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A survey for the Muskat problem and a new estimate
(Springer, 2017-03)
This paper shows a summary of mathematical results about the Muskat problem. The main concern is well-posed scenarios which include the possible formation of singularities in finite time or existence of solutions for all ...
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The asymptotic behavior of the composition of firmly nonexpansive mappings
(Springer, 2015-11)
In this paper we provide a unified treatment of some convex minimization problems, which allows for a better understanding and, in some cases, improvement of results in this direction proved recently in spaces of curvature ...
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Backward Φ-shifts and universality
(Elsevier, 2005-06-01)
In this paper we consider spaces of sequences which are valued in a topological space E and study generalized backward shifts associated to certain selfmappings of E. We characterize their universality in terms of dynamical ...
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Nonexpansive mappings and monotone vector fields in Hadamard manifolds
(Dynamic Publishers, 2009)
This paper briefly surveys some recent advances in the investigation of nonexpansive mappings and monotone vector fields, focusing in the extension of basic results of the classical nonlinear functional analysis from Banach ...
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Compositions and convex combinations of asymptotically regular firmly nonexpansive mappings are also asymptotically regular
(Springer, 2012)
Because of Minty’s classical correspondence between firmly nonexpansive mappings and maximally monotone operators, the notion of a firmly nonexpansive mapping has proven to be of basic importance in fixed point theory, ...
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Convergence rate of the dependent bootstrapped means
(Society for Industrial and Applied Mathematics, 2006)
In this paper, a Baum–Katz, Erdos, Hsu–Robbins, Spitzer type complete convergence result is obtained for the dependent bootstrapped means.
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The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors
(American Institute of Mathematical Sciences, 2017-09)
We prove an estimation of the Kolmogorov ε-entropy in H of the unitary ball in the space V, where H is a Hilbert space and V is a Sobolev-like subspace of H. Then, by means of Zelik’s result, an estimate of the fractal ...
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Álgebras de Abel
(Real Academia de Ciencias Exactas, Físicas y Naturales, 1974)
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A special type of triangulations in numerical nonlinear analysis
(Universitat de Barcelona, 1990)
To calculate the zeros of a map f : D ⊆ Rn → Rn we consider the class of triangulations of Rn so that a certain point belongs to a simplex of fixed diameter and dimension. In this paper two types of this new class of ...
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Cyclic behavior of linear fractional composition operators
(Universidad de Extremadura, 2001)