The compatibility of the tangency relations of sets in generalized metric spaces

Abstract

In this paper the problem of the compatibility of the tangency relations $T_{l_i}(a_i,b_i,k,p)$ ($i=1,2$) of sets of the classes $\tilde M_{p,k}$ and $A^*_{p,k}$ in a generalized metric space is considered. Some sufficient conditions for the compatibility of these relations of sets of the above classes are given here.