Convergence of CUIA iteration in complex valued Banach space.

The theory of convergence of fixed point iteration has been developed a lot over the past years due to its immense significance in real life applications. The evolution of iterative processes has reached from one-step process to recently defined four-step process. Also, the metric spaces have been generalized to Banach spaces but not much work is done in complex valued Banach space. The objective of this paper is to establish a convergence result of a newly defined CUIA iterative process in the framework of complex valued Banach space under contraction mappings. The current work will enhance the already existing literature of complex valued Banach space. The results are supported with suitable example. [ABSTRACT FROM AUTHOR]