Uniform boundedness principle in generalized fuzzy normed linear spaces

Abstract

In the present work, firstly uniform boundedness principle (UBP) theorem is established in a generalized fuzzy normed space from which Banach-Steinhaus theorem in fuzzy settings is derived. An example of an incomplete fuzzy normed linear space is constructed by applying the UBP theorem. Finally relation between our result and the existing UBP theorem of Bag and Samanta is studied.