The Convergence Of An Implicit Iteration Sequnces For Strictly Asymptotically Pseudocontractive Mappings

In 2001 H. K. Xu and R.G. Ori have introduced an implicit iteration methods for nonlinear operator equations of nonexpansive mapping. Since then scholars studied and obtained some significative results. Recently, M.O.Osilike also studied on implicit iteration process for strictly pseudocontractive mappings of Browder-Petyshyn type, and is obtained partial investigative results. But these results do not include strictly asymptotically pseudocontractive mapping.In this paper we mainly discussed implicit iteration process for strictly asymptotically pseudocontractive mapping of Browder-Petyshyn type and researched their convergence problems.