Weak Convergence Theorem of Khan Iterative Scheme for Nonself I - Nonexpansive Mapping Poonam
نویسندگان
چکیده
In this paper, we prove the weak convergence of a modified Khan iteration for nonself I nonexpansive mapping in a Banach space which satisfies Opial’s condition. Our result extends and improves these announced by S. Chornphrom and S.Phonin [Weak Converges Theorem of Noor iterative Scheme for Nonself I-Nonexpansive mapping, Thai Journal of Mathematics Volume 7(2009) no.2:311-317].
منابع مشابه
On the convergence of three-step random iterative procesess with errors of nonself asymptotically nonexpansive random mappings
begin{abstract} In this paper, we prove some strong and weak convergence of three step random iterative scheme with errors to common random fixed points of three asymptotically nonexpansive nonself random mappings in a real uniformly convex separable Banach space. end{abstract}
متن کاملWeak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonself-mappings
In this paper, we introduce and study a new iterative scheme toapproximate a common xed point for a nite family of generalized asymptoticallyquasi-nonexpansive nonself-mappings in Banach spaces. Several strong and weakconvergence theorems of the proposed iteration are established. The main resultsobtained in this paper generalize and rene some known results in the currentliterature.
متن کاملConvergence results: A new type iteration scheme for two asymptotically nonexpansive mappings in uniformly convex Banach spaces
In this article, we introduce a new type iterative scheme for approximating common fixed points of two asymptotically nonexpansive mappings is defined, and weak and strong convergence theorem are proved for the new iterative scheme in a uniformly convex Banach space. The results obtained in this article represent an extension as well as refinement of previous known resu...
متن کاملCommon Fixed Points of Two Nonself Asymptotically Nonexpansive Mapping by a Simpler Iterative Process
In this paper, we use a new one-step iterative process to approximate the common fixed points of two nonself asymptotically nonexpansive mappings through some weak and strong convergence theorems.
متن کاملWeak and Strong Convergence of Finite Family with Errors of Nonexpansive Nonself-mappings
Let K be a subset of a real normed linear space E and let T be a self-mapping on K . T is said to be nonexpansive provided ‖Tx−Ty‖ ‖x− y‖ for all x, y ∈ K . Fixed-point iteration process for nonexpansive mappings in Banach spaces including Mann and Ishikawa iteration processes has been studied extensively by many authors to solve the nonlinear operator equations in Hilbert spaces and Banach spa...
متن کامل