WebSep 5, 2024 · 3.6: Normed Linear Spaces. By a normed linear space (briefly normed space) is meant a real or complex vector space E in which every vector x is associated with a real number x , called its absolute value or norm, in such a manner that the properties (a′) − (c′) of §9 hold. That is, for any vectors x, y ∈ E and scalar a, we have. WebApr 9, 2024 · Some Basic Results on Fuzzy Strong \phi-b-Normed Linear Spaces. محل انتشار: مجله تحریریه ی آنالیز ریاضی سهند، دوره: 20، شماره: 2
Fuzzy normed linear space valued sequence space lpF (X).
WebIn 1984, Katsaras [13] defined a fuzzy norm on a linear space and at the same year Wu and Fang [21] also introduced a notion of fuzzy normed space and gave the generalization of the Kolmogoroff normalized theorem for fuzzy topological linear space. In [7], Biswas defined and studied fuzzy inner product spaces in linear space. Since then some ... WebFeb 28, 2013 · The purpose of this paper is to prove that every 2-isometry without any other conditions from a fuzzy 2-normed linear space to another fuzzy 2-normed linear space is affine, and to give a new result of the Mazur-Ulam theorem for 2-isometry in the framework of 2-fuzzy 2-normed linear spaces.MSC:03E72, 46B20, 51M25, 46B04, 46S40. in low time
Fuzzy Normed Linear Spaces Request PDF - ResearchGate
WebAug 5, 2024 · The principal aim of this research is to use the definition of fuzzy normed space to define fuzzy bounded operator as an introduction to define the fuzzy norm of a fuzzy bounded linear operator ... WebThe main goal of this article is to present the notion of Fibonacci I-convergence of sequences on intuitionistic fuzzy normed linear space. To accomplish this goal, we mainly investigate some fundamental properties of the newly introduced notion. Then, we examine the Fibonacci I-Cauchy sequences and Fibonacci I completeness in the construction ... WebJun 24, 2024 · The study of completion of fuzzy metric space and fuzzy normed linear space constitutes a natural and interesting open question in the analysis of such spaces. … in low light