9 research outputs found
A Cubic Set Theoretical Approach to Linear Space
The main motivation of this paper is to introduce the notion of cubic linear space. This inspiration is received from the structure of cubic sets. The notions of R-intersection, R-union, P-intersection, and P-union of cubic linear spaces are defined and we provide some results on these. We further introduce the notion of internal cubic linear space and external cubic linear space and establish some results on them
Normalsize Some Fixed Point Theorems in Intuitionistic Fuzzy n -Normed Linear spaces
Abstract In this paper the concepts of sectional intuitionistic fuzzy continuous mapping, l -intuitionistic fuzzy compact sets and asymptotic intuitionistic fuzzy normal structure are introduced. Schauder type and Baillon and Schoneberg type fixed point theorems are also established in an intuitionistic fuzzy n -normed linear space
A Cubic Set Theoretical Approach to Linear Space
The main motivation of this paper is to introduce the notion of cubic linear space. This inspiration is received from the structure of cubic sets. The notions of R-intersection, R-union, P-intersection, and P-union of cubic linear spaces are defined and we provide some results on these. We further introduce the notion of internal cubic linear space and external cubic linear space and establish some results on them
Fuzzy n-normed linear space
The primary purpose of this paper is to introduce the notion of
fuzzy n-normed linear space as a generalization of n-normed
space. Ascending family of α-n-norms corresponding to fuzzy n-norm is introduced. Best approximation sets in
α-n-norms are defined. We also provide some results on
best approximation sets in α-n-normed space