Common fixed point theorem in quasi-uniformizable spaces

Abstract

In this paper a common fixed point theorem in sequentially complete Hausdorff quasi-uniformizable spaces is proved. Using the additional condition for the quasi-metric dλ the condition (2) of Theorem 3.92 in the paper [4] is improved. Since Menger space (S; F; T), where sup a<1 T(a; a) = 1 is a quasi-uniformizable space a corollaries on common fixed points in Menger spaces is obtained.