[PDF] Top 20 Convergence and summable almost T stability of the random Picard Mann hybrid iterative process
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Convergence and summable almost T stability of the random Picard Mann hybrid iterative process
... the random Picard-Mann hybrid iterative process ...summably almost T -stable a.s., where T is the generalized random ϕ- contractive type operator ... See full document
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Fixed point problems of the Picard-Mann hybrid iterative process for continuous functions on an arbitrary interval
... ‘Picard-Mann hybrid iterative process’ for finding a fixed point of continuous functions on an arbitrary ...for convergence of this iteration for continuous functions on an ... See full document
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Modified Picard-Mann hybrid iteration process for total asymptotically nonexpansive mappings
... iteration process for nonexpansive mappings, which he called ‘Picard-Mann hybrid iteration process’ and claimed that this process is independent of Picard and Mann ... See full document
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New approximation methods for solving elliptic boundary value problems via Picard-Mann iterative processes with mixed errors
... discussed stability of the iterative sequence generated by the algorithm for solving the investigated ...obtained stability results for the Picard-Mann hybrid iterative ... See full document
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A modified Picard-Mann hybrid iterative algorithm for common fixed points of countable families of nonexpansive mappings
... iteration process is not easily attainable, which will leads to gradually increas- ing ...strong convergence theorems for solving some variational inequality problems and hierarchical fixed point problems ... See full document
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On Stability of Iterative Sequences with Error
... and Picard-Mann iteration with error iterative processes converge strongly to the unique fixed point of Lipschitzian strongly pseudo-contractive ...This convergence is almost F-stable ... See full document
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Convergence and almost sure T stability for a random iterative sequence generated by a generalized random operator
... of convergence of different random iterative processes constructed for var- ious random operators is a recent development (see [–] and references mentioned ...the almost sure T ... See full document
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Convergence and (S,T )- Stability Almost Surely for Random Jungck-Noor Type Iterative Scheme with Convergence Comparison
... 1953, Mann [9] introduced the one step iterative scheme and used it to prove the fixed point results defined for the non-expansive mappings where Picard iteration scheme is not ...step ... See full document
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Convergence and stability theorems for the Picard-Mann hybrid iterative scheme for a general class of contractive-like operators
... the hybrid scheme (Picard-Mann scheme ...of Picard (.), Mann (.) and Ishikawa [] iterative schemes in the sense of Berinde [] for ...strong convergence and weak ... See full document
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A Picard-Mann hybrid iterative process
... new iterative process which can be seen as a hybrid of Picard and Mann iterative ...new process converges faster than all of Picard, Mann and Ishikawa ... See full document
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Strong Convergence Theorems of a New General Iterative Process with Meir-Keeler Contractions for a Countable Family of -Strict Pseudocontractions in -Uniformly Smooth Banach Spaces
... Lemma 2.4 see 16, Lemmas 3.1, 3.3. Let E be real smooth and strictly convex Banach space, and C be a nonempty closed convex subset of E which is also a sunny nonexpansive retraction of E. Assume that T : C → E is ... See full document
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On Multistep Iterative Scheme for Approximating the Common Fixed Points of Contractive Like Operators
... Observe that the Jungck-multistep iteration is a generalization of the Jungck-Noor, Jungck-Ishikawa and the Jungck-Mann iterations. In fact, if k 1 in 2.6, we have the Jungck- Mann iteration 2.3, if k 2 in ... See full document
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Strong Convergence Theorems for a Finite Family of Nonexpansive Mappings
... interval [0, 1]. But Mann’s iteration process has only weak convergence, in general. For example, Reich [4] shows that if E is a uniformly convex Banach space and has a Frehet differentiable norm and if the ... See full document
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Splitting methods for treating strictly pseudocontractive and monotone operators in Hilbert spaces
... Corollary 2.2. Let C be a nonempty closed convex subset of a real Hilbert space H. Let A : C → H be an α -inverse-strongly monotone mapping and let B be a maximal monotone operator on H. Let f : C → C be a κ-contractive ... See full document
17
On Equivalence of Some Iterations Convergence for Quasi-Contraction Maps in Convex Metric Spaces
... and T : E → E a mapping for which there exist the real numbers a, b, and c satisfying a ∈ 0, 1, b, c ∈ 0, 1/2 such that, for any pair x, y ∈ E, at least one of the following conditions ... See full document
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Convergence Theorems of Fixed Points for a Finite Family of Nonexpansive Mappings in Banach Spaces
... of T this is also valid in a uniformly convex Banach space with the Fr´echet differentiable norm ...normal Mann iteration algorithm has only weak convergence, in general, even for nonexpansive ... See full document
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S iteration process for quasi contractive mappings
... S-iteration process due to Sahu and Petrusel (Nonlinear ...the Picard, Mann, Ishikawa and Noor iteration processes for Zamfirescu ...the convergence rate of iterative processes due to ... See full document
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Strong convergence of the Mann iterative sequence for demicontractive maps in Hilbert spaces
... strong convergence of the Mann iteration sequence to a fixed point of a demicontractive map T, and the existence of a non-zero solution of a certain variational ...Suppose T satisfies the ... See full document
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On the role of the coefficients in the strong convergence of a general type Mann iterative scheme
... = τ (I – S)x ∗ + Dx ∗ , x ∗ – p ≤ since x ∗ is the solution of (.) . Remark . Let us remark that, in the study of the behavior of (x n ) n∈N for τ ∈ [, + ∞ ), the set of fixed points of S never appears; all the ... See full document
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Stability Results for Iteration Procedures using Integral Type Contraction Conditions
... [23] M. Urabe, "Convergence of numerical iteration in solution of equations", J Sci Hirishima Univ Sér A. 19, pp. 479–489, 1956. [24] P. Vijayaraju, B. E. Rhoades, and R. Mohanraj, "A fixed point ... See full document
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