In the present paper, the concepts of s-closed sub-spaces, locally s-closed spaces have been introduced and characterized. We have seen that local s-closedness is a semi-regular property; the concept of s-θ-closed mapping has been introduced here and the following important properties are established:-Let f : X —> Y be an s-θ-closed surjection with s-set (Maio and Noin [8]) point inverses. Then : If f is completely continuous (Arya and Gupta [1])) and Y is a locally compact T2-space, then, X is locally s-closed. If f is y-continuous (Ganguly and Basu [5]) and X is a locally compact Τ2-space, then, Y is locally s-closed. © 1996, Hindawi Publishing Corporation. All rights reserved.