Results 1 to 10 of about 255 (124)
Zenali Iteration Method For Approximating Fixed Point of A δZA - Quasi Contractive mappings
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021 This article will introduce a new iteration method called the zenali iteration method for the approximation of fixed points. We show that our iteration process is faster than the current leading iterations like Mann, Ishikawa, oor, D- iterations, and *-
Zena Hussein Maibed, Ali Qasem Thajil
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Common Fixed Point Theorems on Weakly Contractive and Nonexpansive Mappings
Fixed Point Theory and Applications, 2008 A family of commuting nonexpansive self-mappings, one of which is weakly contractive, are studied. Some convergence theorems are established for the iterations of types Krasnoselski-Mann, Kirk, and Ishikawa to approximate a common fixed point. The error
Jian-Zhong Xiao, Xing-Hua Zhu
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Fixed Point Theory and Applications, 2008 The purpose of this paper is to compare convergence speed of the Picard and Mann iterations on one hand, Krasnoselskij and Ishikawa iterations on the other hand, for the class of Zamfirescu operators. The results improve corresponding results of (Berinde
Zhiqun Xue
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Remarks of Equivalence among Picard, Mann, and Ishikawa Iterations in Normed Spaces
Fixed Point Theory and Applications, 2007 We show that the convergence of Picard iteration is equivalent to the convergence of Mann iteration schemes for various Zamfirescu operators. Our result extends of Soltuz (2005).
Zhiqun Xue
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IEEE Access, 2020 Due to the uniqueness and self-similarity, fractals became most attractive and charming research field. Nowadays researchers use different techniques to generate beautiful fractals for a complex polynomial zn + c.
Hengxiao Qi +3 more
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Multistep-type construction of fixed point for multivalued ρ-quasi-contractive-like maps in modular function spaces [PDF]
Arab Journal of Mathematical Sciences, 2021 Purpose – In this paper, the explicit multistep, explicit multistep-SP and implicit multistep iterative sequences are introduced in the context of modular function spaces and proven to converge to the fixed point of a multivalued map T such that PρT, an ...
Hudson Akewe, Hallowed Olaoluwa
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Convergence Rate of Some Two-Step Iterative Schemes in Banach Spaces
Journal of Mathematics, 2016 This article proves some theorems to approximate fixed point of Zamfirescu operators on normed spaces for some two-step iterative schemes, namely, Picard-Mann iteration, Ishikawa iteration, S-iteration, and Thianwan iteration, with their errors.
O. T. Wahab +3 more
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Journal of Numerical Analysis and Approximation Theory, 2005 The Mann-Ishikawa iterations and the Mann-Ishikawa iterations with errors are equivalent models for several classes of non-Lipschitzian operators.
B. E. Rhoades, Ştefan M. Şoltuz
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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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The equivalence between the T-stabilities of modified Mann-Ishikawa and Mann-Ishikawa iterations
Journal of Numerical Analysis and Approximation Theory, 2006 We show that all \(T\)-stabilities of Mann-Ishikawa iterations and modified Mann-Ishikawa iterations are equivalent.
Ştefan M. Şoltuz
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