Convergence of Ishikawa iterates of generalized nonexpansive mappings
نویسندگان
چکیده
منابع مشابه
Convergence of Picard Iterates of Nonexpansive Mappings
Let X be a Banach space, C a closed subset of X , and T : C -+ C a nonexpansive mapping. Conditions are given which assure that if the fixed point set F ( T ) of T has nonempty interior then the Picard iterates of the mapping T always converge to a point of F ( T ) . If T is asymptotically regular, it suffices to assume that the closed subsets of X are densely proximinal and that nested spheres...
متن کاملConvergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
In this paper, we prove that an implicit iterative process with er-rors converges strongly to a common xed point for a nite family of generalizedasymptotically quasi-nonexpansive mappings on unbounded sets in a uniformlyconvex Banach space. Our results unify, improve and generalize the correspond-ing results of Ud-din and Khan [4], Sun [21], Wittman [23], Xu and Ori [26] andmany others.
متن کاملWeak Convergence of Ishikawa Iterates for Nonexpansive Maps
We establish weak convergence of the Ishikawa iterates of nonexpansive maps under a variety of new control conditions and without employing any of the properties: (i) Opial’s property (ii) Fréchet differentiable norm (iii) Kadec-Klee property.
متن کاملConvergence of Iterates of Typical Nonexpansive Mappings in Banach Spaces
Let K be a bounded, closed and convex subset of a Banach space X. We show that the iterates of a typical element (in the sense of Baire category) of a class of nonexpansive mappings which take K to X converge uniformly on K to the unique fixed point of this typical element.
متن کاملConvergence of Iterates of Uniformly L-lipschitzian and Generalized Asymptotically Nonexpansive Mappings in Cat(0) Spaces
We study strong and ∆-convergence of a modified S-type iteration process inspired by Agarwal, O’Regal and Sahu (2007) for uniformly L-Lipschitzian and generalized asymptotically nonexpansive mappings in CAT(0) spaces.
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: International Journal of Mathematics and Mathematical Sciences
سال: 1997
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171297000707