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Iteration Near a Fixed Point

Journal of Applied Probability, 1975
An exposition is given of the properties of the iterates of complex functions near a fixed point, with explicit expressions for their power series in certain cases. The relevance to problems in genetics and statistics is pointed out.
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New strong convergence analysis for variational inequalities and fixed point problems

Optimization
In this paper, we obtain strong convergence results for solving variational inequality and fixed point problems using a combination of the Forward-Backward-Forward method and the Krasnoselkii–Mann iteration method with an inertial extrapolation step ...
C. Izuchukwu, Y. Shehu, Jen-Chih Yao
semanticscholar   +1 more source

Fixed point theorems for mappings with lipschitzian iterates

Nonlinear Analysis: Theory, Methods & Applications, 1992
The authors show new fixed point theorems for mappings with Lipschitzian iterates. Let \(C\) be a nonempty subset of a Banach space \(E\). A mapping \(T: C\to C\) is said to be uniformly Lipschitzian if \[ \| T^ n x- T^ n y\|\leq K\| x-y\|, \quad x,y\in C, \quad n=1,2,\ldots\;. \] holds for some \(K>0\).
Górnicki, Jarosław, Krüppel, Manfred
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Parallel asynchronous iterations of least fixed points

Parallel Computing, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The design of fixed-point iterations

Preprints of papers presented at the 13th national meeting of the Association for Computing Machinery on - ACM '58, 1958
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