Results 81 to 90 of about 4,222,348 (161)

A strong law of large numbers for independent compactly uniformly integrable random sets [PDF]

open access: yesArab Journal of Mathematical Sciences
PurposeThe aim of this work is to prove a strong law of large numbers for a sequence of independent compactly uniformly integrable random sets with values in the family of convex closed subsets of a separable Banach space E, again without requiring any ...
Mohammed El Allali   +2 more
doaj   +1 more source

Existence and decay of solutions of some nonlinear parabolic variational inequalities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
This paper discusses the existence and decay of solutions u(t) of the variational inequality of parabolic type: ≧0for ∀v∈Lp([0,∞);V)(p≧2) with v(t)∈K a.e.
Mitsuhiro Nakao, Takashi Narazaki
doaj   +1 more source

Strong Convergence Theorems of Viscosity Iterative Methods for a Countable Family of Strict Pseudo-contractions in Banach Spaces

open access: yesFixed Point Theory and Applications, 2010
For a countable family of strictly pseudo-contractions, a strong convergence of viscosity iteration is shown in order to find a common fixed point of in either a p-uniformly convex Banach space which admits a weakly continuous duality mapping or a p-
Wangkeeree Rabian, Kamraksa Uthai
doaj  

Complex uniformly convex Banach spaces and Riesz measures.

open access: yes, 2004
The norm on a Banach space gives rise to a subharmonic function on the complex plane for which the distributional Laplacian gives a Riesz measure. This measure is calculated explicitly here for Lebesgue Lp spaces and the von~Neumann-Schatten trace ideals.
Ransford, T. J., Blower, Gordon
core   +4 more sources

Equilibria in reflexive Banach lattices with a continuum of agents. [PDF]

open access: yes
We consider exchange economies with a measure space of agents and for which the commodity space is a separable and reflexive Banach lattice. Under assumptions imposing uniform bounds on marginal rates of substitution, positive results on core-Walras ...
Monteiro, Paulo K.   +2 more
core  

Denseness of Numerical Radius Attaining Holomorphic Functions

open access: yesJournal of Inequalities and Applications, 2009
We study the density of numerical radius attaining holomorphic functions on certain Banach spaces using the Lindenstrauss method. In particular, it is shown that if a complex Banach space X is locally uniformly convex, then the set of all numerical ...
Han Ju Lee
doaj   +1 more source

Concentration of the distance between points in the unit ball [PDF]

open access: yes, 1998
We prove that in every finite dimensional normed space, for “most” pairs (x, y) of points in the unit ball, ║x − y║ is more than √2(1 − ε). As a consequence, we obtain a result proved by Bourgain, using QS-decomposition, that guarantees an exponentially ...
Villa, R, Ball, KM
core  

Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings

open access: yesFixed Point Theory and Applications, 2008
We prove that a sequence generated by the monotone CQ-method converges strongly to a common fixed point of a countable family of relatively quasi-nonexpansive mappings in a uniformly convex and uniformly smooth Banach space. Our result is applicable to a
Satit Saejung, Weerayuth Nilsrakoo
doaj   +1 more source

Existence of sunny nonexpansive retractions and approximation of fixed points of a representation of nonexpansive mappings

open access: yesNonlinear Analysis
This paper presents an implicit scheme for a representation of nonexpansive mappings on a closed convex subset of a smooth uniformly convex Banach space with respect to a left-regular sequence of means defined on a subset of l∞(S).
Ebrahim Soori   +2 more
doaj   +1 more source

Ornstein-Uhlenbeck processes in Banach spaces and their spectral representations. [PDF]

open access: yes, 2002
For Q the variance of some centred Gaussian random vector in a separable Banach space it is shown that, necessarily, Q factors through $\ell^2$ as a product of 2-summing operators.
Groves, James S.
core  

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