Applications of Fixed Point Theorems in Complex valued Banach Space
Abstract
We have developed the iterative process to solve Volterra Fredholm Integral equation of mixed type which converges faster than other methods. The concept of complex valued metric space extended towards the Banach space and explored the concept of Complex valued Banach Space. To solve integral equations of mixed type, Jungck has given the iterative process which then modified by many researchers and established Jungck - CR iterative process, Jungck - Mann iterative process, Jungck - Ishikawa iterative process, Jungck - Olatinwo iterative process etc. All these methods give different rate of convergence towards the solution.