Results 31 to 40 of about 269,682 (199)
Polynomiography via Ishikawa and Mann Iterations [PDF]
, 2012 The aim of this paper is to present some modifications of the complex polynomial roots finding visualization process. In this paper Ishikawa and Mann iterations are used instead of the standard Picard iteration. The name polynomiography was introduced by Kalantari for that visualization process and the obtained images are called polynomiographs ...
Wieslaw Kotarski +2 more
openaire +4 more sources
Ishikawa's iterations of real Lipschitz functions [PDF]
Bulletin of the Australian Mathematical Society, 1992 In this paper, we consider Ishikawa's iteration scheme to compute fixed points of real Lipschitz functions. Two general convergence theorems are obtained. Our results generalise the result of Hillam.
Deng, Lei, Ding, Xie Ping
openaire +2 more sources
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
doaj +1 more source
Ishikawa Iterates for Logarithmic Function
International Journal of Computer Applications, 2011 ABSTRACT In this paper the dynamics of the complex logarithmic function is investigated using the Ishikawa iterates. The fractal images generated from the generalized transformation function z z c log( ) n , n 2 are analyzed. Keywords : . : Complex dynamics, Relative Superior Mandelbrot Set, Relative Superior Julia set, Ishikawa Iteration and Midgets ...
Ashish Negi +2 more
openaire +1 more source
Dual convergences of iteration processes for nonexpansive mappings in Banach spaces [PDF]
, 1974 summary:In this paper we establish a dual weak convergence theorem for the Ishikawa iteration process for nonexpansive mappings in a reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm, and then apply this result to ...
Jung, Jong Soo +3 more
core +1 more source
Iterative Schemes of Mean Nonexpansive Mapping
Journal of Harbin University of Science and Technology, 2021 Based on Mann iteration, Ishikawa iteration and some other twostep iteration, threestep iteration methods, two new fourstep iteration schemes and one nstep iteration are constructed.
CUI Yunan , ZHANG Jiaxing
doaj +1 more source
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
openaire +2 more sources
Equivalence of Certain Iteration Processes Obtained by Two New Classes of Operators
Mathematics, 2021 The aim of this paper is two fold: the first is to define two new classes of mappings and show the existence and iterative approximation of their fixed points; the second is to show that the Ishikawa, Mann, and Krasnoselskij iteration methods defined for
Mujahid Abbas +2 more
doaj +1 more source
A remark on Ishikawa iteration
Chinese Science Bulletin, 1997 The Ishikawa iterative process associated to a continuous strongly pseudocontractive map is shown to converge, in a strong sense, towards the fixed point of that map.
openaire +2 more sources
Convergence of Ishikawa Iteration Process for General Class of Function [PDF]
, 2013 In this paper, we introduce a general class of function and prove the convergence result of Ishikawa iteration considered in Banach ...
Narasimham, K.V. +2 more
core +1 more source