Some Iterative Approximation Results of F Iteration Process in Banach Spaces.

In this research, we suggest some convergence results for operators having (R C S C) condition in Banach space setting under F iterative scheme. We establish weak convergence under Opials condition and also establish some important strong convergence results under some appropriate assumptions on the domain or on the mapping. We furnish a non-trivial example of mappings having (R C S C) condition and show that its F iterative scheme is more effective than the corresponding well known iterative schemes on this particular example. [ABSTRACT FROM AUTHOR]