[PDF] Top 20 The New Viscosity Approximation Methods for Nonexpansive Nonself Mappings
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The New Viscosity Approximation Methods for Nonexpansive Nonself Mappings
... x + = λ + u + − λ + Tx n ≥ (1) Helpern [3] was the first to study the strong convergence of the iteration process (1). In 1992, Albert [4] stu- died the convergence of the Ishikawa iteration process in Banach space, ... See full document
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Generalized viscosity approximation method for nonexpansive mappings in Hadamard manifolds
... Viscosity approximation method for nonexpansive mapping was introduced by Moudafi [22] in ...for nonexpansive mappings by the viscosity approximation methods and ... See full document
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Viscosity Approximation Methods for Generalized Mixed Equilibrium Problems and Fixed Points of a Sequence of Nonexpansive Mappings
... the viscosity approximation method for finding a common element of the set of common solutions for generalized mixed equilibrium problems and the set of common fixed points of a sequence of ... See full document
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A viscosity approximation method for weakly relatively nonexpansive mappings by the sunny nonexpansive retractions in Banach spaces
... quasi- nonexpansive mappings without using the demiclosedness principle in a Banach space E? Many problems in nonlinear analysis can be formulated as a problem of finding a fixed point of a ... See full document
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New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces
... We introduce new general iterative approximation methods for finding a common fixed point of a countable family of nonexpansive mappings. Strong convergence theorems are established in ... 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 nonexpansive ... 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 asymptotically nonexpansive mapping in CAT(0) spaces
... nonexpansive mappings which are not nonexpansive (see, ...of nonexpansive mappings, the class of asymptotically nonexpansive mappings was introduced by Goebel and Kirk ... See full document
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A New Iteration Process for Approximation of Common Fixed Points for Finite Families of Total Asymptotically Nonexpansive Mappings
... iterative approximation of common fixed points of generalizations of nonlinear nonexpansive mappings ...iterative methods for approximating common fixed points when they exist of finite ... 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, ...a nonexpansive mapping, and A be a strongly positive and linear bounded operator ... 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 ...proposed new algorithm converge strongly to a fixed point ... See full document
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Generalized viscosity approximation methods for nonexpansive mappings
... contractive mappings and obtain strong convergence theorem for approximating fixed point of a non- expansive ...a new iterative algorithm for finding some common fixed point of a finite family ... See full document
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Viscosity approximation methods for multivalued nonexpansive mappings in geodesic spaces
... If () is valid when k = , then T is called nonexpansive. A point x ∈ E is called a fixed point of T if x ∈ T (x). We shall denote by Fix(T ) the set of all fixed points of T . A multivalued mapping T is said to ... See full document
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Viscosity approximation methods for nonexpansive mappings in CAT(0) spaces
... called nonexpansive iff d(Tx, Ty) ≤ d(x, y) for all x, y ∈ ...a nonexpansive mapping T is closed and ...several mappings in CAT() spaces have been investigated by many authors (see also ... See full document
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Viscosity approximation methods for nonexpansive nonself-mappings without boundary conditions
... a nonexpansive mapping with Fix(T ) = ∅ and : C → E a ...sunny nonexpansive retract of E and let Q be the unique sunny nonexpansive retraction from E onto ... See full document
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Viscosity Approximation Methods for Nonexpansive Nonself Mappings in Hilbert Spaces
... Theorem 3.1. Let H be a Hilbert space, C a nonempty closed convex subset of H , P the met- ric projection of H onto C, and T : C → H a nonexpansive nonself-mapping with F(T) = ∅ . Let { t n } be sequence in ... See full document
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Viscosity Approximation to Common Fixed Points of Families of Nonexpansive Mappings with Weakly Contractive Mappings
... Corollary 3.2. Let X be a real uniformly convex Banach space which admits a weakly sequentially continuous duality mapping J from X to X ∗ and C a nonempty closed convex subset of X. Suppose that T : C → C is a ... See full document
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Convergence Comparison of Several Iteration Algorithms for the Common Fixed Point Problems
... Moudafi’s viscosity approximations with the weak contraction, and give the estimate of convergence rate between Halpern’s type iteration and Mouda’s viscosity approximations with the weak ... See full document
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Convergence Theorems for Common Fixed Points of Nonself Asymptotically Quasi-Non-Expansive Mappings
... We introduce a new three-step iterative scheme with errors. Several convergence theorems of this scheme are established for common fixed points of nonself asymptotically quasi-non-expansive mappings ... See full document
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Convergence theorems for total asymptotically nonexpansive non self mappings in CAT(0) spaces
... complete CAT() space always has a fixed point. In , Kirk and Panyanak [] special- ized Lim’s concept to CAT() spaces and proved that it is very similar to the weak conver- gence in the Banach space setting. So, the ... See full document
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