MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
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.

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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