-Correspondences: The inclusion .
The paper investigates the nonlinear function spaces introduced by Giaquinta, Modica and Souček. It is shown that a function from is approximated by functions strongly in whenever . An example is shown of a function which is in but not in .
Let be a completely regular Hausdorff space and a real normed space. We examine the general properties of locally solid topologies on the space of all -valued continuous and bounded functions from into . The mutual relationship between locally solid topologies on and
Locally solid topologies on vector valued function spaces are studied. The relationship between the solid and topological structures of such spaces is examined.