Fuzzy Normed Linear Space
A New Notion for Fuzzy Soft Normed Linear Space
... soft normed linear space which has been established in [4] and the definition of fuzzy normed linear space coined by Sadaati [5] in ...coining fuzzy soft ...
10
Uniform Boundedness Principle on 2-Fuzzy Normed Linear Spaces
... 2-fuzzy normed linear space. A weak bounded 2-fuzzy linear mapping defined from (F(X), N) to R (the set of real numbers) is said to be weakly 2-fuzzy ...2- fuzzy ...
9
Vol 3, No 1 (2012)
... a linear space. For a systematic development of n-normed linear space one may refer to [5, 6, 8, ...n-normed linear space. A detailed theory of fuzzy ...
6
Vol 2, No 10 (2011)
... a fuzzy norm in such a manner that the corresponding fuzzy metric is of Kramosil and Michalek type ...the fuzzy norm in [2] and ...in fuzzy normed linear space in ...the ...
9
Mazur Ulam theorem under weaker conditions in the framework of 2 fuzzy 2 normed linear spaces
... -normed linear space or (X) is a fuzzy -normed linear ...n-normed linear space or fuzzy n-normed linear space of the set of all ...
9
Vol 9, No 3 (2018)
... of Fuzzy sets was introduced by ...interval-valued fuzzy subsets in ...intuitionistic fuzzy metric spaces. Many authors introduced the definition of fuzzy inner product space and ...
11
On Fuzzy Ward Continuity in an Intuitionistic 2-Fuzzy 2-Normed Linear Space
... in linear spaces. The concept of 2-normed space was developed by Gahler in the middle of 1960’s ...classical normed spaces and Banach spaces ...the fuzzy set in this seminal ...
7
Properties of Fuzzy Compact Linear Operators on Fuzzy Normed Spaces
... of fuzzy complete fuzzy normed spaces were studied by Saadati and Vaezpour in 2005 ...of fuzzy bounded linear operators on a fuzzy normed space were investigated by ...
7
Some fixed point results in fuzzy cone normed linear space
... metric space in many ways. One of them is the notion of cone metric space introduced by Long-Guang et ...of fuzzy norm to fuzzy cone norm with replacement of R by a real Banach ...metric ...
14
Cubic-quartic functional equations in fuzzy normed spaces
... a fuzzy norm on a linear space and at the same year Wu and Fang [35] also introduced a notion of fuzzy normed ...studied fuzzy inner product ...defined fuzzy metrics and ...
10
Some properties of Invertible Elements in Fuzzy Banach algebras
... of fuzzy set theory was first introduced by Zadeh[15] in 1965 and thereafter, the concept of fuzzy set theory applied on dif- ferent branches of pure and applied mathematics in different ways by several ...
5
An introduction to 2 fuzzy n normed linear spaces and a new perspective to the Mazur Ulam problem
... a linear 2-normed ...a linear n-normed space, that is, the Mazur-Ulam theorem holds, when the n-isometry mapped to a linear n-normed space is ...in linear ...
17
Vol 7, No 2 (2016)
... of fuzzy 2-bounded linear operator on a fuzzy 2-normed linear space to another fuzzy 2-normed linear space and two types of (strong and weak) ...
5
Some results on 2-fuzzy n-normed linear spaces
... n-normed linear spaces. The authors gave the notion of α -n-norm on a linear space corresponding to the 2-fuzzy n-norme by using some ideas of Bag and Samanta ...of linear ...
15
Vol 8, No 10 (2017)
... intuitionistic fuzzy (n-1)-norm from intuitionistic fuzzy n-norm and then prove that any intuitionistic fuzzy n-normed linear space is an intuitionistic fuzzy ...
12
Lacunary Statistical Convergence in Fuzzy Normed Linear Spaces
... Let X be a vector space over R , let . : X → L ∗ ( ) R and the mappings L R ; (respectively, left norm and right norm) : 0,1 [ ] [ ] [ ] × 0,1 → 0,1 be symetric, nondecreasing in both arguments and satisfy L ( ) ...
5
18. Closability of farthest point maps in fuzzy normed spaces
... a fuzzy norm on a linear space was initiated by Katsaras [8] in ...a fuzzy norm from different points of ...a fuzzy norm on a linear space in such a manner that its ...
6
On the Mazur Ulam problem in non Archimedean fuzzy 2 normed spaces
... The Mazur-Ulam theorem is not true for a normed complex vector space. In addition, the onto assumption is also essential. Without this assumption, Baker [] proved that an isometry from a normed real ...
6
Fuzzy boundedness and contractiveness on intuitionistic 2-fuzzy 2-normed linear space
... of fuzzy sets was introduced by ...a linear space has been introduced and developed by Gahler ...concepts fuzzy norm and α-norm were introduced by Bag and Samanta ...defined fuzzy ...
9
Stability results in ℒ fuzzy normed spaces for a cubic functional equation
... of fuzzy sets was introduced by Zadeh [] in ...obtain fuzzy analogues of classical ...of fuzzy topology [–]. One of problems in L-fuzzy topology is to obtain an appropriate concept of ...
9