[PDF] Top 20 On the convergence of fixed points for Lipschitz type mappings in hyperbolic spaces

... strong convergence through the S-iteration process for a class of mappings which is essentially wider than that of asymptotically nonexpansive mappings on a nonlinear domain, uniformly convex ... See full document

... some fixed points properties and demiclosedness principle for a Banach opera- tor in uniformly convex hyperbolic ...a fixed point of a Banach operator and establish some strong and ... See full document

... -hyperbolic spaces with monotone modulus of uniform convexity are a natural generalization of both uniformly convexnormed spaces and CAT(0) ...of fixed points and demiclosed principle ... See full document

... a hyperbolic space X is convex if W (x, y, α ) ∈ X(∀x, y ∈ X ) and α ∈ ...of hyperbolic spaces contains normed spaces and convex subsets thereof, the Hilbert ball equipped with the ... See full document

... Such mappings lie between the class of nonexpansiveness and ...of mappings were called Suzuki-type nonexpansive mappings (or single- valued C-type generalized nonexpansive ... See full document

... on fixed point problems for generalized α -nonexpansive mappings in convex metric ...on fixed point problems for generalized α -nonexpansive mappings from the frame work of Banach ... See full document

... quasi-nonexpansive mappings S, T on a nonempty closed and convex subset of a strictly convex Banach ...weak convergence of (.) to a common fixed point of two nonexpansive mappings in a uniformly ... See full document

... approximate fixed points of nonself ({µ n }, {v n }, ζ )− total asymptotically nonexpan- sive mappings via new iterative scheme and establish strong and ∆−convergence theorems in the setup of ... See full document

... some fixed point results for weak contractivity type mappings on a partially ordered complete metric space, using a mixed monotone ...g-monotone mappings and introduced coupled coincidence and ... See full document

... In order to obtain strong convergence to fixed points of pseudocontractive maps without the compactness type assumptions, many authors (see e.g [21], [22]) have defined what they call hybrid ... See full document

... Lemma 2.12. Let H be a real Hilbert space. Suppose K is a closed, convex, nonempty subset of H. Assume that T : K → CB(K) is Lipschitz pseudocontractive multi-valued mapping. Then, there is a single-valued ... See full document

... The purpose of this paper is to introduce and study the strong convergence problem of the explicit iteration process for a Lipschitzian and demicontraction semigroups in arbitrary Banach spaces. The main ... See full document

... Xu and Yin [11] also proved that if C is a nonempty closed convex subset of a Hilbert space H, if T : C → H is a nonexpansive non-self-mapping satisfying the weak inwardness condition, and { x n } is bounded, then { y n ... See full document

... 2-metric spaces, and many authors discussed and obtained fixed point or common fixed point theorems on 2-metric spaces, see [15-21] and ...Banach fixed point ...(common) fixed ... See full document

... From the convexity and continuity of h, we can get the convexity and continuity of the set K. Since h is continuous and H is a Hilbert space, we see that h attains its infimum over K; see 20 for more details. Then K is ... See full document

... Ishikawa type iterates for nonexpansive and quasi-nonexpansive maps have been extensively studied in uniformly convex Banach spaces 1, ...established convergence of Mann type iterates of ... See full document

... In this paper, motivated and inspired by Chidume and Shahzad 3, Chen et al. 7, Osilike 8, Qin et al. 10, Xu and Ori 17, and Zhou 18, we consider an implicit iteration process with mixed errors for a finite family of ... See full document

... different fixed point theorems with different contractive type mappings on tensor product ...(with fixed point) on the tensor product space , we have constructed some contraction ... See full document

... Abstract: The aim of this paper is to prove some results on strong and △-convergence of S-iterative scheme for SKC mappings in hyperbolic spaces. The results presented here extend and improve ... See full document

... new type of con- traction called F-contraction and prove a new fixed point theorem concerning F-con- ...concrete mappings F, we obtain the contractions of the type known from the literature, ... See full document