Results 21 to 30 of about 7,743 (177)
Fixed Point Theory and Applications, 2010 We prove strong convergence theorems for countable families of asymptotically nonexpansive mappings and semigroups in Hilbert spaces. Our results extend and improve the recent results of Nakajo and Takahashi (2003) and of Zegeye and Shahzad (2008) from ...
Kumam Poom, Wattanawitoon Kriengsak
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Cross-connections and variants of the full transformation semigroup [PDF]
, 2017 Cross-connection theory propounded by K. S. S. Nambooripad describes the ideal structure of a regular semigroup using the categories of principal left (right) ideals.
Muhammed, P. A. Azeef
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On the semigroup of differentiable mappings (II) [PDF]
Glasgow Mathematical Journal, 1972 In [2], K. D. Magill, Jr. has proved that every automorphism of the semigroup (with respect to composition) of all real-valued differentiable functions of a real variable is inner. The purpose of this paper is to generalize this fact to arbitrary finite-dimensional real Banach spaces.
Wood, G. R., Yamamuro, Sadayuki
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Common fixed points for semigroups of mappings [PDF]
Proceedings of the American Mathematical Society, 1973 Let X be a compact convex subset of a strictly convex Banach space. Let S be a Hausdorff topological semigroup which is either left amenable or left reversible. Then for any generalised nonexpansive (jointly) continuous action of S on X, X contains a common fixed point of S.
Lau, Anthony To-Ming, Wong, Chi Song
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Metric domains, holomorphic mappings and nonlinear semigroups
Abstract and Applied Analysis, 1998 We study nonlinear semigroups of holomorphic mappings on certain domains in complex Banach spaces. We examine, in particular, their differentiability and their representations by exponential and other product formulas.
Simeon Reich, David Shoikhet
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Maximal subsemigroups of the semigroup of all mappings on an infinite set [PDF]
, 2013 In this paper we classify the maximal subsemigroups of the \emph{full transformation semigroup} $\Omega^\Omega$, which consists of all mappings on the infinite set $\Omega$, containing certain subgroups of the symmetric group $\sym(\Omega)$ on $\Omega ...
East, J., Mitchell, J. D., Péresse, Y.
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Semigroups of constant maps [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1985 AbstractIn this paper “a map” denotes an arbitrary (everywhere defined, or partial, or even multi-valued) mapping. A map is constant if any two elements belonging to its domain have precisely the same images under this map. We characterize those semigroups which can be isomorphic to semigroups of constant maps or to involuted semigroups of constant ...
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Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space
Abstract and Applied Analysis, 2000 We introduce the notion of asymptotically almost nonexpansive curves which include almost-orbits of commutative semigroups of asymptotically nonexpansive type mappings and study the asymptotic behavior and prove nonlinear ergodic theorems for such curves.
Gang Li, Jong Kyu Kim
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A note on Kakutani type fixed point theorems
International Journal of Mathematics and Mathematical Sciences, 2000 We present Kakutani type fixed point theorems for certain semigroups of self maps by relaxing conditions on the underlying set, family of self maps, and the mappings themselves in a locally convex space setting.
A. R. Khan, N. Hussain, L. A. Khan
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On Maximal Subgroups of Free Idempotent Generated Semigroups [PDF]
, 2011 We prove the following results: (1) Every group is a maximal subgroup of some free idempotent generated semigroup. (2) Every finitely presented group is a maximal subgroup of some free idempotent generated semigroup arising from a finite semigroup.
Gray, Robert, Ruskuc, Nik
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