| A new hyperspace topology and the study of the function space $\theta^*$-$LC(X,Y)$ |
| S. Ganguly, Sandip Jana and Ritu Sen |
Abstract The intent of this paper is to introduce a new hyperspace topology on the collection of all $\theta$-closed subsets of a topological space. The space of all $\theta^*$-lower semicontinuous functions has been studied in detail and finally we deal with some multifunctions.
|
Keywords: $\theta$-closed set; $H$-closed space; $H$-set; $\theta$-partially ordered space; $\theta^*$-lower semicontinuous functions; multifunctions. |
MSC: 54B20, 54C35 |
Pages: 181$-$193 |
Volume 61 , Issue 3 , 2009 |
