The study of fixed points of mappings satisfying certain contractive conditions has been at the center of rigorous research activity, see 1–3 . The notion ofD-metric space is a generalization of usual metric spaces and it is introduced by Dhage 4–7 . Recently, Mustafa and Sims 8, 9 have shown that most of the results concerning Dhage’sD-metric spaces are invalid. In 8, 9 , they introduced an im...

Following a recent paper of Zand and Nezhad [A generalization of partial metric spaces, Journal of Contemporary Applied Mathematics. 24 (2011) 86–93], we establish some fixed point results in GP -metric spaces. The presented theorems generalize and improve several existing results in the literature. Also, some examples are presented.

In this paper, we extend and improve the condition of contraction of results of Azam et al. for two single-valued mappings on a closed ball in complex valued metric spaces.