Metrization of probabilistic metric spaces. Applications to fixed point theory and Arzela-Ascoli type theorem

Suppose that G is a finitely generated semi- group such that every action by Lipschitz transformations (resp.. First it must be checked that the action is well-defined. The first one

The solution of the geodesic equation (Theorem 4.1) gives a precise sense to how geodesics in ( M , g N ) generalize those discovered by Calabi [4,5] for the subspace of Kähler

This lower bound—therefore, the sub-multiplicative inequality—with the following facts: a combinational modulus is bounded by the analytical moduli on tangent spaces of X, and b

From proposition 3.3 it is easy to conclude that any product (finite or infinite) of biquotient compact maps is a biquotient

Let X be the normed vector space of all real null sequences with metric d induced by the usual

Thus, many of the fixed point results in cone metric spaces for maps satisfying contractive linear conditions can be considered as the corollaries of corresponding theorems in

We define “tangent” spaces at a point of a metric space as a certain quotient space of the sequences which converge to this point and after that introduce the “derivatives”

This lower bound —therefore, the sub-multiplicative inequality— with the following facts: (a) combinational modulus is bounded by the analytical moduli on tangent spaces of X, and