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Continuous linear transformations on generalized fuzzy normed spaces
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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.
Title: Continuous linear transformations on generalized fuzzy normed spaces
Description:
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.
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