Improved Multi-step Iterative Algorithms for the Fixed Points of Strongly Pseudo-Contractive Mappings.

In Banach Spaces, we introduce a new improved multi-step iterative algorithm for the fixed points of strongly pseudo-contractive mappings, by proving the convergence for modified Mann iterative sequence, and that the multi-step iterative sequence and Mann iterative scheme are equivalent. We prove the convergence of iterative sequences generalized by the improved multi-step iterative algorithms. The results extend and improve the corresponding related results.