Best Approximation in Uniformity Type Spaces

Authors

  • A. Tallafha
  • Roshdi Rashid Khalil University of jordan

Keywords:

Best approximation, Uniform spaces.

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.

Author Biography

  • Roshdi Rashid Khalil, University of jordan
    mathematics/professor

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Published

2009-07-30

Issue

Section

Functional Analysis

How to Cite

Best Approximation in Uniformity Type Spaces. (2009). European Journal of Pure and Applied Mathematics, 2(2), 231-238. https://www.ejpam.com/index.php/ejpam/article/view/259