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On L-$$\omega $$-Nonexpansive Maps
Results in MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. S. Barroso +2 more
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Asymptotically nonexpansive mappings
Nonlinear Analysis: Theory, Methods & Applications, 1998This is a very interesting paper. The method used suggests an entirely new approach in the study of fixed points and related properties of asymptotically nonexpansive mappings. Let \(E\) be a Banach space and \(D\subseteq E\). We recall, if there exists a sequence of reals \(\{k_i\}\) with \(k_i\downarrow 1\) such that \(\|T^ix- T^iy\|\leq k_i\|x-y\|\)
Kirk, W. A. +2 more
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Asymptotic Properties of Monotonic Nonexpansive Mappings
Discrete Event Dynamic Systems, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Convergence of the Products of Firmly Nonexpansive Mappings
SIAM Journal on Optimization, 1992Consider a finite collection of firmly nonexpansive self-mappings on a Hilbert space whose fixed-point sets intersect. It is shown that, in the finite-dimensional case, any iteration of mappings drawn from this collection converges. This resolves, for the finite-dimensional case at least, a popular conjecture concerning the convergence of the ...
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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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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 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 Some Generalization of Multivalued Nonexpansive Mappings
Bulletin of the Iranian Mathematical Society, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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