On the Mazur–Ulam theorem in fuzzy n–normed strictly convex spaces
نویسندگان
چکیده
In this paper, we generalize the Mazur–Ulam theorem in the fuzzy real n-normed strictly convex spaces. Mathematics Subject Classification. Primary 46S40; Secondary 39B52, 39B82, 26E50, 46S50.
منابع مشابه
On the Mazur–Ulam theorem in fuzzy normed spaces
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.
متن کاملOn the Mazur-Ulam problem in fuzzy anti-normed spaces
The aim of this article is to proved a Mazur-Ulam type theorem in the strictly convex fuzzy anti-normed spaces.
متن کاملA 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...
متن کاملar X iv : 0 71 0 . 01 07 v 1 [ m at h . FA ] 3 0 Se p 20 07 A MAZUR – ULAM THEOREM IN NON - ARCHIMEDEAN NORMED SPACES
The classical Mazur–Ulam theorem which states that every sur-jective isometry between real normed spaces is affine is not valid for non-Archimedean normed spaces. In this paper, we establish a Mazur–Ulam theorem in the non-Archimedean strictly convex normed spaces.
متن کاملCharacterizations on the Mazur-Ulam theorem in non-Archimedean fuzzy n-normed spaces
We investigate a notion of non-Archimedean fuzzy anti-n-normed spaces and prove the Mazur-Ulam theorem in the spaces. AMS subject classification: primary 46S10; secondary 47S10; 26E30; 12J25.
متن کامل