NEW FIXED POINT THEOREMS IN METRIC TYPE SPACES

Abstract

It is well known that the classical Banach fixed point principle plays an important role in applied mathematics. For instance, it is used to determine existence and uniqueness of solutions of differential and integral equations. In 1993 another axiom for semimetric spaces, which is weaker then the striangle inequality, was put forth by Czerwik [6] with a view of generalizing the Banach contraction mapping theorem.