Generalizations of an asymptotic stability theorem of Bahyrycz, Páles and Piszczek on Cauchy differences to generalized cocycles

Abstract

We prove some straightforward analogues and generalizations of a recent asymptotic stability theorem of A. Bahyrrycz, Zs. Páles and M. Piszczek on Cauchy differences to semi-cocycles and speudo-cocycles introduced in a former paper by the present author.