Abstract
In this paper, we define F-contractive type mappings in b-metric spaces and prove some fixed point results with suitable examples. F-expanding type mappings are also defined and a fixed point result is obtained.
Highlights
1 Introduction In 1922, Banach [7] proved a fixed point theorem for metric spaces, which later on came to be known as the famous “Banach contraction principle”
Since generalizations of the contraction principle in different directions as well as many new fixed point results with applications have been established by different researchers
We present some results on fixed point theory in b-metric spaces considering a new type of mapping which is a combination of F-contraction by Wardowski [46] as well as Kannan contraction [27] mappings
Summary
In 1922, Banach [7] proved a fixed point theorem for metric spaces, which later on came to be known as the famous “Banach contraction principle”. Theorem 1.1 ([27]) Let (X, d) be a complete metric space and T : X −→ X be a mapping such that d(Tx, Ty) ≤ p d(x, Tx) + d(y, Ty) for all x, y has a unique fixed point z We try to develop a fixed point existence results for such type of expanding mappings on b-metric spaces.
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
