Results 21 to 30 of about 665 (269)
A Generalized Mazur-Ulam Theorem for Fuzzy Normed Spaces [PDF]
Abstract and Applied Analysis, 2014 We introduce fuzzy norm-preserving maps, which generalize the concept of fuzzy isometry. Based on the ideas from Vogt, 1973, and Väisälä, 2003, we provide the following generalized version of the Mazur-Ulam theorem in the fuzzy context: let X, Y be fuzzy
J. J. Font +3 more
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Fuzzy Normed Linear Spaces Generated By Linear Functionals [PDF]
Sahand Communications in Mathematical AnalysisFor a nonzero normed linear space X, we will define some different classes of fuzzy norms on X generated by linear and bounded linear functionals. Also separate continuity of the elements within each class are investigated. The aim of this research is to
Ali Reza Khoddami, Fatemeh Kouhsari
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On generalizations of fuzzy metric spaces [PDF]
, 2023 summary:The aim of the paper is to present three-variable generalizations of fuzzy metric spaces in sense of George and Veeramani from functional and topological points of view, respectively.
Shi, Yi, Yao, Wei
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Completeness of the Cartesian Product of Two Complete Fuzzy Normed Spaces [PDF]
Engineering and Technology Journal, 2013 In this paper it was proved that the Cartesian product of two fuzzy normed spaces is a fuzzy normed space then it was proved that the Cartesian product of two complete fuzzy normed spaces is again a complete fuzzy normed space.
Jehad R. Kider
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Fuzzy Convergence Sequence and Fuzzy Compact Operators on Standard Fuzzy Normed Spaces
مجلة بغداد للعلوم, 2021 The main purpose of this work is to introduce some types of fuzzy convergence sequences of operators defined on a standard fuzzy normed space (SFN-spaces) and investigate some properties and relationships between these concepts.
Raghad I. Sabri
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Diameter Approximate Best Proximity Pair in Fuzzy Normed Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2019 The main purpose of this paper is to study the approximate best proximity pair of cyclic maps and their diameter in fuzzy normed spaces defined by Bag and Samanta.
Seyed Ali Mohammad Mohsenialhosseini +1 more
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Lacunary Statistical Convergence for Double Sequences on $\mathscr{L}-$ Fuzzy Normed Space
Journal of Mathematical Sciences and Modelling, 2023 On $\mathscr{L}-$ fuzzy normed spaces, which is the generalization of fuzzy spaces, the notion of lacunary statistical convergence for double sequences which is a generalization of statistical convergence, are studied and developed in this paper.
Reha Yapalı, Husamettin Coşkun
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The Intuitionistic Fuzzy Normed Space of Coefficients [PDF]
Abstract and Applied Analysis, 2012 Intuitionistic fuzzy normed space is defined using concepts of t‐norm and t‐conorm. The concepts of fuzzy completeness, fuzzy minimality, fuzzy biorthogonality, fuzzy basicity, and fuzzy space of coefficients are introduced. Strong completeness of fuzzy space of coefficients with regard to fuzzy norm and strong basicity of canonical system in this ...
Bilalov, B. T. +2 more
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Fuzzy n‐normed linear space [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 The primary purpose of this paper is to introduce the notion of fuzzy n‐normed linear space as a generalization of n‐normed space. Ascending family of α‐n‐norms corresponding to fuzzy n‐norm is introduced. Best approximation sets in α‐n‐norms are defined. We also provide some results on best approximation sets in α‐n‐normed space.
A. Narayanan, Srinivasan Vijayabalaji
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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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