On the Rall Contration Mapping Principle of the Fixed Point Theory with Application to Some Integral

The contraction map, which is at the heart of fixed point theory, has been widely explored as a map in a full metric space that leads to iterations of consecutive approximations. The Banach and Rall contraction mapping ideas are specifically explored in this paper. The convergence of the fundamental fixed point iteration was also investigated using these two theorems. Finally, the theory of Integral Equations and Non-linear Integral Equations of Radioactive Transfer were used to apply the aforementioned contraction mapping concept.

Please see the link :- https://globalpresshub.com/index.php/AJPAM/article/view/1418