A new hyperspace topology and the study of the function space $\theta^*$-$LC(X,Y)$

Authors

  • S. Ganguly Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, INDIA Author
  • Sandip Jana Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, INDIA Author
  • Ritu Sen Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, INDIA Author

Keywords:

$\theta$-closed set, $H$-closed space, $H$-set, $\theta$-partially ordered space, $\theta^*$-lower semicontinuous functions, multifunctions

Subjects:

54B20, 54C35

Abstract

The intent of this paper is to introduce a newhyperspace topology on the collection of all $\theta$-closed subsetsof a topological space. The space of all $\theta^*$-lowersemicontinuous functions has been studied in detail and finally wedeal with some multifunctions.

Published

2009-07-15

Issue

Vol. 61 No. 3 (2009): Vol. 61, Issue 3

Section

Articles

License

Copyright (c) 2009 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.