OPEN PROBLEMS IN SEMI-LINEAR UNIFORM SPACES.

Semi-linear uniform space is a new space defined by Tallafha. A and Khalil, R in [7]. The authors studied some cases of best approximation in such spaces, and gave some open problems in uniform spaces. Besides they defined a set valued map ρ on X x X and asked two questions about the properties of ρ. In 2011, Tallafha [8] defined another set valued map δ on X x X, and give more properties of semi-linear uniform spaces using the maps ρ, δ and he answered the questions about ρ. The purpose of this paper is to introduce some open questions concerning this new spaces. [ABSTRACT FROM AUTHOR]