Convergence theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings
نویسندگان
چکیده
منابع مشابه
Convergence theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings ✩
In this paper, a necessary and sufficient conditions for the strong convergence to a common fixed point of a finite family of continuous pseudocontractive mappings are proved in an arbitrary real Banach space using an implicit iteration scheme recently introduced by Xu and Ori [H.K. Xu, R.G. Ori, An implicit iteration process for nonexpansive mappings, Numer. Fuct. Anal. Optim. 22 (2001) 767–77...
متن کاملConvergence theorems of an implicit iteration process for asymptotically pseudocontractive mappings
The purpose of this paper is to study the strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of asymptotically pseudocontractive mappings and nonexpansive mappings in normed linear spaces. The results in this paper improve and extend the corresponding results of Xu and Ori, Zhou and Chang, Sun, Yang and Yu in some aspects.
متن کاملconvergence theorems of an implicit iteration process for asymptotically pseudocontractive mappings
the purpose of this paper is to study the strong convergence of an implicit iteration process with errors to a common fixed point for a finite family of asymptotically pseudocontractive mappings and nonexpansive mappings in normed linear spaces. the results in this paper improve and extend the corresponding results of xu and ori, zhou and chang, sun, yang and yu in some aspects.
متن کاملImplicit iteration approximation for a finite family of asymptotically quasi-pseudocontractive type mappings
In this paper, strong convergence theorems of Ishikawa type implicit iteration process with errors for a finite family of asymptotically nonexpansive in the intermediate sense and asymptotically quasi-pseudocontractive type mappings in normed linear spaces are established by using a new analytical method, which essentially improve and extend some recent results obtained by Yang ...
متن کاملStrong Convergence of an Implicit Iteration Algorithm for a Finite Family of Pseudocontractive Mappings
where E∗ denotes the dual space of E and 〈·, ·〉 denotes the generalized duality pairing. If E∗ is strictly convex, then J is single valued. In the sequel, we will denote the single-value duality mapping by j. Let C be a nonempty closed convex subset of E. Recall that a self-mapping f : C → C is said to be a contraction if there exists a constant δ ∈ 0, 1 such that ∥f x − f y ∥∥ ≤ δ‖x − y‖, ∀x, ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2006
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2005.04.018