Results 11 to 20 of about 953,111 (222)
Journal of Inequalities and Applications, 2019 In this paper, some new formula of error estimations of Ishikawa iteration and some strong convergence theorems of strongly demicontractive mappings are first obtained.
Chao Wang, Xueli Li, Pengkun Huang
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Convergence of the Ishikawa Iteration Process for Nonexpansive Mappings
Journal of Mathematical Analysis and Applications, 1996 Let \(D\) be a subset of a normed space \(X\) and \(T: D\to X\) be a nonexpansive mapping. Given a sequence \(\{x_n\}\) in \(D\) and two real sequences \(\{t_n\}\) and \(\{s_n\}\) satisfying \hskip17mm (i) \(0\leq t_n\leq t< 1\) and \(\sum^\infty_{n= 1} t_n= \infty\), \hskip17mm (ii) \(0\leq s_n\leq 1\) and \(\sum^\infty_{n= 1} s_n< \infty ...
L. Deng
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ON COMPARISON OF SOLUTION OF ORDINARY DIFFERENTIAL EQUATION WITH HAAR WAVELET METHOD AND THE MODIFIED ISHIKAWA ITERATION METHOD [PDF]
Journal of Science and Arts, 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.
Yasemin Bakır, Oya Mert, Özlem Orhan
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Journal of dynamical and control systems, 2023 The fact that very small changes cause unpredictable big changes in nature has led to the chaos theory. Many researchers focusing on chaos have improved this theory in several directions.
D. Sekman, V. Karakaya
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African Scientific Reports, 2022 The paper analyzes the convergence of Ishikawa iteration to the fixed point of a class of '-quasinonexpansive mappings in uniformly convex Banach spaces, as well as the stability of the Ishikawa iteration used in approximating the fixed point.
F. D. Ajibade +3 more
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International Journal of Mathematics and Mathematical Sciences, 2004 We show that the Ishikawa iteration and the corresponding Mann iteration are equivalent when applied to ψ-uniformly pseudocontractive or ψ-uniformly accretive maps.
B. E. Rhoades, Ştefan M. Şoltuz
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The Convergence of Ishikawa Iteration for Generalized Φ-contractive Mappings
Results in Nonlinear Analysis, 2021 Charles[1] proved the convergence of Picard-type iterative for generalized Φ−accretive non-self mappings in a real uniformly smooth Banach space. Based on the theorems of the zeros of strongly Φ−quasi-accretive and fixed points of strongly Φ−hemi ...
Linxin Li, Dingping Wu
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, 2013 In this article, the new Ishikawa iteration method is presented to find the approximate solution of an ordinary differential equation with an initial condition.
N. Bildik, Yasemin Bakır, A. Mutlu
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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 [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We investigate the equivalence between the convergences of the Mann iteration method and the Ishikawa iteration method with errors for demicontinuous φ-strongly accretive operators in uniformly smooth Banach spaces.
Zeqing Liu +3 more
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Fixed point Ishikawa iterations
Journal of Mathematical Analysis and Applications, 1992 If \(J\) is the closed unit inverval, with \(T\) a selfmap of \(J\), the Ishikawa iterates of \(T\) are defined by \(u_{n+1}=[(1-\alpha_ n)u_ n+\alpha_ nT[(1-\beta_ n)u_ n+b_ n Tu_ n]]\) with \(u_ 0\in J\) and \(\{\alpha_ n\}\), \(\{\beta_ n\}\) satisfying the three conditions \[ \text{(a)} \quad 0\leq \alpha_ n\leq \beta_ n\leq 1, \qquad \text{(b ...
Kalinde, Albert K, Rhoades, B.E
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