Title of article :
Some Aspects of 2-Fuzzy 2-Normed Linear Spaces
Author/Authors :
Somasundaram, R. M. Annamalai University - Department of Mathematics, India , Beaula, Thangaraj Tranquebar Bishop Manickam Lutheran(T. B. M. L.) College - Department of Mathematics, India
Abstract :
This paper defines the concept of 2-fuzzy 2-normed linear space. In the 2-fuzzy 2-normed space, α-2-norm is defined corresponding to the fuzzy 2-norm. Standard results in fuzzy 2-normed linear spaces are extended to 2- fuzzy 2-normed linear spaces. The famous closed graph theorem and the Reisz theorem is proved in the realm of 2-fuzzy 2-normed linear spaces.
Keywords :
2 , fuzzy 2 , norm , α , 2 , norm , fuzzy , 2 , banach space , fuzzy partially 2 , closed set.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
