Fuzzy bounded linear operators

Bag, T.; Samanta, Sourav

doi:10.1016/j.fss.2004.05.004

Cited by 207 publications

(123 citation statements)

References 6 publications

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“…Different types of fuzzy bounded linear operators and the relation between fuzzy continuity and fuzzy boundedness were studied in [3], in the context of Bag-Samanta's type fuzzy normed linear spaces. The study of fuzzy continuous mappings and fuzzy bounded linear operators in fuzzy normed linear spaces initiated by T. Bag and S.K.…”

Section: Fuzzy Normed Linear Spacesmentioning

confidence: 99%

The Fuzzification of Classical Structures: A General View

Dzițac

2015

INT J COMPUT COMMUN

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Section: Fuzzy Normed Linear Spacesmentioning

confidence: 99%

The Fuzzification of Classical Structures: A General View

Dzițac

2015

INT J COMPUT COMMUN

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“…,…,L(||x n-1 ||(t n-1 ), ||x n ||(t n ))…)), whenever t i  |||x i ||| 1 1 i = 1,….,n and t =  n i 1…”

Section: Preliminariesmentioning

confidence: 99%

“…Xiao and Zhu [18] studied the linear topological structure of the fuzzy normed linear space and obtained some basic properties. Many authors proved results in fuzzy normed linear spaces including Bag and Samanta [1], Xiao and Zhu [19], [20], Fang [5], Fang and Song [7].…”

Section: Introductionmentioning

confidence: 99%

On Nonlinear Equations for -Contractor Couple in Fuzzy Normed Spaces

Joshi¹

2015

IJIRSET

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ABSTRACT:In this chapter, I introduce the concept of -contractor couple in fuzzy normed spaces, which extends the concept of -contractor in fuzzy normed spaces given by Fang and Song [7]. By using the concept of -contractor couple we investigate the existence of solutions for set-valued nonlinear operator equations. As an application of our main theorem, a new fixed point theorem in fuzzy normed spaces is obtained. Our results improve and extend the results of Fang and Song [7].

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“…In 2003, Bag and Samanta [3] and Saadati and Vaezpour [44] modified the definition of Cheng and Mordeson [16] by removing a regular condition. They also established a decomposition theorem of a fuzzy norm into a family of crisp norms and investigated some properties of fuzzy norms (see [4]). Following [3], we give the employing notion of a fuzzy norm.…”

Section: Introductionmentioning

confidence: 99%