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Fuzzy Bounded and Continuous Linear Operators on Standard Fuzzy Normed Spacesa | ||
| Engineering and Technology Journal | ||
| Article 1, Volume 33, 2B, 2015, Pages 178-185 PDF (915.54 K) | ||
| DOI: 10.30684/etj.33.2B.2 | ||
| Authors | ||
| Jehad R. Kider; Rami M. Jameel | ||
| Abstract | ||
| In this paper we introduce the definition of standard fuzzy normed space, then we discuss several properties after we give an example to illustrate this notion. Then we define F-bounded operator as an introduction to define a standard fuzzy norm of an operator and if T is a linear operator from standard fuzzy normed space X into a standard fuzzy normed space Y we prove that T is continuous if and only if T is F-bounded. | ||
| Keywords | ||
| standard fuzzy normed space; bounded linear operator; a fuzzy norm of an operator | ||
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