Abstract
In this paper, we introduce the notion of generalized G-β-ψ contractive mappings which is inspired by the concept of α-ψ contractive mappings. We showed the existence and uniqueness of a fixed point for such mappings in the setting of complete G-metric spaces. The main results of this paper extend, generalize and improve some well-known results on the topic in the literature. We state some examples to illustrate our results. We consider also some applications to show the validity of our results.
Highlights
Introduction and preliminariesIn nonlinear functional analysis, the importance of fixed point theory has been increasing rapidly as an interesting research field
One of the most important reasons for this development is the potential of application of fixed point theory in various branches of applied and pure mathematics, and in many other disciplines such as chemistry, biology, physics, economics, computer science, engineering etc
We emphasize the crucial role of celebrated results of Banach [ ], known as a Banach contraction mapping principle or a Banach fixed point theorem, in the growth of this theory
Summary
Introduction and preliminariesIn nonlinear functional analysis, the importance of fixed point theory has been increasing rapidly as an interesting research field.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
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 call
