Ishikawa Iteration
The new modified Ishikawa iteration method for the approximate solution of different types of differential equations
... modified Ishikawa iteration method in solving linear and nonlinear differential equations and justify the accuracy and efficiency of the method presented in this paper, we consider the following ...of ...
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Complex and Inverse Complex Dynamics of Fractals using Ishikawa Iteration
... z z c , for n 2 , and analysed the z plane fractal images for the first function and c plane fractal images for the second function, generated from Ishikawa iterations of these functions using ...
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The equivalence between the convergences of Mann and Ishikawa iteration methods with errors for demicontinuous φ strongly accretive operators in uniformly smooth Banach spaces
... Mann iteration method and the Ishikawa iteration method with errors for demicontinuous φ-strongly accretive operators in uniformly smooth Banach ...Mann iteration method and the ...
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On the Ishikawa iteration processes for multivalued mappings in some CAT(κ) spaces
... Now, we prove the strong convergence of the Ishikawa iteration process defined by (A). Theorem . Let (X, d) be a complete CAT() space with convex metric and diam(X) < π /, E be a nonempty closed ...
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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 modified ...
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Data Dependence for Ishikawa Iteration When Dealing with Contractive-Like Operators
... by using a Matlab program. This leads us to “conclude” that Ishikawa iteration applied to S converges to fixed point, x ∗ 1. Eventually, one can see that the distance between the two fixed points is one. ...
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The equivalence of Mann iteration and Ishikawa iteration for ψ uniformly pseudocontractive or ψ uniformly accretive maps
... Mann iteration converges, then so does the Ishikawa ...and Ishikawa iterations for several classes of ...Mann iteration is equivalent to the convergence of Ishikawa iteration, ...
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On the equivalence of Mann and Ishikawa iteration methods
... A reasonable conjecture is that, whenever T is a function for which Mann iteration converges, so does the Ishikawa iteration. Given the large variety of functions and spaces, such a global statement ...
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On the error estimation and T stability of the Ishikawa iteration for strongly demicontractive mappings
... of Ishikawa iteration and prove some convergence theorems of Ishikawa iteration for strongly demicontractive mappings, and then some examples are given to compare Ishikawa it- eration ...
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The equivalence of Mann iteration and Ishikawa iteration for non Lipschitzian operators
... Theorem 2.3 [10] . Let K be a closed convex (not necessary bounded) subset of an arbitrary Banach space X and let T be a Lipschitzian pseudocontrac- tive selfmap of K . We consider Mann iteration and ...
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Stability of the Ishikawa iteration scheme with errors for two strictly hemicontractive operators in Banach spaces
... The main purpose of this paper is to establish the convergence, almost common-stability and common-stability of the Ishikawa iteration scheme with error terms in the sense of Xu [] for two Lipschitz ...
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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 ...
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Convergence and stability of modified Ishikawa iteration sequence with errors
... modified Ishikawa iteration sequence with errors converging strongly to a fixed point of the uniformly Lipschitzian strongly succes- sively pseudocontractive mapping under the lack of some ...modified ...
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Random Ishikawa Iteration Scheme of Two Random Operators
... The existence of common fixed points of two commuting and noncommuting maps has been studied by several au- thors (see, for example, [1] and [7]). Unfortunately, the existence results of common fixed points are not known ...
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Two Step Modified Ishikawa Iteration Scheme for Multi-Valued Mappings in CAT(0) Space
... and Ishikawa iteration schemes for multi- valued mappings and proved that these schemes for a multi-valued map T with a fixed point p converges to a fixed point q of T under certain ...the iteration ...
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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 [7, Lemma ...
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Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators
... Based on Definition 1.3, Berinde [3] compared the Picard and Mann iterations of the class of Zamfirescu operators defined on a closed convex subset of a uniformly convex Banach space and concluded that the Picard ...
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Strong convergence theorems and rate of convergence of multi-step iterative methods for continuous mappings on an arbitrary interval
... and Ishikawa iterations to a solution of ...the Ishikawa iteration converges fas- ter than the Mann iteration for the class of continuous and nondecreasing ...Mann iteration of ...
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On the rate of convergence of Noor, SP and P-iterations for continuous functions on an arbitrary interval
... and Ishikawa iterations are equivalent for the class of Zamfirescu op- ...Mann iteration converges faster than Ishikawa iteration, but the claim is false,see Qing and Rhoades ...Mann, ...
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Demiclosedness principle and approximation theorems for certain classes of multivalued mappings in Hilbert spaces
... In recent years, several works have been done on the approximation of fixed points of multivalued nonexpansive mappings by many authors (see, for example, [–] and ref- erences therein). Different iterative schemes have ...
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