Ishikawa Iteration Process
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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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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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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Weak and Strong Convergence Theorems for Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense
... of Ishikawa iteration process for the class of asymptotically κ-strict pseudocontractive mappings in the intermediate sense which is not necessarily ...
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Strong convergence for asymptotically nonexpansive mappings in the intermediate sense
... modified Ishikawa iteration process when T is an ANI self-mapping such that T(C) is contained in a compact subset of C, which generalizes the result due to Takahashi and Kim ...
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On rate of convergence of various iterative schemes
... Remark 7 . In [9], Qing and Rhoades, by taking a counter example, showed that the Ishikawa iteration process is faster than the Mann iteration process for Zamfirescu operators. Thus, ...
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Strong convergence theorems for multivalued $alpha$-demicontractive and $alpha$-hemicontractive mappings
... In this paper, we introduce multivalued α -demicontractive and α -hemicontractive mappings and prove strong convergence theorems using Mann and Ishikawa iteration process in Hilbert spaces. We ...
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On the Ishikawa iteration processes for multivalued mappings in some CAT(κ) spaces
... an Ishikawa iteration process for multi- valued mappings was proved by Sastry and Babu [] in a Hilbert ...the Ishikawa iteration processes for multivalued mappings has been rapidly ...
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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 to approximate ...
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On solving Lipschitz pseudocontractive operator equations
... the Ishikawa iteration process was proved to converge to a fixed point of a Lipschitz pseudocontractive mapping in compact convex subsets of a Hilbert space, we imposed no compactness conditions to ...
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New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces
... modify Ishikawa iteration process for finding a common element of the solution set of an equilibrium problem and the set of fixed points of a relatively nonexpansive mapping by applying the hybrid ...
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Demiclosedness principle and approximation theorems for certain classes of multivalued mappings in Hilbert spaces
... Theorem Let K be a nonempty closed and convex subset of a real Hilbert space X. Sup- pose that T : K → P(K) is an L-Lipschitzian pseudocontractive-type mapping from K into the family of all proximinal subsets of K such ...
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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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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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New Fangled Mandelbrot and Julia Sets for Logarithmic Function
... For non integer values, the new lobe is created step by step as it passes to upper integer (ceil) value. From observation and figure shown above, i.e. for n=2, number of lobe is 1 (n-1), as the value of n is increased to ...
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The equivalence between the Mann and Ishikawa iterations dealing with generalized contractions
... Mann iteration is equivalent to the convergence of Ishikawa iteration, used to approximate fixed points of a map which satisfies condition ...and Ishikawa iterations when applied to ...
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8. Strong Convergence Results for the Jungck-Ishikawa and Jungck-Mann Iteration Processes
... Later, the results of Rhoades [21, 22] were extended by Berinde [2] to an arbitrary Banach space for the same fixed point iteration processes. Several other researchers such as Bosede [3, 4] and Rafiq [19, 20] ...
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Strong convergence theorems and rate of convergence of multi-step iterative methods for continuous mappings on an arbitrary interval
... In Example 3.7, the mapping T is continuous on [-7,7] but it not differentiable at x = -4 and x = 5. In Table 2, we observe that the K (T,12) -iteration and W (T,12) -iteration with the initial point is x = ...
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On an open problem of Kyung Soo Kim
... Mann iteration scheme for a uniformly L-Lipschitzian asymptotically demicontractive mapping in a CAT( κ ) space with κ > ...the Ishikawa iteration scheme for a uniformly L-Lipschitzian ...
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An inertial S-iteration process
... this iteration process for finding common fixed points of two G-nonexpansive mappings in a uniformly convex Banach ...S-iteration process, it should be combined with the inertial ex- trapolation ...
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