[PDF] Top 20 Approximation Methods for Common Fixed Points of Mean Nonexpansive Mapping in Banach Spaces
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Approximation Methods for Common Fixed Points of Mean Nonexpansive Mapping in Banach Spaces
... Chen, “Iterative approximation to common fixed points of nonexpansive mapping se- quences in reflexive Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications , vol. Khan,[r] ... See full document
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New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces
... of common fixed points for a finite family of nonexpansive mappings has been considered by many authors see 1–4 and the references ...the fixed point sets of a family 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, ...contractive mapping with coefficient α ∈ 0, 1, T : H → H be a ... See full document
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Demiclodeness and fixed points of g-asymptotically nonexpansive mapping in Banach spaces with graph
... convex Banach space endowed with a tran- sitive directed graph G = (V (G),E (G)), such that V (G) = C and E (G) is ...G-asymptotically nonexpansive self-mapping on ...mon fixed point of a ... See full document
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On common approximate fixed points of monotone nonexpansive semigroups in Banach spaces
... the mapping (t, x) → T (t)x would represent the evolution function of a dynamical ...with nonexpansive mappings, then geometric properties of the space are ... See full document
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Common fixed points of G-nonexpansive mappings on Banach spaces with a graph
... , Banach proved a remarkable and powerful result called the Banach contraction ...in Banach spaces endowed with a ...the Banach contraction principle to mappings on a metric space ... See full document
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Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces
... of fixed points of nonlinear mappings is an important and active research ...finding fixed points of nonexpansive mappings have received vast investigation ...the fixed point of ... See full document
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Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces
... tively nonexpansive mappings in reflexive Banach space and give an example to illustrate the existence of weak Bregman relatively nonexpansive mapping and the difference between weak Bregman ... See full document
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A new approximation method for common fixed points of a finite family of nonexpansive non-self mappings in Banach spaces
... real Banach space, C a nonempty closed convex subset of a Banach space X and let P : X → C be the nonexpansive retraction of X onto C, T : C → X a given ...be nonexpansive if kT x − T yk ≤ kx ... See full document
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Viscosity Approximation to Common Fixed Points of Families of Nonexpansive Mappings with Weakly Contractive Mappings
... Hilbert spaces, and Rhoades 2 showed that the result of 1 is also valid in the complete metric spaces as ...A mapping T : X → X is called weakly contractive ... See full document
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Approximation of fixed point for multi-valued nonexpansive mapping in Banach spaces
... In 2007, Agarwal et al. [2] introduced a new iterative process whose rate of convergence is faster than the iteration processes cited in above paragraph. Motivation of the results of Agarwal et al. [2] several researches ... See full document
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Iteration scheme for common fixed points of hemicontractive and nonexpansive operators in Banach spaces
... arbitrary Banach space X, and let X ∗ be its dual ...fixed points of a single-valued mapping T : K → ...duality mapping from X to X ∗ defined ... See full document
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Approximation of fixed points for nonexpansive semigroups in Hilbert spaces
... fixed points of nonexpansive mappings by a sequence of finite means has been considered by many authors; see, for instance, ...a nonexpansive mapping from C into itself such that the set Fix(T ) ... See full document
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Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces
... The mapping T is called nonexpansive if Tx − T y ≤ x − y for all x, y ∈ K; and is called quasi-nonexpansive if F (T ) = ∅ and Tx − x ∗ ≤ x − x ∗ for all x ∈ K and x ∗ ∈ F(T ...a nonexpansive ... See full document
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Viscosity Approximation of Common Fixed Points for Lipschitzian Semigroup of Pseudocontractive Mappings in Banach Spaces
... approximating common fixed points of the pseudocontractive semigroup in uniformly convex Banach spaces with uniformly Gˆateaux differential ...approximating common fixed ... 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
... asymptotically nonexpansive mappings was introduced by Goebel and Kirk 1 as a generalization of the class of nonexpansive ...real Banach space and T is an asymptotically nonexpansive ... See full document
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Approximating Common Fixed Points of Lipschitzian Semigroup in Smooth Banach Spaces
... Definition 1.1. Let S {T s : s ∈ S} be a representation of a left reversible semigroup S as Lipschitzian mappings on C with Lipschitz constants {ks : s ∈ S}. We will say that S is an asymptotically nonexpansive ... See full document
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Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
... of fixed points of T ...[13]. Common fixed point theorems for families of nonexpansive mappings are proved in [2, 4, 5], and other ... See full document
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Fixed points of multivalued nonexpansive mappings in Banach spaces
... approximate fixed points of a multivalued nonex- pansive mapping ...of fixed points of T is same as that of P T , see Lemma 2 ... See full document
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On fixed points of fundamentally nonexpansive mappings in Banach spaces
... The mapping T is called nonexpansive if kT x − T yk 6 kx − yk for all x, y ∈ ...the fixed points set of T , ...its fixed points set is nonempty and kT x − uk 6 kx − uk for all x ... See full document
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