Abstract
In this paper, we obtained a unique common coupled fixed point theorem using Caristi type contraction in modular metric spaces. Also furnished an example to support our main results.
Highlights
Fixed point theory is one of the very popular tools in various fields
The notion of modular space was introduced by Nakano and was intensively developed by Koshi, Shimogaki, Yamamuru [16] and others
A lot of mathematicians are interested in fixed point of modular space
Summary
Fixed point theory is one of the very popular tools in various fields. Since Banach introduced this theory in 1922 [1], it has been extended and generalized by several authors. Caristi type fixed point theorem is one of these generalizations. A lot of mathematicians are interested in fixed point of modular space. [4] Let be a nonempty set, a function is said to be a metric modular on if it satisfying, for all the following conditions holds (i) for all (ii) for all (iii) [7] Let be a complete modular metric space and T a contraction on .
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 call
