Continuous linear transformations on generalized fuzzy normed spaces
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DOI:
https://doi.org/10.26637/MJM0802/0027Abstract
In this study the definition of bounded linear transformation and continuous linear transformation in a Generalized Fuzzy normed space is introduced. Also classical principals such as open mapping theorem and closed graph theorem are established in Generalized Fuzzy settings. Finally we introduce contraction of a linear operator on Generalized Fuzzy normed space and Banach fixed point theorem is proved in Generalized Fuzzy Banach space.
Keywords:
Fuzzy normed space, Generalized Fuzzy normed space, Generalized Fuzzy Banach space, Generalized Fuzzy bounded linear transformation,, Generalized Fuzzy Continuous linear transformationMathematics Subject Classification:
Mathematics- Pages: 485-488
- Date Published: 01-04-2020
- Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)
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