Add to ORKGAbstract. In this paper, Aleksandrov problem of conservative distances is solved for positively homogeneous map. Also it is shown that when an affine map can be an isometry. Mathematics Subject Classification: 51K05, 39B8
This paper is devoted to the study of isometrically homogeneous spaces from the view point of metric...
AbstractLet X and Y be non-Archimedean normed spaces over a linear ordered non-Archimedean field K w...
We show that isometries between open sets of Carnot groups are affine. This result generalizes a res...
Abstract. Let X and Y be normed linear spaces. A mapping T: X → Y is called preserving the distance ...
AbstractWe introduce the concept of 2-isometry which is suitable to represent the notion of area pre...
AbstractSome relations between isometry and linearity are examined. In particular, generalizations o...
Abstract. This paper generalizes the Aleksandrov problem and Mazur Ulam theorem to the case of n-nor...
This paper generalizes T. M. Rassias' results in 1993 to n-normed spaces. If X and Y are two real n-...
We prove that if a one-to-one mapping f : (n ≥ 2) preserves the unit n - 1 spheres (Sn -1), then f i...
Abstract. Some properties of isometric mappings as well as approximate isometries are studied. 2000 ...
This paper contains an exposition of two theorems on Banach spaces. Let X and Y be real Banach space...
AbstractLet X and Y be two real Hilbert spaces with the dimension of X greater than 1. Several cases...
AbstractWe study the stability problem for mappings satisfying the equation ‖f(x−y)‖=‖f(x)−f(y)‖. As...
AbstractWe consider 2-isometries, weak 2-isometries and 2-continuous mappings and investigate the re...
AbstractWe study the notion of 2-isometry which is suitable to represent the concept of area preserv...
This paper is devoted to the study of isometrically homogeneous spaces from the view point of metric...
AbstractLet X and Y be non-Archimedean normed spaces over a linear ordered non-Archimedean field K w...
We show that isometries between open sets of Carnot groups are affine. This result generalizes a res...
Abstract. Let X and Y be normed linear spaces. A mapping T: X → Y is called preserving the distance ...
AbstractWe introduce the concept of 2-isometry which is suitable to represent the notion of area pre...
AbstractSome relations between isometry and linearity are examined. In particular, generalizations o...
Abstract. This paper generalizes the Aleksandrov problem and Mazur Ulam theorem to the case of n-nor...
This paper generalizes T. M. Rassias' results in 1993 to n-normed spaces. If X and Y are two real n-...
We prove that if a one-to-one mapping f : (n ≥ 2) preserves the unit n - 1 spheres (Sn -1), then f i...
Abstract. Some properties of isometric mappings as well as approximate isometries are studied. 2000 ...
This paper contains an exposition of two theorems on Banach spaces. Let X and Y be real Banach space...
AbstractLet X and Y be two real Hilbert spaces with the dimension of X greater than 1. Several cases...
AbstractWe study the stability problem for mappings satisfying the equation ‖f(x−y)‖=‖f(x)−f(y)‖. As...
AbstractWe consider 2-isometries, weak 2-isometries and 2-continuous mappings and investigate the re...
AbstractWe study the notion of 2-isometry which is suitable to represent the concept of area preserv...
This paper is devoted to the study of isometrically homogeneous spaces from the view point of metric...
AbstractLet X and Y be non-Archimedean normed spaces over a linear ordered non-Archimedean field K w...
We show that isometries between open sets of Carnot groups are affine. This result generalizes a res...