Common Fixed Points of a Finite Family of Nonself Generalized Asymptotically Quasi-Nonexpansive Mappings
نویسندگان
چکیده
منابع مشابه
Explicit iteration method for common fixed points of a finite family of nonself asymptotically nonexpansive mappings
Suppose that K is a nonempty closed convex subset of a real uniformly convex Banach space E , which is also a nonexpansive retract of E with nonexpansive retraction P . Let {Ti : i ∈ I } be N nonself asymptotically nonexpansive mappings from K to E such that F = {x ∈ K : Ti x = x, i ∈ I } 6= φ, where I = {1, 2, . . . , N }. From arbitrary x0 ∈ K , {xn} is defined by xn = P((1− αn)xn−1 + αnTn(PT...
متن کاملCommon Fixed Points of Multistep Noor Iterations with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings
and Applied Analysis 3 where {an}, {bn}, {αn} are appropriate sequences in 0, 1 . The theory of three-step iterative scheme is very rich, and this scheme, in the context of one or more mappings, has been extensively studied e.g., see Khan et al. 6 , Plubtieng and Wangkeeree 7 , Fukhar-ud-din and Khan 5 , Petrot 13 , and Suantai 14 . It has been shown in 15 that three-step method performs better...
متن کاملCommon fixed points of a finite family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces
In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a finite family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems of the propose iterative scheme under some appropriate conditions.
متن کاملMulti - step iterations with errors for common fixed points of a finite family of nonself asymptotically nonexpansive mappings ∗
In this paper we established strong and weak convergence theorems for a multi-step iterative scheme with errors for nonself asymptotically nonexpansive mappings in the real uniformly convex Banach space. Our results extend and improve the ones announced by Lin Wang [Lin Wang, Strong and weak convergence theorems for common fixed points of nonself asymptotically nonexpansive mappings, J. Math. A...
متن کاملConvergence Theorems for Common Fixed Point of a Finite Family of Nonself Ii-Asymptotically Quasi-Nonexpansive Mappings
In this paper, we consider the weak and strong convergence of implicit iteration process to a common fixed point of a finite family of nonself Ii-asymptotically quasi-nonexpansive mappings. Our results of this paper improve and extend the corresponding results of Shazad [8], Temir [5] and Gul [J. Math. Anal. Appl. 329(2007), 759-765]. Mathematics Subject Classification: 47H09, 47J25
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: Taiwanese Journal of Mathematics
سال: 2011
ISSN: 1027-5487
DOI: 10.11650/twjm/1500406233