Results 171 to 180 of about 3,848 (206)

On Asymptotically Nonexpansive Semigroups of Mappings

Canadian Mathematical Bulletin, 1970
A selfmapping f of a metric space (X, d) is nonexpansive (ε-nonexpansive) if d(f(x), f(y)) ≤ d(x, y) for all x, y ∊ X (respectively if d(x, y) < ε). In [1], M.
Holmes, R. D., Narayanaswami, P. P.
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Fixed points of nonexpansive and quasi-nonexpansive mappings

The Journal of Analysis, 2018
As answers to open questions raised by \textit{V. Colao} and \textit{G. Marino} [Fixed Point Theory Appl. 2015, Paper No. 39, 7 p. (2015; Zbl 1307.47077)], the authors show strong and weak convergence of the iterated sequence by the Krasnoselskii-Mann algorithm for a countable family of (quasi-)nonexpansive non-self mappings satisfying a weakly inward ...
Narayanan, M. Sankara, Marudai, M.
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Viscosity approximation methods for nonexpansive nonself-mappings

Journal of Mathematical Analysis and Applications, 2006
Let E a real reflexive Banach space which admits a weakly sequentially continuous duality mapping from E to E∗, and K be a closed convex subset of E which is also a sunny nonexpansive retract of E, and T:K→E be nonexpansive mappings satisfying the weakly
Yisheng Song, Rudong Chen
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On L-$$\omega $$-Nonexpansive Maps

Results in Mathematics
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C. S. Barroso, J. V. Bedoya, C. S. R. da Silva   +2 more
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Asymptotic Properties of Monotonic Nonexpansive Mappings

Discrete Event Dynamic Systems, 2004
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On the Convergence of the Products of Firmly Nonexpansive Mappings

SIAM Journal on Optimization, 1992
Consider 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, 2019
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Grzesik, Aleksandra, Kaczor, Wiesława, Kuczumow, Tadeusz, Reich, Simeon   +3 more
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Successive Averages of Firmly Nonexpansive Mappings

Mathematics of Operations Research, 1995
The 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, 2011
Let 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

1997
Summary: 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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