Some fixed point theorems in fuzzy normed linear spaces

Bag, T.; Samanta, Sourav

doi:10.1016/j.ins.2007.01.027

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Introduction3

Issn: 0067-29041

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Cited by 42 publications

(20 citation statements)

References 18 publications

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“…58, No.3A, pp: 1273-1281 In 2015 Nadaban [12] studied properties of fuzzy continuous mapping on a fuzzy normed linear spaces. The concept of fuzzy norm has been used in developing the fuzzy functional analysis and its applications and many researches by distinct authors introduced for more details please see [13][14][15][16][17][18][19][20][21][22][23] .…”

Section: Issn: 0067-2904mentioning

confidence: 99%

Properties of Fuzzy Norm of fuzzy Bounded Operators

2017

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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 then we proved that the fuzzy normed space FB(X,Y) consisting of all fuzzy bounded linear operators from a fuzzy norm space X into a fuzzy norm space Y is fuzzy complete if Y is fuzzy complete. Also we introduce different types of fuzzy convergence of operators.

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Section: Issn: 0067-2904mentioning

confidence: 99%

Properties of Fuzzy Norm of fuzzy Bounded Operators

2017

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“…We believe that the suitable definition of fuzzy norm was introduced by Bag and Samanta [6] and they study properties of finite dimensional fuzzy normed space. Other approaches for fuzzy normed space can be found in [7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%