Nonexpansive Nonself-Mappings
Convergence theorems for common fixed points of a finite family of total asymptotically nonexpansive nonself mappings in hyperbolic spaces
... Theorem 3.1. Let C be a nonempty closed convex subset of a complete uniformly convex hyper- bolic space X with monotone modulus of uniform convexity η. Let S 1 , S 2 , . . . , S r : C → X be uni- formly L-Lipschitzian ...
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Viscosity approximation methods for nonexpansive nonself-mappings without boundary conditions
... This work contains our contribution dedicated to developing and improving the viscos- ity approximation methods for finding fixed points of nonexpansive nonself-mappings. A novel and remarkable finding ...
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Strong convergence theorems for two total asymptotically nonexpansive nonself mappings in Banach spaces
... In this paper, we define and study the convergence theorems of a new two-steps iterative scheme for two total asymptotically nonexpansive nonself-mappings in Banach spaces. The results of this paper ...
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Weak and strong convergence of finite family with errors of nonexpansive nonself-mappings
... for nonexpansive mappings in Banach spaces includ- ing Mann and Ishikawa iteration processes has been studied extensively by many au- thors to solve the nonlinear operator equations in Hilbert spaces and ...
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The New Viscosity Approximation Methods for Nonexpansive Nonself Mappings
... the nonexpansive nonself-mappings, we introduced two new viscosity approximation methods, and then we prove the iterative sequences defined by above viscosity approximation methods which converge ...
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△ Convergence analysis of improved Kuhfittig iterative for asymptotically nonexpansive nonself mappings in W hyperbolic spaces
... In fact, a few important results of the problems in various disciplines of science be- ing nonlinear in nature were studied only in CAT() space. In , the concept of -convergence in general metric spaces was coined ...
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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 ...
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Strong and △ convergence theorems for total asymptotically nonexpansive nonself mappings in CAT(0) spaces
... The purpose of this paper is to study the existence theorems of fixed points, -convergence and strong convergence theorems for total asymptotically nonexpansive nonself mappings in the framework of ...
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Strong convergence theorems for a countable family of totally quasi ϕ asymptotically nonexpansive nonself mappings in Banach spaces with applications
... In this paper, we introduce a class of totally quasi- φ -asymptotically nonexpansive nonself mappings and study the strong convergence under a limit condition only in the framework of Banach spaces. ...
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Strong Convergence of Cesàro Mean Iterations for Nonexpansive Nonself-Mappings in Banach Spaces
... x. Very recently, Song and Chen [3] also extended the result of Shimizu and Takahashi [1] to a uniformly convex Banach space which admits a weakly sequentially continuous duality mapping. But this approximation method is ...
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Convergence theorems for total asymptotically quasi-nonexpansive nonself mappings in uniformly convex metric spaces
... In this paper, we study and prove some fixed point theorems for fixed points of total asymptotically quasi-nonexpansive nonself mappings in uniformly convex metric spaces.. Keywords: tot[r] ...
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Convergence of general algorithm for I generalized asymptotically nonexpansive nonself mappings in uniformly convex hyperbolic spaces
... For nonself-nonexpansive mappings, some authors (see [, ] and the references therein) have studied the strong and weak convergence theorems in Hilbert spaces or uniformly convex Banach ...of ...
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Approximating Fixed Points of Nonexpansive Nonself 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 much ...
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Some Weak Convergence Theorems for a Family of Asymptotically Nonexpansive Nonself Mappings
... sunny nonexpansive retraction from E onto ...asymptotically nonexpansive mapping with respect to P with a sequence {k n } ⊂ 1, ∞ such that ∞ n1 k n − 1 < ...
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Strong convergence theorems for asymptotically nonexpansive nonself-mappings with applications
... In this paper, first, we introduce the condition (BP) which is weaker than the completely continuous mapping in Banach spaces. Second, we consider a simple iteration and prove some strong convergence theorems of the ...
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Demiclosed principle and convergence theorems for total asymptoticallynonexpansive nonself mappings in hyperbolic spaces
... asymptotically nonexpansive non- self mappings in uniformly convex Banach ...asymptotically nonexpansive nonself mappings in CAT() ...asymptotically nonexpansive nonself ...
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Convergence theorems for total asymptotically nonexpansive non self mappings in CAT(0) spaces
... totically nonexpansive nonself mappings and prove the demiclosed principle for this kind of mappings in CAT() ...asymptotically nonexpansive nonself mappings in CAT() ...
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Convergence theorems for mixed type asymptotically nonexpansive mappings
... asymptotically nonexpansive self-mappings and two asymptotically nonexpansive nonself-mappings and to prove some strong and weak convergence theorems for the new iteration scheme in ...
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Convergence of Three-Step Iterations Scheme for Nonself Asymptotically Nonexpansive Mappings
... a nonexpansive retraction P : X → K such that Px x for all x ∈ ...of nonexpansive nonself-mappings have been studied by many authors see, ...corresponding nonself-versions of ...for ...
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19. An iteration process for common fixed points of two nonself asymptotically nonexpansive mappings
... of nonexpansive self mappings, the class of asymptotically nonexpansive self mappings was introduced by Goebel and Kirk [3] whereas the concept of asymptotically nonexpansive ...
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