[PDF] Top 20 3. An implicit iteration scheme with errors for Common fixed points of generalized asymptotically quasi-nonexpansive mappings
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3. An implicit iteration scheme with errors for Common fixed points of generalized asymptotically quasi-nonexpansive mappings
... of asymptotically nonexpansive mappings was introduced by Goebel and Kirk [8] who proved that every asymptotically nonex- pansive self-mapping of nonempty closed bounded and convex subset of a ... See full document
11
A hybrid iteration scheme for equilibrium problems and common fixed point problems of generalized quasi-ϕ-asymptotically nonexpansive mappings in Banach spaces
... -asymptotically nonexpansive mapping with a nonempty fixed point set F(T) is a quasi- j -asymptotically nonexpansive mapping, but the converse may be not ...of generalized ... See full document
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Weak and Strong Convergence of an Implicit Iteration Process for an Asymptotically Quasi--Nonexpansive Mapping in Banach Space
... I-nonexpansive mappings were investigated in ...iterative scheme for an I-nonexpansive mapping in a Banach space has been ...of implicit iteration process to a common ... See full document
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Approximation of Common Fixed Points for Families of Mappings in Banach Space
... of generalized asymptotically quasi-nonexpansive mappings and f : C → C a fixed contractive mapping with contractive coefficient α ∈ [ 0 , 1 ] ...the iteration ... See full document
7
Implicit Iteration Process for Common Fixed Points of Strictly Asymptotically Pseudocontractive Mappings in Banach Spaces
... new implicit iteration process with errors for finite families of strictly asymptot- ically pseudocontractive mappings and nonexpansive mappings is ...a common ... See full document
12
Convergence of two step iterative scheme with errors for two asymptotically nonexpansive mappings
... 3. Approximating common fixed points. We start with the following lemma. Lemma 3.1 . Let E be a normed space and C a nonempty bounded closed convex subset of E . Let, for k > 0, S and T be ... See full document
7
The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-ϕ-nonexpansive mappings
... iterative scheme based on the shrinking projection method for finding a common ele- ment of the set of solutions of the generalized mixed equilibrium problems, the set of the variational inequality ... See full document
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An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings
... by fixed-point problems, see, for example, [1-3]. Study of fixed points of non- linear mappings and its approximation algorithms constitutes a topic of intensive research ...of ... See full document
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Strong Convergence of Modified Implicit Iteration Processes for Common Fixed Points of Nonexpansive Mappings
... with implicit iteration scheme ...composite implicit iteration schemes and modify them by hybrid method, so strong convergence theorems are ... See full document
9
Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
... for asymptotically nonexpansive mappings have been obtained by Kirk and Ray [11] on unbounded sets in a Banach ...to fixed points of a class of mappings, containing ... See full document
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Strong Convergence Theorems for Common Fixed Points of Multistep Iterations with Errors in Banach Spaces
... for common fixed points of the multistep iterative scheme with errors for asymptotically nonexpansive mappings in the intermediate sense in a uniformly convex ... See full document
12
Convergence Theorems of an Implicit Iterates with Errors for Non-Lipschitzian Asymptotically Quasi-Nonexpansive Type Mappings
... Ishikawa iteration processes have been used by a number of authors to approximate the fixed points of nonexpansive, asymptotically nonex- pansive mappings, and ... See full document
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Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces
... of fixed points of T , F(T) = { x ∈ C : T(x) = x } is ...(1) nonexpansive provided Tx − T y ≤ x − y for all x, y ∈ C; (2) quasi-nonexpansive if Tx − p ≤ x − p for all x ∈ C, p ∈ F(T); ... See full document
11
Convergence of algorithms for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings with applications
... tion of (C2), Algorithm (1.1) is widely believed to have slow convergence though the rate of convergence has not be determined. Thus to improve the rate of convergence of algorithm (1.1), one can not rely only on the ... See full document
20
Iteration Scheme for Random Common Fixed Points of Two Random Asymptotically Nonexpansive Random Operators
... two mappings in iterative processes has also remained under study since Das and Debtat [26] gave and studied a two mappings ...approximating common fixed points of finitely many mapping ... See full document
10
Convergence Theorems of an Implicit Iterates with Errors for Total Asymptotically Pseudo-Contractive Mappings
... the implicit iteration process of Xu and Ori [11] and applied the modified averaging iteration process for the approximation of fixed points of asymptotically ... See full document
8
A New Iteration Process for Approximation of Common Fixed Points for Finite Families of Total Asymptotically Nonexpansive Mappings
... of mappings which are asymptotically nonexpansive in the intermediate sense was introduced by Bruck et ...known 3 that if K is a nonempty closed convex bounded subset of a uniformly convex ... See full document
17
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 ... See full document
10
A strong convergence theorem for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings
... Recently, some authors considered the problem of extending Theorem MYX to a Banach space. In this paper, we consider, in the framework of Banach spaces, the problem of mod- ifying the Halpern iteration by hybrid ... See full document
16
On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings
... every nonexpansive mapping is asymptotically nonexpansive with the asymptotical sequence ...of asymptotically nonexpansive mappings was introduced by Goebel and Kirk 2 in ... See full document
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