generalized equation of ...
Viorel Radu, Liviu Cădariu
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On Functions Preserving Convergence of Series in Fuzzy n-Normed Spaces [PDF]
, 2009 The purpose of this paper is to introduce finite convergence sequences and functions preserving convergence of series in fuzzy n-normed ...
Rahmat, Mohamad Rafi Segi, Elagan, Sayed
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Characterization of Best Approximants from Convex Subsets and Level Sets in Normed Linear Spaces [PDF]
, 1999 Some new characterization of best approximants from convex subsets and level sets of convex mappings in normed linear spaces in terms of norm derivatives and sub-orthogonality in Birkhoff's sense are ...
Dragomir, Sever S
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