uniformly convex hyperbolic spaces
Existence and higher arity iteration for total asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
... convex hyperbolic spaces with modulus of uniform convexity η(r, ε) = ε ...of uniformly convex hyperbolic spaces includes CAT() spaces as a special ...of ...
18
Convergence of general algorithm for I generalized asymptotically nonexpansive nonself mappings in uniformly convex hyperbolic spaces
... Inspired and motivated by those facts, we will construct a new type of iterative sequence involving I-generalized asymptotically nonexpansive nonself-mapping in a nonempty closed convex subset of complete ...
15
New iteration process for total asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
... of hyperbolic spaces introduced by Kohlenbach [1] is an important example of a uniquely geodesic spaces ...of hyperbolic spaces in the current literature, for convenience of the reader; ...
13
Convergence analysis of a multi step iteration for a finite family of asymptotically quasi nonexpansive mappings
... This paper is a continuation of the analysis of classical Kuhfittig iteration involving a finite family of asymptotically quasi-nonexpansive mappings in the general setup of uniformly convex hyperbolic ...
10
Some fixed points properties, strong and ∆-convergence results for generalized α-nonexpansive mappings in hyperbolic spaces
... in uniformly convex hyperbolic spaces introduced by Kohlenbach [15], and establish both strong and ∆-convergence theorems for ap- proximating fixed point of this class of mappings using the ...
20
Common fixed point and solution of nonlinear functional equations
... Convergence of a new iterative scheme, containing Mann and Ishikawa iterative schemes, for asymptotically nonexpansive mappings on a 2-uniformly convex hyperbolic space is studied. As application, we ...
11
Existence and convergence of fixed points for mappings of asymptotically nonexpansive type in uniformly convex W-hyperbolic spaces
... of hyperbolic space as introduced by Kohlenbach ...Gromov hyperbolic spaces [14] or from other notions of “hyperbolic space” which can be found in the literature ...
12
Approximating fixed points of α-nonexpansive mappings in uniformly convex Banach spaces and CAT(0) spaces
... product spaces, R -trees (see, for example, []), Euclidean building (see, for example, []), and the complex Hilbert ball with a hyperbolic metric (see, for example, ...other spaces and on the ...
20
Fixed point theorems for N-generalized hybrid mappings in uniformly convex metric spaces
... It is well known that any complete, simply connected Riemannian manifold having non- positive sectional curvature is a CAT() space. Other examples include pre-Hilbert spaces [], R-trees [], the complex Hilbert ...
16
Convergence theorems for common fixed points of a finite family of total asymptotically nonexpansive nonself mappings in hyperbolic spaces
... of uniformly convex hyperbolic ...closed convex subset of a complete uniformly convex hyperbolic space X with monotone modulus of uniform convexity η ...
15
Browder and Göhde fixed point theorem for monotone nonexpansive mappings
... metric spaces endowed with a partial ...a uniformly convex hyperbolic metric space, then any monotone nonexpansive mapping defined on a nonempty bounded convex subset has a fixed ...
9
Iterative process for a strictly pseudo contractive mapping in uniformly convex Banach spaces
... Remark . The mappings defined by (.) and (.) are pseudo-contractive mappings, but the mapping defined by (.) may not be pseudo-contractive in general Banach spaces. Remark . If and only if q = , the ...
5
Convergence theorems for equilibrium problem and asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense
... a uniformly convex and uniformly smooth Banach ...a uniformly convex and uniformly smooth Banach space, let C be a nonempty closed convex subset of E, let T be a ...
17
On uniformly close to convex functions and uniformly quasiconvex functions
... We next prove a theorem which shows that every function in UQC(α) is close to convex and hence univalent. We need a result due to Miller and Mocanu [5]. Lemma 4.4. Let M(z) and N(z) be regular in ∆ with M(z) = ...
6
Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces
... It has been shown that if C is a nonempty bounded closed convex subset of a uni- formly convex Banach space X, then every nonexpansive mapping T : C → C has a fixed point (see [2]). In this paper, we first ...
5
A New Implicit Algorithm of Asymptotically Quasi-nonexpansive Maps in Uniformly Convex Banach Spaces
... Abstract—In this paper, we introduce and study weak and strong convergence of a two-step implicit algorithm for a finite family of asymptotically quasi-nonexpansive maps in a uni- formly convex Banach space. The ...
5
Approximating Fixed Points of Non-Lipschitzian Mappings by Metric Projections
... for all x ∈ E. It is known that a Banach space E is smooth if and only if the normalized duality mapping J is single-valued. Some properties of duality mapping have been given in 4–6. Let C be a closed convex ...
9
Endpoints of multivalued nonexpansive mappings in geodesic spaces
... If T is a single-valued nonexpansive mapping on a closed convex subset of a complete CAT() space, then Fix(T ) is closed and convex (see, e.g., Kirk []). The closedness of Fix(T) can be easily extended ...
11
Ishikawa iteration process with errors for nonexpansive mappings
... 1. Introduction. Let C be a closed convex subset of a Banach space X and T : C → C be a nonexpansive mapping (i.e., T x−T y ≤ x −y for all x, y in C). Recently, Deng and Li [1] introduced an Ishikawa iteration ...
5
A generalized system of variational inequalities in a Banach space
... Theorem A [6] Let B be a reflexive, strictly convex and smooth Banach space with dual B ∗ . Let T be an arbitrary operator from Banach space B to B ∗ , α an arbitrary fixed positive number. Then the point x ∈ K ⊂ ...
11