Upper and lower cl-supercontinuous multifunctions
The notion of cl-supercontinuity ( clopen continuity) of functions is extended to the realm of multifunctions. Basic properties of upper(lower) cl-supercontinuous multifunctions are studied and their place in the hierarchy of strong variants of continuity of multifunctions is discussed. Examples are...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universitat Politècnica de València
2013-07-01
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| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/1608 |
| _version_ | 1818064280536219648 |
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| author | J.K. Kohli C.P. Arya |
| author_facet | J.K. Kohli C.P. Arya |
| author_sort | J.K. Kohli |
| collection | DOAJ |
| description | The notion of cl-supercontinuity ( clopen continuity) of functions is extended to the realm of multifunctions. Basic properties of upper(lower) cl-supercontinuous multifunctions are studied and their place in the hierarchy of strong variants of continuity of multifunctions is discussed. Examples are included to reflect upon the distinctiveness of upper (lower) cl-supercontinuity of multifunctions from that of othe rstrong variants of continuity of multifunctions which already exist in the literature. |
| first_indexed | 2024-12-10T14:33:29Z |
| format | Article |
| id | doaj.art-653f563bff6c4bdca01b4f0228b58770 |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-12-10T14:33:29Z |
| publishDate | 2013-07-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-653f563bff6c4bdca01b4f0228b587702022-12-22T01:44:54ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472013-07-0114111510.4995/agt.2013.16081314Upper and lower cl-supercontinuous multifunctionsJ.K. Kohli0C.P. Arya1University of DelhiUniversity of DelhiThe notion of cl-supercontinuity ( clopen continuity) of functions is extended to the realm of multifunctions. Basic properties of upper(lower) cl-supercontinuous multifunctions are studied and their place in the hierarchy of strong variants of continuity of multifunctions is discussed. Examples are included to reflect upon the distinctiveness of upper (lower) cl-supercontinuity of multifunctions from that of othe rstrong variants of continuity of multifunctions which already exist in the literature.http://polipapers.upv.es/index.php/AGT/article/view/1608upper(lower)cl-supercontinuous multifunctionstrongly continuous multifunctionupper(lower) perfectly continuous multifunctionupper(lower) z-supercontinuous multifunctionupper( lower) D-supercontinuous multifunction |
| spellingShingle | J.K. Kohli C.P. Arya Upper and lower cl-supercontinuous multifunctions Applied General Topology upper(lower)cl-supercontinuous multifunction strongly continuous multifunction upper(lower) perfectly continuous multifunction upper(lower) z-supercontinuous multifunction upper( lower) D-supercontinuous multifunction |
| title | Upper and lower cl-supercontinuous multifunctions |
| title_full | Upper and lower cl-supercontinuous multifunctions |
| title_fullStr | Upper and lower cl-supercontinuous multifunctions |
| title_full_unstemmed | Upper and lower cl-supercontinuous multifunctions |
| title_short | Upper and lower cl-supercontinuous multifunctions |
| title_sort | upper and lower cl supercontinuous multifunctions |
| topic | upper(lower)cl-supercontinuous multifunction strongly continuous multifunction upper(lower) perfectly continuous multifunction upper(lower) z-supercontinuous multifunction upper( lower) D-supercontinuous multifunction |
| url | http://polipapers.upv.es/index.php/AGT/article/view/1608 |
| work_keys_str_mv | AT jkkohli upperandlowerclsupercontinuousmultifunctions AT cparya upperandlowerclsupercontinuousmultifunctions |