The equivalence between T-stabilities of Krasnoselskij and Ishikawa iterations [PDF]
Journal of Numerical Analysis and Approximation Theory, 2008 We prove the equivalence between the \(T\)-stabilities of Krasnoselskij and Ishikawa iterations; a consequence is the equivalence with the \(T\)-stability of Picard-Banach iteration.
Ştefan M. Şoltuz
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Journal of Inequalities and ApplicationsIn the context of modular function spaces, we propose and investigate the Fibonacci-Ishikawa iteration method applied to non-expansive, asymptotically monotonic mathematical operators.
Anita Tomar +4 more
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Equivalence of the convergences of T-Picard, T-Mann and T-Ishikawa iterations for the class of T-Zamfirescu operators [PDF]
Le Matematiche, 2014 In this paper, we prove the equivalence between the convergences of T-Picard iteration, T-Mann iteration and T-Ishikawa iteration for the class ofT-Zamfirescu operators in normed linear spaces.
Priya Raphael, Shaini Pulickakunnel
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Comparison of fastness of the convergence among Krasnoselskij, Mann, and Ishikawa iterations in arbitrary real Banach spaces [PDF]
Fixed Point Theory and Applications, 2007 Let E be an arbitrary real Banach space and K a nonempty, closed, convex (not necessarily bounded) subset of E. If T is a member of the class of Lipschitz, strongly pseudocontractive maps with Lipschitz constant L≥1, then it is shown that to each ...
K. N. V. V. Vara Prasad, G. V. R. Babu
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Two Step Modified Ishikawa Iteration Scheme for Multi-Valued Mappings in CAT(0) Space
International Journal of Analysis and Applications, 2013 The aim of this paper is to prove some strong convergence theorems for the modified Ishikawa iteration scheme involving quasi-nonexpansive multi-valued mappings in the framework of CAT(0) spaces.
Pankaj Kumar Jhade, A. S. Saluja
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Comparison of the Rate of Convergence among Picard, Mann, Ishikawa, and Noor Iterations Applied to Quasicontractive Maps [PDF]
Fixed Point Theory and Applications, 2010 We provide sufficient conditions for Picard iteration to converge faster than Krasnoselskij, Mann, Ishikawa, or Noor iteration for quasicontractive operators.
Xue Zhiqun, Rhoades BE
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On the boundedness of the associated sequence of Mann iteration for several operator classes with applications [PDF]
Journal of Numerical Analysis and Approximation Theory, 2005 We prove that the associated sequence of Mann iteration is decreasing and hence bounded provided that the operator satisfies minimal assumptions. In particular we obtain for a nonexpansive operator that the associated sequence of Ishikawa iteration is ...
Ştefan M. Şoltuz
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ON COMPARISON OF SOLUTION OF ORDINARY DIFFERENTIAL EQUATION WITH HAAR WAVELET METHOD AND THE MODIFIED ISHIKAWA ITERATION METHOD [PDF]
, 2022 In this study, we have used a newly modified Ishikawa iteration method and the Haar wavelet method to solve an ordinary linear differential equation with initial conditions.
Mert, Oya, Bakir, Yasemin, Orhan, Ozlem
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Approximating fixed points by ishikawa iterates [PDF]
Bulletin of the Australian Mathematical Society, 1989 In a uniformly convex Banach space the convergence of Ishikawa iterates to a fixed point is discussed for nonexpansive and generalised nonexpansive mappings.
Maiti, M., Ghosh, M. K.
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On the Mann and Ishikawa iteration processes [PDF]
Abstract and Applied Analysis, 1996 It is shown that a result of Chidume, involving the strong convergence of the Mann iteration process for continuous strongly accretive operators, is actually a corollary to a result by Nevanlinna and Reich. It is then shown that the Nevanlinna and Reich result can be extended to the case of an Ishikawa iteration process.
Jia Yuting, Zhou Haiyun
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