Abstract
Abdeljawad (Fixed Point Theory Appl., 2013:19) introduced the concept of α-admissible for a pair of mappings. More recently Salimi et al. [Fixed Point Theory Appl., 2013:151] modified the notion of α-ψ-contractive mappings. In this paper we introduce the concept of an α-admissible map with respect to η and modify the α-ψ-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 ψ-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.
Highlights
1 Introduction and preliminaries Fixed point results of mappings satisfying certain contractive condition on the entire domain has been at the center of rigorous research activities, for example, see [ – ]
Arshad et al [ ] proved a result concerning the existence of fixed points of a mapping satisfying a contractive condition on closed ball in a complete dislocated metric space
In this paper we discuss common fixed point results for α-ψ -contractive type mappings in a closed ball in complete dislocated metric space
Summary
Introduction and preliminariesFixed point results of mappings satisfying certain contractive condition on the entire domain has been at the center of rigorous research activities, for example, see [ – ]. The existence of fixed points of α-ψ -contractive and α-admissible mappings in complete metric spaces has been studied by several researchers (see [ – ] and references therein).
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