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[PDF] Top 20 Viscosity approximation methods for nonexpansive semigroups in CAT(0) spaces

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Viscosity approximation methods for nonexpansive semigroups in CAT(0) spaces

Viscosity approximation methods for nonexpansive semigroups in CAT(0) spaces

... a CAT() space. Other examples include pre-Hilbert spaces, R-trees (see []), Euclidean buildings (see []), the complex Hilbert ball with a hyperbolic metric (see []), and many ...Complete CAT() ... See full document

16

Implicit Mann approximation with perturbations for nonexpansive semigroups in CAT(0) spaces

Implicit Mann approximation with perturbations for nonexpansive semigroups in CAT(0) spaces

... of nonexpansive semigroup in CAT(0) ...of nonexpansive mappings in CAT(0) ...for nonexpansive semigroups in CAT(0) ... See full document

13

Viscosity approximation methods for hierarchical optimization problems in CAT(0) spaces

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

14

General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces

General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces

... with 0 < α ≤ 1, then φ-strongly pseudocontractive mapping reduces to β-strongly pseudocontractive mapping with 1 − α β ∈ 0, 1, which is more general than contractive ... See full document

12

Viscosity approximation methods for asymptotically nonexpansive mapping in CAT(0) spaces

Viscosity approximation methods for asymptotically nonexpansive mapping in CAT(0) spaces

... asymptotically nonexpansive mappings in CAT() ...Moudafi’s viscosity approximation methods for an asymptotically nonexpansive mapping in CAT() ...complete CAT() ... See full document

15

Viscosity approximation methods for nonexpansive mappings in CAT(0) spaces

Viscosity approximation methods for nonexpansive mappings in CAT(0) spaces

... a CAT() space. Other examples include pre-Hilbert spaces, R-trees (see []), Euclidean buildings (see []), the complex Hilbert ball with a hyperbolic metric (see []), and many ...Complete CAT() ... See full document

15

Viscosity approximation methods for two nonexpansive semigroups in CAT(0) spaces

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) ...continuous ... See full document

16

Viscosity approximation methods for multivalued nonexpansive mappings in geodesic spaces

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

14

General modified viscosity implicit rules for generalized asymptotically nonexpansive mappings in complete \(\operatorname{CAT}(0)\) spaces

General modified viscosity implicit rules for generalized asymptotically nonexpansive mappings in complete \(\operatorname{CAT}(0)\) spaces

... asymptotically nonexpansive map- ping, which is closely related to the theory of fixed points in Banach ...asymptotically nonexpansive mappings. Recently, the iterative approximation problems of fixed ... See full document

16

Viscosity iteration method in CAT(0) spaces without the nice projection property

Viscosity iteration method in CAT(0) spaces without the nice projection property

... iteration methods for finding fixed points of nonexpansive map- pings was given by Moudafi ...a nonexpansive mapping with Fix(T ) = ∅ , the following scheme is known as the viscosity iteration ... See full document

9

Viscosity Approximation Methods for Nonexpansive Nonself Mappings in Hilbert
Spaces

Viscosity Approximation Methods for Nonexpansive Nonself Mappings in Hilbert Spaces

... a nonexpansive nonself-mapping with F(T) = ∅ ...= 0. Then for a contraction mapping f : C → C with coe ffi cient α ∈ (0, 1), the sequence { x n } defined by ... See full document

10

A viscosity approximation method for weakly relatively nonexpansive mappings by the sunny nonexpansive retractions in Banach spaces

A viscosity approximation method for weakly relatively nonexpansive mappings by the sunny nonexpansive retractions in Banach spaces

... of nonexpansive mappings, while the main result of the present paper gives a strong convergence theorem to approximate common fixed points of an infinite family of weakly relatively nonexpansive mappings in a ... See full document

13

Approximating fixed points for nonself mappings in CAT(0) spaces

Approximating fixed points for nonself mappings in CAT(0) spaces

... Let (X, d) be a metric space. A geodesic path joining x Î X to y Î 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 c(0) = x, c (l) = y and d(c(t), ... See full document

7

Viscosity approximation methods for nonexpansive nonself-mappings without boundary conditions

Viscosity approximation methods for nonexpansive nonself-mappings without boundary conditions

... for nonexpansive nonself-mappings has been paid much attention to by many authors, see ...iterative methods (one is implicit and the other is explicit) and estab- lished the strong convergence of such two ... See full document

13

The modified general iterative methods for nonexpansive semigroups in banach spaces†

The modified general iterative methods for nonexpansive semigroups in banach spaces†

... Corollary 3.6. Let E be a uniformly convex Banach space which admits a weakly con- tinuous duality mapping J with gauge such that is invariant on [0, 1]. Let C be a nonempty closed convex subset of E and S = {T(s) ... See full document

15

Approximating Fixed Points of Nonexpansive Nonself Mappings in CAT(0) Spaces

Approximating Fixed Points of Nonexpansive Nonself Mappings in CAT(0) Spaces

... 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 ∈ ... See full document

11

Approximating fixed points for generalized nonexpansive mapping in CAT(0) spaces

Approximating fixed points for generalized nonexpansive mapping in CAT(0) spaces

... Banach spaces. Now, we state their condition in the framework of CAT() ...of CAT() space X and μ ≥ , then T is said to satisfy the condition (E μ ), if (for all x, y ∈ ... See full document

12

An Implicit Algorithm for a Family of Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces

An Implicit Algorithm for a Family of Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces

... (i) For x, y ∈ X and t ∈ [0, 1], there exists a unique point z ∈ [x, y] such that d(x, z) = t d(x, y) and d(y, z) = (1 − t) d(x, y). (A) We use the notation (1 − t)x ⊕ ty for the unique point z satisfying (A). ... See full document

11

Approximating fixed points of α-nonexpansive mappings in uniformly convex Banach spaces and CAT(0) spaces

Approximating fixed points of α-nonexpansive mappings in uniformly convex Banach spaces and CAT(0) spaces

... is nonexpansive if Tx – Ty ≤ x – y for all x, y in C, and that T is quasi-nonexpansive if F(T) = ∅ and Tx – y ≤ x – y for all x in C and y in F(T ... See full document

20

The modified general iterative methods for asymptotically nonexpansive semigroups in Banach spaces

The modified general iterative methods for asymptotically nonexpansive semigroups in Banach spaces

... where A is a strongly positive bounded linear operator on K and f is a contraction on K. The strong convergence theorems of the iterative approximation methods (.) and (.) in a real Banach space which ... See full document

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