Schauder bases and approximation property in fuzzy normed spaces

被引：10
|
作者：
Yilmaz, Yilmaz [1 ]
机构：
[1] Inonu Univ, Fac Arts & Sci, Dept Math, TR-44280 Malatya, Turkey
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 06期
关键词：
Fuzzy norm; Fuzzy bounded operator; Schauder basis; Approximation property; LINEAR-OPERATORS;
D O I：
10.1016/j.camwa.2009.11.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our aim in this article is to introduce and study the notion of weak and strong Schauder bases in fuzzy normed spaces. Further, we introduce strong and weak fuzzy approximation properties and set a relationship between these two new notions which may provide an acceleration to the structural analysis of fuzzy normed spaces. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1957 / 1964
页数：8
相关论文
共 50 条
  • [21] SCHAUDER BASES AND KOTHE SEQUENCE SPACES
    DUBINSKY, EL
    RETHERFO.JR
    BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1966, 14 (09): : 497 - &
  • [22] SCHAUDER BASES IN A AND HL BANACH SPACES
    BILLARD, P
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1970, 271 (01): : 36 - &
  • [23] Best simultaneous approximation in fuzzy anti-normed linear spaces
    Reddy, B. Surender
    Dutta, Hemen
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2013, 25 (01) : 95 - 102
  • [24] Some new results on approximation in fuzzy 2-normed spaces
    Mohiuddine, S. A.
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (5-6) : 574 - 580
  • [25] Approximation in normed linear spaces
    Watson, GA
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 121 (1-2) : 1 - 36
  • [26] On normed spaces with the Wigner Property
    Wang, Ruidong
    Bugajewski, Dariusz
    ANNALS OF FUNCTIONAL ANALYSIS, 2020, 11 (03) : 523 - 539
  • [27] Fixed point theorems for contractions in fuzzy normed spaces and intuitionistic fuzzy normed spaces
    Zhu, Jiang
    Wang, Yunjie
    Zhu, Cheng-Cheng
    FIXED POINT THEORY AND APPLICATIONS, 2013, : 1 - 10
  • [28] On normed spaces with the Wigner Property
    Ruidong Wang
    Dariusz Bugajewski
    Annals of Functional Analysis, 2020, 11 : 523 - 539
  • [29] TOPOLOGIZING LOCALLY CONVEX SPACES BY SCHAUDER BASES
    KNOWLES, RJ
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (06): : A730 - &
  • [30] Fixed point theorems for contractions in fuzzy normed spaces and intuitionistic fuzzy normed spaces
    Jiang Zhu
    Yunjie Wang
    Cheng-Cheng Zhu
    Fixed Point Theory and Applications, 2013
12345