In this paper we prove that if Y  is a separable proximinal subspace of X , then  Y  is strongly proximinal in X  if and only if Lϕ(μ,Y)  is strongly proximinal in Lϕ(μ,X) . where Lϕ(μ,X)  is an Orlicz function space with Luxemburg norm.

Title

Annals of Pure and Applied Mathematics

Publisher

house of scientific research

Publisher Country

India

Publication Type

Both (Printed and Online)

Volume

24

Year

2021

Pages

77-81