Abstract

In this paper we establish some common fixed point theorems for contraction and some generalized contraction mappings in D* - metric space which is introduced by Shaban et al. (2007). In what follows, (X, D*) will denote D* - metric space, N is the set of all natural number and R⁺ is the set of all positive real number.

Key words: D*- metric, contraction mapping, complete D*- metric space, common fixed point theorem.