[PDF] Top 20 Approximating fixed points for generalized nonexpansive mapping in CAT(0) spaces

... for approximating fixed points of nonexpansive single-valued mappings have been investigated by various authors using the Mann as well as Ishikawa iteration ...fixed points for various classes ... See full document

... of fixed point theorems under a generalized contraction condition with a different method which in turn generalize fixed point theorems of Bose and Mukherjee [2] as the special ... See full document

... α-nonexpansive mapping T of a nonempty bounded, closed and convex subset C of a uniformly convex Banach space E has been recently established by Aoyama and Kohsaka [] with a non-constructive ... See full document

... If T satisfies Condition-A, where F is the nonempty fixed point set of T in C, then, for an arbitrary x0 C, the Picard iterates {S"x0} converge to a member of F.. We may note that C need[r] ... See full document

... the fixed point property for nonexpansive map- pings provided every nonexpansive self-mapping of every nonempty, closed, convex, bounded subset K of E has a fixed ...The fixed ... See full document

... a CAT(0) space [3], if all geodesic tri- angles of appropriate size satisfy the following comparison ...the CAT(0) inequality if for all x, y Î Δ and all comparison points x, ¯ ¯ y ∈ ¯ ... See full document

... Banach spaces of Shahzad 23 and also extends a result of Dhompongsa and Panyanak 22 to the case of nonself ...≤ 0 since any CATκ space is a CATκ space for every κ ≥ κ see 1, page ... See full document

... two points of X are joined by a geodesic, and X is said to be uniquely geodesic if there is exactly one geodesic joining x and y for each x, y ∈ ...three points x  , x  , x ... See full document

... a mapping from a closed interval [, l] ⊂ R to X such that () = x, (l) = y and d((t), (t )) = | t – t | for all t, t ∈ [, ...two points of X are joined by a geodesic segment, and X is said to be uniquely ... See full document

... fixed points for multivalued nonexpansive mappings in uniformly convex Banach spaces was proved by Lim ...multivalued nonexpansive mappings is harder than the corresponding theory 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 classes of ... See full document

... the generalized versions of the conditions of Senter and Dotson [6] as: the mapping T with F(t) = ∅ is said to satisfy the following ...= 0 and f (r ) > 0 for all r ∈ (0,∞) such ... See full document

... a mapping from C into itself, and let F(T) be the set of all fixed points of ...asymptotic fixed point of T (see Reich [23]) if there exists a sequence { z n } in C converging weakly to z and ... See full document

... The mapping T is called nonexpansive if Tx − T y ≤ x − y for all x, y ∈ K; and is called quasi-nonexpansive if F (T ) = ∅ and Tx − x ∗ ≤ x − x ∗ for all x ∈ K and x ∗ ∈ F(T ...a nonexpansive ... See full document

... for approximating fixed points of nonexpansive mappings in Banach spaces have been studied by various authors using the Mann iteration processes or the Ishikawa ietration ...of ... See full document

... c(t 0 )) = |t − t 0 | for all t ,t 0 ∈ [0, ...two points of X are joined by a geodesic and (ii) uniquely geodesic if there is exactly one geodesic joining x and y for each x, y ∈ X, ... See full document

... asymptotically nonexpansive mappings in CAT(0) spaces is proposed and the existence of a sequence generated by our iterative process converging to a minimizer of a convex function and a common ... See full document

... a CAT() space. Other examples include pre-Hilbert spaces [], R-trees [], the complex Hilbert ball with a hyperbolic metric [], and many ...are points in a CAT() space and if m[x, y] is ... See full document

... and generalized projection operators in Banach spaces: properties and applications, Theory and Applications of Nonlinear Operators of Accretive and Monotone Type ...of fixed point theory in Hilbert ... See full document

... We prove the proposed sequences converge to a common fixed point of three families of mappings. Our result for the iteration process (.) is similar to (.) on complete CAT() spaces. Our results for the ... See full document