title: On different results for new three step iteration process in Banach spaces.
abstract: In this paper we propose a new iteration process, called AK iteration process, for approximation of fixed points for contraction mappings. We show that our iteration process is faster than the leading Vatan Two-step iteration process for contraction mappings. Numerical examples are given to support the analytic proofs. Stability of AK iteration process and data dependence result for contraction mappings by employing AK iteration process are also discussed.
authors.affiliation: Department of Mathematics, International Islamic University, Sector H-10, Islamabad, 44000 Pakistan.
authors.forename: Kifayat
authors.initials: K
authors.lastname: Ullah
authors.affiliation: Department of Mathematics, International Islamic University, Sector H-10, Islamabad, 44000 Pakistan.
authors.forename: Muhammad
authors.initials: M
authors.lastname: Arshad
keywords: Banach space; Data dependence; Iteration process; Stability