A new perspective to the Mazur-Ulam problem in $2$-fuzzy $2$-normed linear spaces
نویسندگان
1 Department of Mathematics, Faculty of Science and Arts, Sinop University, 57000 Sinop, Turkey
doi
10.22111/ijfs.2010.179چکیده
In this paper, we introduce the concepts of $2$-isometry, collinearity, $2$%-Lipschitz mapping in $2$-fuzzy $2$-normed linear spaces. Also, we give anew 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, thatis, the Mazur-Ulam theorem holds, when the $2$-isometry mapped to a $2$%-fuzzy $2$-normed linear space is affine.