Results 11 to 20 of about 335 (266)
Some Basic Results on Fuzzy Strong $\phi$-b-Normed Linear Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2023 Following the definition of fuzzy normed linear space which was introduced by Bag and Samanta in general t-norm settings, in this paper, definition of fuzzy strong $\phi$-b-normed linear space is given.
Abhishikta Das +2 more
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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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The Fuzzy Width Theory in the Finite-Dimensional Space and Sobolev Space
Mathematics, 2023 This paper aims to fuzzify the width problem of classical approximation theory. New concepts of fuzzy Kolmogorov n-width and fuzzy linear n-width are introduced on the basis of α-fuzzy distance which is induced by the fuzzy norm.
Yanyan Xu, Lu Sun, Hao Li, Guanggui Chen
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The Completion of a Fuzzy Normed Linear Space
Journal of Mathematical Analysis and Applications, 1993 The existence of incomplete normed linear spaces necessitated the author to obtain the fuzzy analogue of the completion of an incomplete fuzzy normed linear space. The proof imitates step by step the original functional analysis technique on completion of incomplete normed linear space.
Clementina, F.
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Fuzzy Strong ϕ-b-Normed Linear Space for Fuzzy Bounded Linear Operators
New Mathematics and Natural Computation, 2023 In this paper, concept of fuzzy continuous operator, fuzzy bounded linear operator are introduced in fuzzy strong [Formula: see text]-b-normed linear spaces and their relations are studied. Idea of operator fuzzy norm is developed and completeness of BF(X,Y) is established.
Abhishikta Das, Tarapada Bag
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Schauder-Type Fixed Point Theorem in Generalized Fuzzy Normed Linear Spaces
Mathematics, 2020 In the present article, the Schauder-type fixed point theorem for the class of fuzzy continuous, as well as fuzzy compact operators is established in a fuzzy normed linear space (fnls) whose underlying t-norm is left-continuous at (1,1).
S. Chatterjee, T. Bag, Jeong-Gon Lee
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Stabilities of Cubic Mappings in Fuzzy Normed Spaces
Advances in Difference Equations, 2010 Rassias(2001) introduced the pioneering cubic functional equation in the history of mathematical analysis: and solved the pertinent famous Ulam stability problem for this inspiring equation.
Ghaffari Ali, Alinejad Ahmad
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The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited [PDF]
Abstract and Applied Analysis, 2014 This paper deals with fuzzy normed spaces in the sense of Cheng and Mordeson. We characterize fuzzy norms in terms of ascending and separating families of seminorms and prove an extension theorem for continuous linear functionals on a fuzzy normed space.
Carmen Alegre, Salvador Romaguera
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Generalized s r I -statistical convergence in intuitionistic fuzzy normed linear space [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2018 The notion of lacunary ideal convergence in intuitionistic fuzzy normed linear space (IFNLS) was introduced in (Debnath, 2012). As a continuation of this work, in the present paper, we introduce and study the new concept of s r I -statistical ...
Nabanita Konwar, Pradip Debnath
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Complete Fuzzy n-normed linear space
Malaysian Journal of Fundamental and Applied Sciences, 2014 This paper introduces the notion of Cauchy sequence, convergent sequence and completeness in fuzzy n-normed linear space. AMS Mathematics Subject Classification: 46S40, 03E72.
S. Vijayabalaji, N. Thillaigovindan
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