A Bundle Representation for Continuous Geometries

Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces

This paper introduces an implicit scheme for a   continuous representation of nonexpansive mappings on a closed convex subset of a Hilbert space with respect to a   sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup.   The main result is to    prove the strong convergence of the proposed implicit scheme to the unique solutio...

A Representation Framework for Continuous Dynamic Systems

A minimal representation for continuous functions

This paper presents a variation of a celebrated result of Kawamura and Cook specifying the least set of information about a continuous function on the unit interval which is needed for fast function evaluation. To make the above description precise, one has to specify what is considered a ‘set of information’ about a function and what ‘fast’ means. Kawamura and Cook use secondorder complexity t...

The affine representation theorem for abstract convex geometries

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approximation of fixed points for a continuous representation of nonexpansive mappings in hilbert spaces

this paper introduces an implicit scheme for a   continuous representation of nonexpansive mappings on a closed convex subset of a hilbert space with respect to a   sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup.   the main result is to    prove the strong convergence of the proposed implicit scheme to the unique solutio...