In this paper a general fixed point theorem for two pairs of mappings satisfying a new type of common range property without limit of sequences in metric spaces are proved.

The purpose of this paper is to prove some general fixed point theorems for two pairs of mappings satisfying implicit relations of generalized Gregus type in quasi-metric spaces without the notion of sequence and inequality. As applications we obtain new results for mappings satisfying contractive / extensive conditions of integral type and in G-metric spaces.