[PDF] Top 20 Ishikawa iteration process with errors for nonexpansive mappings
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Ishikawa iteration process with errors for nonexpansive mappings
... 1. Introduction. Let C be a closed convex subset of a Banach space X and T : C → C be a nonexpansive mapping (i.e., T x−T y ≤ x −y for all x, y in C). Recently, Deng and Li [1] introduced an Ishikawa ... See full document
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3. An implicit iteration scheme with errors for Common fixed points of generalized asymptotically quasi-nonexpansive mappings
... More recently, Nantadilok [15] (Thai J. Math. 6(2) (2008), 297-308) extended and improved the result of Lan [11] and gave the necessary and sufficient condition for convergence of common fixed point for three-step ... See full document
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An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings
... and Ishikawa-type iterative algorithm (implicit and explicit) have been considered for the approximation of common fixed points of nonlinear mappings by many authors, see, for example, ...of ... See full document
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Ishikawa iteration process with errors for nonexpansive mappings in uniformly convex Banach spaces
... It has been shown that if C is a nonempty bounded closed convex subset of a uni- formly convex Banach space X, then every nonexpansive mapping T : C → C has a fixed point (see [2]). In this paper, we first extend ... See full document
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Ishikawa iteration process for asymptotic pointwise nonexpansive mappings in metric spaces
... Let (M, d) be a complete 2-uniformly convex metric space, C be a nonempty, bounded, closed and convex subset of M, and T be an asymptotic pointwise nonexpansive self mapping on C. In this paper, we define the ... See full document
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8. A common fixed point of Ishikawa iteration with errors for two quasi-nonexpansive multi-valued maps in Banach spaces
... It is clear that every nonexpansive multi-valued map T with F (T ) ̸ = ∅ is quasi- nonexpansive. But there exist quasi-nonexpansive mappings that are not nonex- pansive, see [12]. It is known ... See full document
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Weak and Strong Convergence of Multistep Iteration for Finite Family of Asymptotically Nonexpansive Mappings
... multistep iteration scheme with errors for finite family of asymptotically nonexpansive mappings is introduced and strong and weak convergence theorems of this scheme to common fixed point of ... See full document
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5.On convergence of a multi-step iteration process with errors for a finite family of quasi-nonexpansive multi-valued mappings
... and nonexpansive map- pings using the Hausdorff metric was initiated by Markin [6] and Nadler ...multi-valued mappings has applications in control theory, con- vex optimization, differential equations and ... See full document
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The modified S-iteration process for nonexpansive mappings in \(\operatorname{CAT}(\kappa)\) spaces
... of nonexpansive mappings in CAT() ...and Ishikawa iteration process involving one ...the Ishikawa-type iteration process involving two mappings in CAT() ... See full document
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Convergence and stability of modified Ishikawa iteration sequence with errors
... pseudocontractive mappings in their relation with iteration procedures has been studied by several researchers under suitable conditions; for more details, see [–] and the references ...of ... See full document
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Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces
... Since 1972, many authors have studied weak and strong convergence problem of the iterative sequences (with errors) for asymptotically nonexpansive mappings in Hilbert spaces and Banach spaces (see, ... See full document
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Convergence Theorems for the Unique Common Fixed Point of a Pair of Asymptotically Nonexpansive Mappings in Generalized Convex Metric Space
... the Ishikawa iteration process to approximate the common fixed point of mean nonexpansive mappings in uniformly convex Banach ...an Ishikawa type iteration process ... See full document
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Ishikawa Iterative Process for a Pair of Single-valued and Multivalued Nonexpansive Mappings in Banach Spaces
... single-valued nonexpansive mapping and a multivalued nonexpansive mapping, ...modified Ishikawa iteration method generated from an arbitrary x 0 ∈ E by y n 1 − β n x n β n z n , x n1 1 − α n x ... See full document
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Modified Picard-Mann hybrid iteration process for total asymptotically nonexpansive mappings
... nonexpansive mappings on a CAT(0) space. Results established in the paper extend and improve a number of results in the literature. A numerical example is also given to examine the fastness of the proposed ... See full document
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Strong Convergence Theorems for Infinitely Nonexpansive Mappings in Hilbert Space
... modified Ishikawa iterative process for approximating a fixed point of two infinitely nonexpansive self-mappings by using the hybrid method in a Hilbert space and prove that the modified ... See full document
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A new hybrid iteration method for a finite family of asymptotically nonexpansive mappings in Banach spaces
... iterative process to a common fixed point for a finite family of asymptotically nonexpansive mappings (or nonexpansive mappings) in Hilbert spaces or uniformly convex Banach spaces have ... See full document
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General composite implicit iteration process for a finite family of asymptotically pseudo-contractive mappings
... Senter and Dotson [] established a relation between condition (A) and demicompact- ness that the condition (A) is weaker than demicompactness for a nonexpansive mapping T defined on a bounded set. Every compact ... See full document
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An Iteration Method for Nonexpansive Mappings in Hilbert Spaces
... of nonexpansive map- pings stem mainly from the fact that it may be applied in many areas, such as imagine recovery and signal processing (see, ...of nonexpansive mappings have been studied by ... See full document
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On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings
... The purpose of this paper is to study the convergence of the implicit iteration process 1.18 for two finite families of generalized asymptotically quasi-nonexpansive mappings. Strong ... See full document
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Mixed type iteration for total asymptotically nonexpansive mappings in hyperbolic spaces
... pansive mappings and to prove some -convergence theorems of the mixed type itera- tion process for approximating a common fixed point of two asymptotically nonexpansive mappings and two total ... See full document
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