[PDF] Top 20 Viscosity approximation methods for nonexpansive mappings in CAT(0) spaces
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Viscosity approximation methods for nonexpansive mappings in CAT(0) spaces
... It is proved in [] that a normed linear space satisfies the (CN)-inequality if and only if it satisfies the parallelogram identity, i.e., is a pre-Hilbert space; hence it is not so unusual to have an inner product-like ... See full document
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Viscosity approximation methods for nonexpansive semigroups in CAT(0) spaces
... Moudafi’s viscosity approximation methods for a one-parameter continuous semigroup of nonexpansive mappings S := {T (t) : t ∈ R + } in CAT() ... See full document
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An Implicit Algorithm for a Family of Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces
... Abstract. In this paper, we establish some strong convergence theorems of an implicit algorithm for a finite family of of total asymptotically nonexpansive mappings in the setting of CAT(0) ... See full document
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General modified viscosity implicit rules for generalized asymptotically nonexpansive mappings in complete \(\operatorname{CAT}(0)\) spaces
... asymptotically nonexpansive is closely related to the theory of fixed points in Banach spaces, and the implicit midpoint rule is one of the powerful numerical methods for solving differential ... See full document
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Viscosity approximation methods for two nonexpansive semigroups in CAT(0) spaces
... Moudafi’s viscosity approximation methods for two one-parameter continuous semi- groups of nonexpansive mappings in CAT() ... See full document
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General viscosity approximation methods for quasi nonexpansive mappings with applications
... general viscosity approximation methods for quasi-nonexpansive mappings in the setting of infinite-dimensional Hilbert ...quasi-nonexpansive mappings in Hilbert ... See full document
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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 ... 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 ... See full document
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Demiclosed Principle for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
... every nonexpansive single-valued mapping defined on a bounded closed convex subset of a complete CAT0 space always has a fixed ...multivalued mappings in CAT0 spaces has been rapidly developed and ... See full document
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Approximating of common fixed points of two multivalued nonexpansive mappings in CAT(0) spaces
... For nonexpansive multivalued mappings, Sastry and Babu [19] defined the Mann and Ishikawa iteration process in a Hilbert space. Panyanak [20], and Song and Wang [16] extended the re- sults of Sastry and ... See full document
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Rodé's theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces
... In 1976, Lim [1] introduced a concept of convergence in a general metric space, called strong Δ -convergence. In [2], Kirk and Panyanak introduced a concept of convergence in a CAT(0) space, called Δ ... See full document
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Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces
... the mappings s → ts and s → st from S to S are continuous, and let BC(S) be the Banach space of all bounded continuous real-valued functions with supremum ... See full document
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Viscosity approximation methods for hierarchical optimization problems in CAT(0) spaces
... This paper aims at investigating viscosity approximation methods for solving a system of variational inequalities in a CAT(0) space. Two algorithms are given. Under certain appropriate ... See full document
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Generalized viscosity approximation methods for nonexpansive mappings
... contractive mappings and apply a more gener- alized iterative method like viscosity approximation to approximate some fixed point of a nonexpansive mapping defined on a closed convex subset C of ... See full document
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Existence and approximation results for SKC mappings in CAT(0) spaces
... Suzuki-generalized nonexpansive mappings to the class of SKC ...SKC mappings to get a criterion to guarantee a fixed point, via extending the results proved by Karapınar and Tas into the class of ... See full document
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General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces
... for nonexpansive mappings, nonexpansive semigroup, and pseudocontractive semigroup in Banach spaces see, ...∈ 0, 1, T : H → H be a nonexpansive mapping, and A be a strongly ... See full document
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Implicit Mann approximation with perturbations for nonexpansive semigroups in CAT(0) spaces
... 1. Browder, FE: Nonexpansive nonlinear operators in a Banach space. Proc. Natl. Acad. Sci. USA 54, 1041-1044 (1965) 2. DeMarr, R: Common fixed points for commuting contraction mappings. Pac. J. Math. 13, ... See full document
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Convergence theorems on total asymptotically demicontractive and hemicontractive mappings in CAT(0) spaces
... for nonexpansive mappings in the setting of CAT() space have been studied extensively by many authors (see, for example, ...sive mappings in CAT() ...asymptotically ... 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 ... See full document
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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 ... See full document
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