An approximation theorem for continuous functions on Lp(1 ⩽ p < ∞) spaces including representation

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...

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 Theorem on Continuous Functions in Abstract Spaces

In this note the following Theorem A concerning continuous functions in a very general abstract space is established, and from this theorem are deduced certain results concerning semi-metric spaces. In particular, Theorems 2.2 and 2.3 below generalize a theorem proved by Montgomery concerning the behavior of the distances between points of a metric space under transformations of the space into ...

P-adic Spaces of Continuous Functions II

Necessary and sufficient conditions are given so that the space C(X, E) of all continuous functions from a zero-dimensional topological space X to a nonArchimedean locally convex space E, equipped with the topology of uniform convergence on the compact subsets of X, to be polarly absolutely quasi-barrelled, polarly אo-barrelled, polarly `∞-barrelled or polarly co-barrelled. Also, tensor product...

Some Results on p-Best Approximation in Vector Spaces