Abstract
Abdeljawad (Fixed Point Theory Appl., 2013:19) introduced the concept of alpha-admissible for a pair of mappings. More recently Salimi et al. [Fixed Point Theory Appl., 2013:151] modified the notion of alpha-psi-contractive mappings. In this paper we introduce the concept of an alpha-admissible map with respect to eta and modify the alpha-psi-contractive condition for a pair of mappings and establish common fixed point results for two, three, and four mappings in a closed ball in complete dislocated metric spaces. As an application, we derive some new common fixed point theorems for psi-graphic contractions defined on dislocated metric space endowed with a graph as well as preordered dislocated metric space. Some comparative examples are constructed which illustrate the superiority of our results to the existing ones in the literature.