[PDF] Top 20 Some convergence results using K iteration process in \(\mathit{CAT}(0)\) spaces
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Some convergence results using K iteration process in \(\mathit{CAT}(0)\) spaces
... Picard iteration process for approx- imation of fixed ...mappings. Some of the well-known iterative processes are those of Mann [4], Ishikawa [5], Agarwal [6], Noor [7], Abbas [8], SP [9], S ∗ [10], ... See full document
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Strong and △-convergence theorems for two asymptotically nonexpansive mappings in the intermediate sense in \(\operatorname{CAT}(0)\) spaces
... two-step iteration process involving two asymptotically nonexpansive mappings in the intermediate sense which is wider than the class of asymptotically nonexpansive mappings in the setting of ... See full document
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Some convergence results for modified SP-iteration scheme in hyperbolic spaces
... subset K of a hyperbolic space X is convex if W(x, y, λ) ∈ K for all x, y ∈ K and λ ∈ [, ...hyperbolic spaces in [] is more restrictive than the hyperbolic type introduced by Goebel et ... See full document
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On the strong and Δ convergence of new multi step and S iteration processes in a CAT(0) space
... a CAT() space was first studied by Kirk (see [, ...complete CAT() space always has a fixed ...a CAT() space has been rapidly developed and many papers have appeared (see ...the results in a ... See full document
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On Noor-type iteration schemes for multivalued mappings in \(\operatorname{CAT}(0)\) spaces
... Noor-type iteration process for nonexpansive multivalued mappings and prove strong convergence theorems for the proposed iterative process in CAT() ...The results we obtain are ... See full document
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S- Iteration Process for Convergence of Two Asymptotically Non-Expansive Mapping in CAT (0) Space
... A CAT(0) space plays a fundamental role in various areas of mathematics (see Bridson and Haefliger [2], “Metric spaces of non-positive ...a CAT(0) space if it is geodesically connected ... See full document
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Fixed Point Theorem of Modified S-Iteration Process for Ciric Quasi Contractive Operator in CAT(0) spaces
... strong convergence of mod- ified S-iteration process for Ciric quasi contractive operator in the framework of CAT(0) ...extends some corresponding previous result from the ... See full document
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Implicit Mann approximation with perturbations for nonexpansive semigroups in CAT(0) spaces
... approximating convergence for several mappings in CAT() spaces restricts to explicit iteration ...develop some existing results such as [, Theorems ...Mann iteration ... See full document
13
Strong Convergence of an Implicit Algorithm in CAT(0) Spaces
... strong convergence of iterative algorithm ...CAT0 spaces. It is worth mentioning that if an implicit iteration algorithm without an error term converges, then the method of proof generally carries ... See full document
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On the strong convergence of a modified S-iteration process for asymptotically quasi-nonexpansive mappings in a CAT(0) space
... a CAT() space if it is geodesically connected and if every geodesic triangle in X is at least as ‘thin’ as its comparison triangle in the Euclidean ...A CAT() space is a generalization of the Hadamard ... See full document
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Strong and Δ Convergence Results for Generalized Multi valued Non expansive Maps in CAT (0) Spaces
... Recall that a set D is proximinal if for each x ∈ X, there exists an element y ∈ D such that d(x, y) = d(x, D), where d(x, D) = inf {d(x,z) : z ∈ D}. Let CB (D); K (D) and P(D) denote the families of nonempty ... See full document
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Convergence theorems of common fixed points for some semigroups of nonexpansive mappings in complete CAT(0) spaces
... consider some iteration processes for one-parameter continuous semigroups of nonexpansive mappings in a nonempty compact convex subset C of a complete CAT(0) space X and prove that the ... See full document
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On the strong and △ convergence of SP iteration on CAT(0) space
... a CAT() ...collect some known preliminaries and lemmas that will be used in the proofs of our main ...main results which are related to the strong and -convergence theorems of the SP- ... See full document
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Vol 4, No 11 (2013)
... metric spaces. In 2008, Kirk and Panyanak [8] specialized this concept to CAT(0) spaces and showed that many Banach space results involving weak convergence have precise analogs ... See full document
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Halpern's Iteration in CAT(0) Spaces
... CAT0 spaces to be very similar to the weak convergence in Banach space ...Several convergence theorems for finding a fixed point of a nonexpansive mapping have been established with respect to this ... See full document
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Convergence of modified S iteration process for two asymptotically nonexpansive mappings in the intermediate sense in CAT(0) spaces
... S-iteration process and investigate the existence and convergence theorems in the setting of CAT(0) spaces for a class of mappings which is wider than that of asymptotically ... See full document
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Convergence theorems on total asymptotically demicontractive and hemicontractive mappings in CAT(0) spaces
... complete CAT() space X and T : C → C be a completely continuous and uniformly L-Lipschitzian and total asymp- totically demicontractive or hemicontractive mapping with F(T ) = ... See full document
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Some convergence results for multivalued quasi-nonexpansive mappings in \(\operatorname{CAT}(\kappa)\) spaces
... mappings using the Hausdorff metric was first studied by Markin [] and Nadler ...the results of Sastry and Babu [] to uniformly convex Banach ...Ishikawa iteration processes and extended the ... See full document
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The modified S-iteration process for nonexpansive mappings in \(\operatorname{CAT}(\kappa)\) spaces
... -convergence results of a sequence generated by the modified S-iteration process for two nonexpansive mappings in complete CAT( κ ) ...spaces. Some numerical examples are ... See full document
12
Viscosity iteration method in CAT(0) spaces without the nice projection property
... a CAT() space if all of its geodesic triangles satisfy the CAT() ...of CAT() spaces, we refer the reader to standard texts, such as [, ...every CAT() space is uniquely geodesic. ... See full document
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