Best Approximation in Uniformity Type Spaces

A. Tallafha, Roshdi Rashid Khalil

Abstract

Let  X  be a set, and Γ be a collection of subsets of X×X. The object of this paper, is to define a semi-linear uniform space by assuming certain conditions on Γ. The structure of such spaces turned to be a very rich structure. We define closest elements from a given set to a given element in X. Then we study best approximation in semi-linear uniform spaces.

Keywords

Best approximation, Uniform spaces.

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