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[PDF] Top 20 On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings

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On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings

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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1. Convergence theorems of fixed point for generalized
                              asymptotically quasi-nonexpansive mappings in  Banach spaces

1. Convergence theorems of fixed point for generalized asymptotically quasi-nonexpansive mappings in Banach spaces

... the convergence of common fixed point for generalized asymptotically quasi-nonexpansive mappings in real Banach spaces and give the necessary and sufficient condition for ... See full document

11

Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces

Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces

... an implicit iterative process with errors converges strongly to a com- mon fixed point for a finite family of generalized asymptotically quasi-nonexpansive mappings ... See full document

14

Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces

Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces

... strong convergence of the multi-step iterative algorithm with errors for a finite family of generalized asymptotically quasi-nonexpansive mappings to converge to common ... See full document

12

Convergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings

Convergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings

... the convergence and the almost sure T −stability of the modified SP-type random iterative algorithm in a separa- ble Banach ...the convergence and the almost sure T −stability for this kind of ... See full document

13

3. An implicit iteration scheme with errors for Common fixed points
of generalized asymptotically quasi-nonexpansive mappings

3. An implicit iteration scheme with errors for Common fixed points of generalized asymptotically quasi-nonexpansive mappings

... for convergence of common fixed point for three-step iteration scheme with errors for generalized asymptotically quasi-nonexpansive ... See full document

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Convergence Theorems of an Implicit Iterates with Errors for Non-Lipschitzian Asymptotically  Quasi-Nonexpansive Type Mappings

Convergence Theorems of an Implicit Iterates with Errors for Non-Lipschitzian Asymptotically Quasi-Nonexpansive Type Mappings

... of asymptotically quasi-nonexpansive mapping and general implicit iterative process and without the boundedness of C which in turn generalizes Theorem 2 by Wittmann [21] from ... See full document

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Convergence of a hybrid iterative method for finite families of generalized quasi-ϕ-asymptotically nonexpansive mappings

Convergence of a hybrid iterative method for finite families of generalized quasi-ϕ-asymptotically nonexpansive mappings

... every nonexpansive mapping with a fixed point is quasi-nonexpansive and all asymptotically nonexpansive maps with fixed points are asymptotically ...of generalized ... See full document

12

Viscosity approximation method for generalized asymptotically quasi-nonexpansive mappings in a convex metric space

Viscosity approximation method for generalized asymptotically quasi-nonexpansive mappings in a convex metric space

... various mappings through different iterative methods have been obtained by a number of authors ...iteration process, the interested reader is referred to Berinde [] and Ciric [, ... See full document

13

Weak and Strong Convergence of an Implicit Iteration Process for an Asymptotically Quasi--Nonexpansive Mapping in Banach Space

Weak and Strong Convergence of an Implicit Iteration Process for an Asymptotically Quasi--Nonexpansive Mapping in Banach Space

... the implicit iterative process, defined in 16, to I -asymptotically quasi-nonexpansive mapping defined on a uniformly convex Banach ...an asymptotically quasi ... See full document

13

Common Fixed Point Iterations of  Generalized Asymptotically  Quasi Nonexpansive Mappings in  Hyperbolic Spaces

Common Fixed Point Iterations of Generalized Asymptotically Quasi Nonexpansive Mappings in Hyperbolic Spaces

... general iterative method for a finite family of generalized asymptotically quasi- nonexpansive mappings in a hyperbolic space and study its strong ...new iterative method ... See full document

6

Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces

Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces

... an implicit iterative process with errors converges weakly and strongly to a common fixed point of a finite family of asymptotically quasi-nonexpansive mappings on ... See full document

11

An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings

An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings

... linear mappings and its approximation algorithms constitutes a topic of intensive research ...are iterative in their ...sive mappings, see, for example, ... See full document

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A new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spaces

A new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spaces

... a nonexpansive mapping. The fixed point property for generalized asymptotically nonexpansive single-valued mappings can be found in ...a generalized asymptotically ... See full document

14

New Iterative Schemes for Asymptotically Quasi Nonexpansive Mappings

New Iterative Schemes for Asymptotically Quasi Nonexpansive Mappings

... above iterative processes include many iterative processes as special cases and he gave a sufficient and necessary condition for the iterative sequence to converge to the common fixed points for two ... See full document

9

Convergence of perturbed composite implicit iteration process for a finite family of asymptotically nonexpansive mappings

Convergence of perturbed composite implicit iteration process for a finite family of asymptotically nonexpansive mappings

... above iterative processes defined by ()-() and ()-(), we know that the it- erative process () improves and extends some iterative process introduced by the recent ...the iterative ... See full document

12

General composite implicit iteration process for a finite family of asymptotically pseudo-contractive mappings

General composite implicit iteration process for a finite family of asymptotically pseudo-contractive mappings

... is asymptotically pseudo-contractive mapping with constant sequence {  } ...The iterative approximation problems for a nonexpansive mapping, an asymptotically nonexpansive mapping, and ... See full document

15

On generalized asymptotically quasi-ϕ-nonexpansive mappings and a Ky Fan inequality

On generalized asymptotically quasi-ϕ-nonexpansive mappings and a Ky Fan inequality

... on iterative methods; see [–]. In this paper, we investigate generalized asymptoti- cally quasi-φ-nonexpansive mappings and problem ...strong convergence theorem for common ... See full document

15

Convergence of algorithms for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings with applications

Convergence of algorithms for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings with applications

... the process is executed directly in the underlying infinite dimensional ...weak convergence of Krasnoselski-Mann iterative process, so called hybrid projections have been considered (see ... See full document

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Strong convergence theorems for fixed points of generalized asymptotically quasi-φ-nonexpansive mappings

Strong convergence theorems for fixed points of generalized asymptotically quasi-φ-nonexpansive mappings

... the convergence of various iterative processes for solving various non- linear mathematical models forms the major part of numerical ...these iterative processes, Krasnoselski-Mann iterative ... See full document

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