[PDF] Top 20 Viscosity approximation methods for asymptotically nonexpansive mapping in CAT(0) spaces
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Viscosity approximation methods for asymptotically nonexpansive mapping in CAT(0) spaces
... not nonexpansive (see, ...of nonexpansive mappings, the class of asymptotically nonexpansive mappings was introduced by Goebel and Kirk []) in and has been studied by several ...i.e., ... See full document
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Viscosity approximation methods for nonexpansive semigroups in CAT(0) spaces
... Moudafi’s viscosity approximation methods for approximating a common fixed point of a one-parameter continuous semigroup of nonexpansive mappings in CAT(0) ...of ... See full document
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Viscosity approximation methods for two nonexpansive semigroups in CAT(0) spaces
... the viscosity approximation method to study the strong convergence problem for two one-parameter continuous semigroups of nonexpansive mappings in CAT(0) ...of nonexpansive ... See full document
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Viscosity approximation methods for hierarchical optimization problems in CAT(0) spaces
... d(x, z) = td(x, y), d(y, z) = ( – t)d(x, y). (.) From now on, we will use the notation ( – t)x ⊕ ty for the unique point z satisfying (.). We now collect some elementary facts about CAT() spaces ... See full document
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Viscosity approximation methods for nonexpansive mappings in CAT(0) spaces
... complete CAT() space X. Then the mapping T of C into itself is called nonexpansive iff d(Tx, Ty) ≤ d(x, y) for all x, y ∈ ...a nonexpansive mapping T is closed and convex. A ... See full document
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General modified viscosity implicit rules for generalized asymptotically nonexpansive mappings in complete \(\operatorname{CAT}(0)\) spaces
... that nonexpansive mapping, asymptotically nonexpansive mapping, asymptotically nonexpansive mapping in the intermediate sense is generalized asymptotically ... See full document
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Strong and △ convergence theorems for total asymptotically nonexpansive nonself mappings in CAT(0) spaces
... in CAT() spaces for total asymptotically nonexpansive nonself mappings which is essentially wider than that of the asymptotically nonexpansive nonself mappings and the ... 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
... of asymptotically nonexpansive mapping was introduced by Goebel and Kirk [] in ...iterative approximation problems for asymptotically nonexpansive and asymptotically ... See full document
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An Implicit Algorithm for a Family of Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces
... total asymptotically nonexpansive mapping as ...a mapping. T is said to be a total asymptotically nonexpansive mapping if there exist non-negative real sequences {µ n }, ... 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
... of asymptotically nonexpansive mapping was introduced by Goebel and Kirk [] in ...iterative approximation problem for asymptotically nonexpansive and asymptotically ... See full document
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Viscosity approximation methods for multivalued nonexpansive mappings in geodesic spaces
... We prove strong convergence of the viscosity approximation method for multivalued nonexpansive mappings in CAT(0) spaces. Our results generalize the results of Dhompongsa et al. ... See full document
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Generalized viscosity approximation methods for nonexpansive mappings
... In this paper, motivated by the above works, we introduce a more generalized iterative method like viscosity approximation. In Section , we combine a sequence of contractive mappings and obtain strong ... See full document
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Viscosity Approximation Methods for Nonexpansive Nonself Mappings in Hilbert Spaces
... Viscosity approximation methods for nonexpansive nonself-mappings are studied. Let C be a nonempty closed convex subset of Hilbert space H , P a metric projection of H onto C and let T be a ... See full document
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General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces
... pseudocontractive mapping is more general than φ-strongly pseudocon- tractive ...with 0 < α ≤ 1, then φ-strongly pseudocontractive mapping reduces to β-strongly pseudocontractive mapping ... See full document
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Strong and $\Delta$-convergence theorems for total asymptotically nonexpansive mappings in CAT(0)
... for asymptotically nonexpansive mappings and gave the ∆-convergence theorem of the modified Mann iteration process for above mentioned mappings in a CAT(0) ...in CAT(0) ... See full document
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Strong and Δ-convergence for mixed type total asymptotically nonexpansive mappings in CAT(0) spaces
... total asymptotically nonexpansive nonself mappings and to prove the demiclosed principle for such mappings in CAT(0) ...total asymptotically nonexpansive mappings and two total ... See full document
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Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
... of nonexpansive mappings is Browder’s demiclosed principle 1 which states that if X is a uniformly convex Banach space, then C is a nonempty closed convex subset of X, and if T : C → X is a nonexpansive ... See full document
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Implicit Mann approximation with perturbations for nonexpansive semigroups in CAT(0) spaces
... A geodesic from x to y in X is 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 ∈ [, l]. In particular, is an isometry and d(x, y) = l. The ... See full document
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Fixed points of nonself total asymptotically nonexpansive mappings in hyperbolic spaces
... In a linear domains with some geometric structure have been studied extensively, one of such structures is convexity. Since every Banach space is a vector space, it is easier to assign a convex structure to it. However, ... See full document
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Approximating fixed points of α-nonexpansive mappings in uniformly convex Banach spaces and CAT(0) spaces
... a CAT() space. Other examples include inner product spaces, R -trees (see, for example, []), Euclidean building (see, for example, []), and the complex Hilbert ball with a hyperbolic metric (see, for ... See full document
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