On Equicontinuous Families of Mappings Without Values in Variable Sets

Abstract

The present paper is devoted to the study of the classes of mappings with unbounded characteristics of quasiconformality. We prove sufficient conditions for the equicontinuity of the families of these mappings that do not take values from a set E provided that a real-valued characteristic c(E) of these mappings has a lower bound of the form c(E) ≥ \( \delta \) , \( \delta \) \( \epsilon \) ℝ.