The aim of this paper is to prove a Calabi theorem for metrized line bundles over non-archimedean analytic spaces, and apply it to endomorphisms with the same polarization and the same set of preperiodic points over a complex projective variety. The proof uses Arakelov theory on Berkovich’s non-archimedean analytic spaces even though the results on dynamical systems can be purely stated over co...

In this paper, we prove some stability results concerning the generalized quadratic and quartic type functional equation in the context of nonArchimedean fuzzy normed spaces in the spirit of Hyers-Ulam-Rassias. As applications, we establish some results of approximately generalized quadratic and quartic type mapping in non-Archimedean normed spaces. Also, we show that the assumption of the non-...

In this article, we introduce a class of the generalized mixed additive, quadratic and quartic functional equations and obtain their common solutions. We also investigate the stability of such modified functional equations in the non-Archimedean normed spaces by a fixed point method.

Given a reductive group over complete non-Archimedean field, it is well known that techniques from analytic geometry provide an embedding of the corresponding Bruhat–Tits building into space associated with group; by composing maps to suitable proper spaces, this eventually leads various compactifications building. In present paper, we give intrinsic characterization embedding.

A non-Archimedean analog of the classical Big Picard Theorem, which says that a holomorphic map from the punctured disc to a Riemann surface of hyperbolic type extends accross the puncture, is proven using Berkovich’s theory of non-Archimedean analytic spaces.

Very recently, Proinov introduced a great family of contractions in the setting complete metric spaces that has attracted attention many researchers because very weak conditions are assumed on involved functions. Inspired by Proinov’s results, this paper, we introduce new class fuzzy (in sense George and Veeramani) able to translate framework best advantages abovementioned auxiliary Accordingly...

It is shown that the category of non-Archimedean metric spaces with l-Lipschitz maps can be embedded as a coreflectlve non-bireflective subcategory in the category of fuzzy uniform spaces. Consequential characterizations of topological and unif’orm properties are derived.