In this paper, we introduce the concepts of $2$-isometry, collinearity, $2$% -Lipschitz mapping in $2$-fuzzy $2$-normed linear spaces. Also, we give a new generalization of the Mazur-Ulam theorem when $X$ is a $2$-fuzzy $2$% -normed linear space or $Im (X)$ is a fuzzy $2$-normed linear space, that is, the Mazur-Ulam theorem holds, when the $2$-isometry mapped to a $2$% -fuzzy $2$-normed linear space is affine.
Alaca, C. (2010). A new perspective to the Mazur-Ulam problem in $2$-fuzzy $2$-normed linear spaces. Iranian Journal of Fuzzy Systems, 7(2), 109-119. doi: 10.22111/ijfs.2010.179
MLA
Alaca, C. . "A new perspective to the Mazur-Ulam problem in $2$-fuzzy $2$-normed linear spaces", Iranian Journal of Fuzzy Systems, 7, 2, 2010, 109-119. doi: 10.22111/ijfs.2010.179
HARVARD
Alaca, C. (2010). 'A new perspective to the Mazur-Ulam problem in $2$-fuzzy $2$-normed linear spaces', Iranian Journal of Fuzzy Systems, 7(2), pp. 109-119. doi: 10.22111/ijfs.2010.179
CHICAGO
C. Alaca, "A new perspective to the Mazur-Ulam problem in $2$-fuzzy $2$-normed linear spaces," Iranian Journal of Fuzzy Systems, 7 2 (2010): 109-119, doi: 10.22111/ijfs.2010.179
VANCOUVER
Alaca, C. A new perspective to the Mazur-Ulam problem in $2$-fuzzy $2$-normed linear spaces. Iranian Journal of Fuzzy Systems, 2010; 7(2): 109-119. doi: 10.22111/ijfs.2010.179
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