Abstract

In this paper we establish some common fixed point theorems for contraction and 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, the set of all natural number and R⁺, the set of all positive real numbers.

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