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Iterative and fixed point common belief
Journal of Philosophical Logic, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Iterative construction of fixed points
Numerical Functional Analysis and Optimization, 1996Abstract, It is proved that an Ishikawa—type iteration scheme converges to the fixed point of a generalized contraction map in a convex metric space. The class of generalized contraction maps includes all quasi—contraction maps.
S.N. Mishra, A.K. Kalinde
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Fixed Point Iterations and Global Stability in Economics
Mathematics of Operations Research, 1985Stability is studied from the point of view of ordinary Picard iteration in a metric space. The Convergence Theorem proved here states that a sequence of Picard iterates converges if the mapping in question is a proper convex combination of a contraction (nonexpansive mapping) and the identity.
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Fixed point theorems for mappings with lipschitzian iterates
Nonlinear Analysis: Theory, Methods & Applications, 1992The 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, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A modified fixed point iteration method for solving the system of absolute value equations
Optimization, 2022Dongmei Yu, Deren Han
exaly
Hydraulic Analysis of Water Distribution Systems Based on Fixed Point Iteration Method
Water resources management, 2017Hui Zhang +4 more
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