On the Mazur–Ulam theorem in fuzzy normed spaces
نویسنده
چکیده
In this paper, we establish the Mazur–Ulam theorem in the fuzzy strictly convex real normed spaces. Mathematics Subject Classification. Primary 46S40; Secondary 39B52, 39B82, 26E50, 46S50.
منابع مشابه
A new perspective to the Mazur-Ulam problem in $2$-fuzzy $2$-normed linear spaces
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...
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