[PDF] Top 20 Approximating common fixed points in hyperbolic spaces

... convex hyperbolic metric ...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 ∈ X, which will be denoted by [x, ... See full document

... linear spaces are hyperbolic ...CAT() spaces [–] (see Example ...a hyperbolic metric space M is convex if [x, y] ⊂ C whenever x, y are in ...a hyperbolic metric ... See full document

... In our next result we also drop the condition on the convexity of the values of T but, this time, we ask the geodesic space M not to have bifurcating geodesics. That is, for any two segments starting at the same point ... See full document

... able to vary [–]. One of the most interesting problem discussed in these spaces is the Dirichlet energy problem [, ]. One way to discuss this problem is to convert the energy functional, defined by a modular, ... See full document

... continuous on X × X for each a Î I. Further, the uniformity U is not necessarily pseu- dometrizable (resp. metrizable) unless B is countable, and in that case, U may be gen- erated by a single pseudometric (resp. a ... See full document

... Let (X, d) be a metric space. For x, y ∈ X, a geodesic path joining x to y (or a geodesic from x to y) is an isometric mapping c : [, ] ⊂ R → X such that c() = x, c() = y, that is, d(c(t), c(t )) = | t – t | for all t, ... See full document

... Let X, d be a metric space. A geodesic path joining x ∈ X to y ∈ X or, more briefly, a geodesic from x to y is a map c from a closed interval 0, l ⊂ R to X such that c0 x, cl y, and dct, ct |t − t | for all t, t ∈ 0, l. ... See full document

... Thus we have Px = Ry, i.e. Px = Sx = Ry = Ty. Suppose that there is a another point z such that Pz = Sz then by (4) we have Pz = Sz = Ry = Ty, so Px=Pz and w = Px = Sx is the unique point of coincidence of P and ... See full document

... fixed points of single-valued mappings in modular function spaces has been studied by many ...fixed points in such spaces via convergence of an iterative process for single-valued mappings has ... See full document

... It is well known that the Banach contraction principle is a fundamental result in fixed point theory. After this classical result, many fixed point results have been developed, see[1-5] and others. In 2002, ... See full document

... proposed iterations in uniformly convex Banach spaces. They [18] also introduced another new two- step iterative scheme with errors for finding a common fixed point of two quasi- nonexpansive ... See full document

... nonempty common fixed points set F(T ) in D will be said to satisfy condition A [2, 4] if there is a nondecreasing function f : [0,∞) → [0,∞) with f (0) = 0, f (r ) > 0 for r ∈ (0,∞), such that x − Sx ≥ f ... See full document

... Following Grabiec’s approach to fuzzy contraction principle, the purpose of this note is to obtain common fixed point theorems for asymptotically commuting maps on fuzzy metric spaces...[r] ... 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

... 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 uniformly ... See full document

... for approximating a common fixed point of two sequences of uniformly quasi-Lipschitzian mappings in convex cone metric spaces by comparing the convergence theorems considered in convex metric ... See full document

... Theorem 2.7. Let X be a uniformly convex complete metric space with continuous convex structure and let C be its nonempty closed convex subset. Let T be a continuous map of C into itself with at least one fixed ... See full document

... fixed points for multivalued nonexpansive maps using Hausdorff metric was initiated by Markin [] (see also ...fixed points for multivalued nonexpansive mappings in convex metric spaces has been shown ... See full document

... In 1973, Petryshyn and Williamson [8] established a necessary and su ffi cient con- dition for a Mann iterative sequence to converge strongly to a fixed point of a quasi- nonexpansive mapping. Subsequently, Ghosh ... See full document

... 0 . ˙In particular, c is an isometry and d (x, y) = l. The image α of c is called a geodesic (or metric) segment joining x and y. When itis unique this godesic is denoted by [x, y]. The space (X , d) is said to be a ... See full document