Convergence Analysis Of An Implicit Iteration Process For (?)-Strictly Pseudocontractive Mappings

In this paper, we discuss the convergence problems of an implicit iteration process for finite family of φ—strictly pseudocontractive mappings in arbitrary Banach space. Using the property of φ and self iteration process, some results are obtained, which are the implicit iteration process with errors and without errors converges to a common fixed points. Theorem 2.1 and theorem 2.3 are the iteration process without errors. Theorem 2.4 and theorem 2.5 are the implicit iteration process with errors r_nu_n. Theorem 2.6 is the implicit iteration processwith errors u_n. The results obtained in this paper represent an extension as well asimprovement of well-known results. Hence the theory and methods of an implicit iteration are enriched and developed.