Abstract
The aim of this paper is to prove the existence and uniqueness of a common fixed point for a pair of mappings satisfying certain rational contraction conditions in complex valued b-metric space. The obtained results generalize and extend some of the well-known results in the literature.
Highlights
Banach contraction principle in [1] gives appropriate and simple conditions to establish the existence and uniqueness of a solution of an operator equation Tx = x
A number of papers were devoted to the improvement and generalization of that result. Most of these results deal with the generalizations of the different contractive conditions in metric spaces
There have been a number of generalizations of metric spaces such as vector valued metric spaces, Gmetric spaces, pseudometric spaces, fuzzy metric spaces, D-metric spaces, cone metric spaces, and modular metric spaces
Summary
Many authors obtained fixed point results for single valued and multivalued operators in b-metric spaces. Several authors studied many common fixed point theorems on complex valued metric spaces (see [5,6,7,8,9]).
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
