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Successive Averages of Firmly Nonexpansive Mappings
Mathematics of Operations Research, 1995The problem considered here is to find common fixed points of (possibly infinitely) many firmly nonexpansive selfmappings in a Hilbert space. For this purpose we use averaged relaxations of the original mappings, the averages being Bochner integrals with respect to chosen measures.
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Convergence of iterates of nonexpansive mappings and orbits of nonexpansive semigroups
Journal of Mathematical Analysis and Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grzesik, Aleksandra +3 more
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CONVERGENCE OF ITERATIVE SCHEMES FOR NONEXPANSIVE MAPPINGS
Asian-European Journal of Mathematics, 2011Let K be a nonempty closed convex subset of a real uniformly convex Banach space X and suppose T : K → K is a nonexpansive mapping with the nonempty fixed point set Fix(T). Let [Formula: see text], [Formula: see text] and [Formula: see text] be sequences in [0, 1] such that [Formula: see text][Formula: see text][Formula: see text] for some constants a,
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Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups
1997Summary: Let \(C\) be a closed, convex subset of a Banach space, let \(T\) be a nonexpansive mapping from \(C\) into itself such that the set \(F(T)\) of fixed points of \(T\) is nonempty and let \(\{T(t): t\geq 0\}\) be a nonexpansive semigroup on \(C\) such that the set \(\cap_{t\geq 0}F (T(t))\) of common fixed points of \(\{T(t): t\geq 0\}\) is ...
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On the Problem of Dissipative Perturbations of Nonexpansive Mappings
Applied Mathematics and Mechanics, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonexpansive maps and option pricing theory
Kybernetika, 1998Summary: The famous Black-Scholes (BS) and Cox-Ross-Rubinstein (CRR) formulas are basic results in the modern theory of option pricing in financial mathematics. They are usually deduced by means of stochastic analysis; various generalisations of these formulas were proposed using more sophisticated stochastic models for common stocks pricing evolution.
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