Results 51 to 60 of about 582 (150)
On Equivalence of Some Iterations Convergence for Quasi-Contraction Maps in Convex Metric Spaces
Fixed Point Theory and Applications, 2010 We show the equivalence of the convergence of Picard and Krasnoselskij, Mann, and Ishikawa iterations for the quasi-contraction mappings in convex metric spaces.
Rhoades BE, Xue Zhiqun, Lv Guiwen
doaj
An equivalence between the convergences of Ishikawa, Mann and Picard iterations
, 2003 We will show that the convergence of Picard iteration is equivalent to the convergence of Mann and Ishikawa iterations, when the operator is a contraction and aymptotic ...
Şolutuz, Ş. M.
core
Polynomiography for square systems of equations with Mann and Ishikawa iterations [PDF]
, 2016 In this paper we propose to replace the standard Picard iteration in the Newton–Raphson method by Mann and Ishikawa iterations. This iteration’s replacement influence the solution finding process that can be visualized as polynomiographs for the square ...
Lisowska, Agnieszka +2 more
core
Some sequences supplied by inequalities and their applications
Journal of Numerical Analysis and Approximation Theory, 2000 In order to prove the convergence of Ishikawa and Mann iterations, the convergence of one type of sequences is needed. Our purpose, in this note, is to give a new proof of the convergence for one of them. We also give generalizations for the sequences.
Ştefan M. Şoltuz
doaj +2 more sources
International Journal of Mathematics and Mathematical Sciences, 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.
J. O. Olaleru, H. Akewe
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Applications of Bregman-Opial Property to Bregman Nonspreading Mappings in Banach Spaces
Abstract and Applied Analysis, 2014 The Opial property of Hilbert spaces and some other special Banach spaces is a powerful tool in establishing fixed point theorems for nonexpansive and, more generally, nonspreading mappings. Unfortunately, not every Banach space shares the Opial property.
Eskandar Naraghirad +2 more
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The equivalence between the ( S , T ) - stabilities of Jungck-type iterative schemes. [PDF]
Heliyon, 2021 Akewe H, Olilima J, Eke KS.
europepmc +1 more source