Results 11 to 20 of about 530 (201)

Metric domains, holomorphic mappings and nonlinear semigroups

open access: yesAbstract 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
doaj   +2 more sources

Commuting semigroups of holomorphic mappings

open access: yesMATHEMATICA SCANDINAVICA, 2008
Let $S_{1}=\left\{F_t\right\}_{t\geq 0}$ and $S_{2}=\left\{G_t\right\}_{t\geq 0}$ be two continuous semigroups of holomorphic self-mappings of the unit disk $\Delta=\{z:|z|<1\}$ generated by $f$ and $g$, respectively. We present conditions on the behavior of $f$ (or $g$) in a neighborhood of a fixed point of $S_{1}$ (or $S_{2}$), under which the ...
Elin, M.   +3 more
core   +5 more sources

Attractors of Compactly Generated Semigroups of Regular Polynomial Mappings [PDF]

open access: yesComplexity, 2018
We investigate the metric space of pluriregular sets as well as the contractions on that space induced by infinite compact families of proper polynomial mappings of several complex variables.
Azza Alghamdi   +2 more
doaj   +2 more sources

Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2018
It has been a long-standing problem posed by the first author in a conference in Marseille in 1990 to characterize semitopological semigroups which have common fixed point property when acting on a nonempty weak* compact convex subset of a dual Banach ...
Anthony To-Ming Lau, Yong Zhang
doaj   +3 more sources

Common Solutions of Generalized Mixed Equilibrium Problems, Variational Inclusions, and Common Fixed Points for Nonexpansive Semigroups and Strictly Pseudocontractive Mappings [PDF]

open access: yesJournal of Applied Mathematics, 2011
We introduce a new iterative scheme by shrinking projection method for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of common solutions of variational inclusion problems with set-valued maximal ...
Poom Kumam   +2 more
doaj   +2 more sources

Fixed point property for nonexpansive mappings and nonexpansive semigroups on the unit disk

open access: yesRevista Integración, 2015
For closed convex subsets D of a Banach spaces, in 2009, Tomonari Suzuki [11] proved that the fixed point property (FPP) for nonexpansive mappings and the FPP for nonexpansive semigroups are equivalent.
Luis Benítez-Babilonia
doaj   +2 more sources

Strong convergence theorem for amenable semigroups of nonexpansive mappings and variational inequalities

open access: yesFixed Point Theory and Applications, 2011
In this paper, using strongly monotone and lipschitzian operator, we introduce a general iterative process for finding a common fixed point of a semigroup of nonexpansive mappings, with respect to strongly left regular sequence of means defined on an ...
Piri Hossein, Badali Ali
doaj   +2 more sources

Generating continuous mappings with Lipschitz mappings [PDF]

open access: yes, 2007
If X is a metric space, then C-X and L-X denote the semigroups of continuous and Lipschitz mappings, respectively, from X to itself. The relative rank of C-X modulo L-X is the least cardinality of any set U\L-X where U generates C-X. For a large class of
Mitchell, James David   +2 more
core   +1 more source

Strong Convergence to Common Fixed Points for Countable Families of Asymptotically Nonexpansive Mappings and Semigroups

open access: yesFixed 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
doaj   +2 more sources

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