Approximation of common fixed points for finite families of nonself asymptotically nonexpansive mappings in Banach spaces
نویسندگان
چکیده
منابع مشابه
A new approximation method for common fixed points of a finite family of nonexpansive non-self mappings in Banach spaces
In this paper, we introduce a new iterative scheme to approximate a common fixed point for a finite family of nonexpansive non-self mappings. Strong convergence theorems of the proposed iteration in Banach spaces.
متن کاملOn fixed points of fundamentally nonexpansive mappings in Banach spaces
We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset of a Banach space and next show that if the Banach space is having the Opial condition, then the fixed points set of such a mapping with the convex range is nonempty. In particular, we establish that if the Banach space is uniformly convex, and the range of such a mapping is bounded, closed and con...
متن کامل4-Convergence for Common Fixed Points of Two Asymptotically Nonexpansive Nonself Mappings in Hyperbolic Spaces
The purpose of paper is to study an explicit improved Kuhfitting iterative scheme for common fixed points of two asymptotically nonexpansive nonself mappings in hyperbolic spaces. Under a limit condition, we obtained a 4-convergence theorem. Mathematics Subject Classification: 47H09, 47H10
متن کاملExplicit 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 کاملStrong and Weak Convergence Theorems for Common Fixed Points of Two Nonself Asymptotically Nonexpansive Mappings in Banach Spaces
Suppose that K is a nonempty closed convex subset of a uniformly convex and smooth Banach space E with P as a sunny nonexpansive retraction. Let T1, T2 : K → E be two weakly inward nonself asymptotically nonexpansive mappings with respect to P with two sequences {k n } ⊂ [1,∞) satisfying ∞n=1(k(i) n − 1) < ∞ (i = 1, 2) and F (T1) ∩ F (T2) = {x ∈ K : T1x = T2x = x} = ∅, respectively. For any giv...
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: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.03.045