[PDF] Top 20 Nonexpansive mappings on complex C*-algebras and their fixed points

... the fixed point property, if for each nonexpansive mapping T : E −→ E on a nonempty bounded closed convex subset E of X has a fixed ...(ii) C 0 (X) is infinite dimensional, (iii) C 0 ... See full document

... let C be a closed convex subset of E. Let S, T be nonexpansive mappings of C into itself such that the set F ( S ) ∩ F ( T ) of common fixed points of S and T is ...∈ C ... See full document

... multivalued nonexpansive mappings is harder than the corresponding theory of single valued nonexpansive ...the fixed points of multivalued nonexpansive ... See full document

... nonexpansive mappings include properly the class of nonexpansive mappings in locally convex spaces, prove a theorem on the existence of fixed points, and the convergence of the sequence [r] ... See full document

... We introduce a new class of asymptotically nonexpansive mappings and study approxi- mating methods for finding their fixed points. We deal with the Krasnosel’skii-Mann-type iterative process. ... See full document

... a nonexpansive mapping T which maps a closed bounded convex subset C of a uniformly convex Banach space into itself has a fixed point in ...with nonexpansive and quasi-nonexpansive ... See full document

... generalized nonexpansive mappings characterized by the inequalities ...for fixed points and are different from the class of Ciric’s mappings characterized by the inequalities ...of ... See full document

... Within the past 20 years or so, a few researchers have applied the Mann iteration method and the Ishikawa iteration method to approximate fixed points of nonexpansive mappings in several ... See full document

... to fixed points are also proved by many authors; see [1, 7, 8, 9, 10, 13, 15, 18, 23, 30] and ...two nonexpansive mappings without the assumption of the strict convexity of the Banach ... See full document

... fixed points of nonexpansive, asymptotically nonexpansive mappings, total asymptotically non- expansive mapping and nearly asymptotically nonexpansive self maps in the course of ... See full document

... A fixed point theorem for two quasi-nonexpansive mappings is proved and is then extended for a finite family of mappings It is shown that results of this paper reduces to those of Ishika[r] ... See full document

... spaces, 2 ≤ p < ∞ under conditions C1, C2, and C5 or C6 as in the result of Xu and Kim. It is our purpose in this paper to modify the schemes 1.8 and 1.9 and prove strong convergence theorems for the unique solution ... See full document

... and C a nonempty closed convex subset of X. Suppose that T : C → C is a nonexpansive mapping, FT / ∅ and f : C → C is a weakly contractive ... See full document

... metric fixed point theory of multivalued mappings has been rapidly ...classical fixed point theorems for singlevalued nonexpansive mappings have been extended to multivalued ... See full document

... let C be a nonempty closed convex subset of E. Then a mapping T of C into itself is called nonexpansive if T x − T y ≤ x − y for all x,y ∈ ...of C into itself is called λ-firmly ... See full document

... Recently, a problem of finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a relatively nonexpansive mapping is studied by Takahashi and ... See full document

... for all p, q, x, y in X, and α ∈ [, ], then X is said to be a hyperbolic metric space (see []). Obviously, normed linear spaces are hyperbolic spaces. As nonlinear examples, one can consider Hadamard manifolds [], ... See full document

... the fixed point sets of a family of nonexpansive maps is one that occurs frequently in various areas of mathematical sci- ences and ...the fixed point sets of a family of nonexpan- sive ... See full document

... The purpose of this paper is to prove that our process (.) converges faster than all of the Picard, the Mann, the Ishikawa, the Noor, the Agarwal et al., and the Abbas et al. iteration processes for contractions in the ... See full document

... a fixed point theorem for the self mappings of a closed convex and bounded subset of the Banach space satisfying a generalized nonexpansive type ...of fixed points with Krasnoselskii ... See full document