[PDF] Top 20 The split common fixed point problem for asymptotically nonexpansive semigroups in Banach spaces
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The split common fixed point problem for asymptotically nonexpansive semigroups in Banach spaces
... Example . ([] (Example of asymptotically nonexpansive semigroup)) Let E be an uni- formly convex Banach space which admits a weakly continuous duality mapping. Let L(E) be the space of all bounded ... See full document
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Strong convergence for total quasi-ϕ-asymptotically nonexpansive semigroups in Banach spaces
... The purpose of this article is to use the modified Halpern-Mann type iteration algorithm for total quasi- φ -asymptotically nonexpansive semigroups to prove strong convergence in Banach ... See full document
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Strong convergence theorems for fixed points of asymptotically nonexpansive semigroups in Banach spaces
... A Banach space E is said to be uniformly convex, if for any ∈ (, ], there exists a δ > such that, for any x, y ∈ U, x – y ≥ implies x+y ≤ – ...convex Banach space is reflexive and strictly ... See full document
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The modified general iterative methods for asymptotically nonexpansive semigroups in Banach spaces
... a common fixed point of asymptotically nonexpansive semigroups, which is a unique solution of some variational ...real Banach space which has a uniformly Gâteaux differentiable ... See full document
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On the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings in Banach spaces
... Hilbert spaces was first introduced by Censor and Elfving [] for modeling inverse problems which arise from phase retrievals and in medical im- age reconstruction ...The split common fixed ... See full document
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Common Fixed Point Iterations of Generalized Asymptotically Quasi Nonexpansive Mappings in Hyperbolic Spaces
... generalized asymptotically quasi- nonexpansive mappings in a hyperbolic space and study its strong ...hyperbolic spaces and generalize many known results in Banach spaces and CAT(0) ... See full document
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Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces
... 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 mapping with a nonempty ... See full document
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On solutions of a system of variational inequalities and fixed point problems in Banach spaces
... the problem of solving a system of variational inequalities and a common fixed point problem of an infinite family of nonexpansive mappings in Banach spaces, we propose a ... See full document
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The strong convergence theorems for split common fixed point problem ofasymptotically nonexpansive mappings in Hilbert spaces
... Hilbert spaces was first introduced by Censor and Elfving [] for modeling inverse problems which arise from phase retrievals and in medical image reconstruction ... See full document
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On a Hybrid Method for Generalized Mixed Equilibrium Problem and Fixed Point Problem of a Family of Quasi--Asymptotically Nonexpansive Mappings in Banach Spaces
... Let E be a Banach space and let C be a closed convex subsets of E. Let F be an equilibrium bifunction from C × C into R, let ψ : C → R be a real-valued function, and let A : C → E ∗ be a nonlinear mapping. The ... See full document
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Fixed point solutions of variational inequalities for a semigroup of asymptotically nonexpansive mappings in Banach spaces
... a common fixed point of a semigroup of asymptotically nonexpansive mappings which is a unique solution of some variational ...convex Banach space which admits a weakly continuous duality ... See full document
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Fixed point theorems for left amenable semigroups of non-Lipschitzian mappings in Banach spaces
... reversible semigroups of asymp- totically nonexpansive ...amenable semigroups of asymptotically nonexpansive type mappings in Banach ...amenable semigroups of ... See full document
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Convergence to Common Fixed Point for Nearly Asymptotically Nonexpansive Mappings in Banach Spaces
... If we put S = T , then iteration scheme (1.2) reduces to S-iteration scheme (1.1). The aim of this paper is to establish some strong convergence theorems and a weak convergence theorem of modified S-iteration scheme ... See full document
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Iterative approximation for split common fixed point problem involving an asymptotically nonexpansive semigroup and a total asymptotically strict pseudocontraction
... the spectral radius of the operator A ∗ A, and they proved strong convergence results con- cerning (.) for quasi-nonexpansive operators S and T in real Hilbert spaces. Inspired by the work of Zhao and He ... See full document
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Normal Structure and Common Fixed Point Properties for Semigroups of Nonexpansive Mappings in Banach Spaces
... Open Problem 2 Bruck 18. Can commutativity of S be replaced by left reversibility? The answer to Problem 2 is not known even when the semigroup is left amenable. Let Σ, ◦ be a compact right topological ... See full document
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Convergence to Common Fixed Point for Generalized Asymptotically Nonexpansive Semigroup in Banach Spaces
... convex Banach space with a uniformly Gˆateaux differentiable norm, K a nonempty closed convex subset of E, F {T h : h ≥ 0} a ...generalized asymptotically nonexpansive semigroup from K into itself ... See full document
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On common approximate fixed points of monotone nonexpansive semigroups in Banach spaces
... the common approximate fixed points of monotone nonexpansive semigroups of nonlinear mappings {T(t)} t≥0 , ...the common approximate fixed points are the same as the common approximate ... See full document
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1. Convergence theorems of fixed point for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
... generalized asymptotically nonexpansive mapping and gave a necessary and sufficient condition for the modi- fied Ishikawa and Mann iterative sequences to converge to fixed points for the class of ...a ... See full document
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Strong convergence of an new iterative method for a zero of accretive operator and nonexpansive mapping
... Let D be a subset of C. Then Q : C ® D is called a retraction from C onto D if Q(x) = x for all x Î D. A retraction Q : C ® D is said to be sunny if Q(x + t(x - Q(x))) = Q(x) for all x Î C and t ≥ 0 whenever x + t(x - ... See full document
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Convergence analysis of a general iteration schema of nonlinear mappings in hyperbolic spaces
... a problem of interest in theoretical numerical ...of asymptotically quasi-nonexpansive maps in hyperbolic ...CAT(0) spaces and uniformly convex Banach ... See full document
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