Results 31 to 40 of about 944,809 (221)
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
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
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 ...
Kotarski, Wiesław +2 more
openaire +3 more sources
On Multistep Iterative Scheme for Approximating the Common Fixed Points of Contractive-Like Operators [PDF]
, 2010 We introduce the Jungck-multistep iteration and show that it converges strongly to the unique common fixed point of a pair of weakly compatible generalized contractive-like operators defined on a Banach space.
Akewe, H, Olaleru, J.O.
core +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
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
doaj +1 more source
Global Continuous Optimization with Error Bound and Fast Convergence [PDF]
, 2015 This paper considers global optimization with a black-box unknown objective function that can be non-convex and non-differentiable. Such a difficult optimization problem arises in many real-world applications, such as parameter tuning in machine learning,
Kawaguchi, Kenji +2 more
core +2 more sources
Convergence and stability of modified Ishikawa iteration sequence with errors
Fixed Point Theory and Applications, 2014 We show some stability and convergence theorems of the modified Ishikawa iterative sequence with errors for a strongly successively pseudocontractive and strictly asymptotically pseudocontractive mapping in a real Banach space.
Li-ping Yang, Shiguo Peng
semanticscholar +2 more sources
An application of proof mining to nonlinear iterations
, 2014 In this paper we apply methods of proof mining to obtain a highly uniform effective rate of asymptotic regularity for the Ishikawa iteration associated to nonexpansive self-mappings of convex subsets of a class of uniformly convex geodesic spaces ...
Leustean, Laurentiu
core +1 more source
GENFIRE: A generalized Fourier iterative reconstruction algorithm for high-resolution 3D imaging [PDF]
, 2017 Tomography has made a radical impact on diverse fields ranging from the study of 3D atomic arrangements in matter to the study of human health in medicine.
Chiu, Wah +9 more
core +3 more sources