Results 191 to 200 of about 944,809 (221)

An Ishikawa type iteration scheme in complete metric spaces

Numerical Functional Analysis and Optimization, 1998
In this paper we show the strong convergence of an Ishikawa type iteration for a pair of nonlinear contractive type mappings S,T in a complete metric space. If S = T, this reduces to the result due to Rhoades [5] in a Banach space setting. Further, we give an easy application on a complete metric space which is convex in the sense of Takahashi [6 ...
Tae Hwa Kim, Eun Suk Kim
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Fixed point theorems of modified Mann and Ishikawa iterations

Journal of Interdisciplinary Mathematics, 2020
In this paper, we prove fixed point results of asymptotically nonexpansive mappings in uniformly convex Banach spaces under Fibonacci-Mann and Ishikawa iterations also prove some results weak conve...
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Convergence of the Mann-Ishikawa iterative process for nonexpansive mappings

Nonlinear Analysis: Theory, Methods & Applications, 1982
Es sei X eine beschränkte, abgeschlossene und konvexe Teilmenge eines Banachraumes E, und \(f:X\to X\) sei nichtexpansiv (d.h. \(\| f(x)- f(y)\| \leq x-y\|\) für alle x,y\(\in X)\). Es wird nach Fixpunkten von f und ihrer Berechnung gefragt. Nach Mann und Ishikawa wird eine Iterationsfolge \(\{x_ n\}\) auf folgende Weise gebildet: Es sei \(x_ 1\in X ...
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Ishikawa iterative process for constructing solutions ofm-accretive operator equations

Applied Mathematics and Mechanics, 2002
The author discusses Ishikawa iterates for locally Lipschitz and \(m\)-accretive operators.
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Perturbed Ishikawa type iterative algorithm for generalized quasivariational inclusions

Applied Mathematics and Computation, 2003
The author considers a class of generalized nonlinear implicit quasivariational inclusions in a Hilbert space, which contains many classes of variational inclusions and variational inequalities. This problem is converted into a fixed point problem, so that the problem can be solved with the help of modified Ishikawa and Mann algorithms.
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Ishikawa’s Iterative Algorithm of Nonexpansive Mappings and Averaged Mappings

2013
In this paper we introduce and study Ishikawa’s iterative algorithm of nonexpansive mapping and averaged mappings in the setting of real Hilbert spaces. The main results presented in this paper extend the classic result of convergence of Mann’s iterative algorithm for nonexpansive mappings in the setting of Hilbert space and we prove the weak converge ...
Duan Qibin, Wang Erli, Wu Dingping, Xie Xuping   +3 more
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Convergence of Fixed Points for Relatively Nonexpansive Mappings via Ishikawa Iteration

International Journal of Applied and Computational Mathematics
V. Pragadeeswarar, R. Gopi, Choonki Park, Jung Rye Lee   +3 more
semanticscholar   +1 more source

Analysis of Jungck-Mann and Jungck-Ishikawa iteration schemes for their speed of convergence

, 2018
Naveen Kumar, S. S. Chauhan
semanticscholar   +1 more source

Ishikawa iteration for double sequences via predecessor paths and RH-regular matrix transforms

Advances in Fixed Point Theory
Sami M. Hamid, Richard F. Patterson
semanticscholar   +1 more source

Convergence theorems of the sequence of Ishikawa iterates

2005
Summary: We study some open questions posed by \textit{S.\,A.\thinspace Naimpally} and \textit{K.\,L.\thinspace Singh} [J.~Math.\ Anal.\ Appl.\ 96, 437--446 (1982; Zbl 0524.47033)] and prove convergence theorems for the sequence of Ishikawa iterates for quasicontractive and Lipschitzian hemi-contractive mappings.
Dubey, R. P., Singh, N. K.
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