R-continuous functions
A strong form of continuity of functions between topological spaces is introduced and studied. It is shown that in many known results, especially closed graph theorems, functions under consideration are R-continuous. Several results in the literature concerning strong continuity properties are gener...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171292000073 |
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| _version_ | 1832561537756168192 |
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| author | Ch. Konstadilaki-Savvapoulou D. Janković |
| author_facet | Ch. Konstadilaki-Savvapoulou D. Janković |
| author_sort | Ch. Konstadilaki-Savvapoulou |
| collection | DOAJ |
| description | A strong form of continuity of functions between topological spaces is introduced and studied. It is shown that in many known results, especially closed graph theorems, functions under consideration are R-continuous. Several results in the literature concerning strong continuity properties are generalized and/or improved. |
| format | Article |
| id | doaj-art-f39457f9c4864169b3e3f9985a9a7289 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f39457f9c4864169b3e3f9985a9a72892025-02-03T01:24:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-01151576410.1155/S0161171292000073R-continuous functionsCh. Konstadilaki-Savvapoulou0D. Janković1Department of Mathematics and Statistics, University of Auckland, Auckland, New ZealandDepartment of Mathematics and Statistics, University of Auckland, Auckland, New ZealandA strong form of continuity of functions between topological spaces is introduced and studied. It is shown that in many known results, especially closed graph theorems, functions under consideration are R-continuous. Several results in the literature concerning strong continuity properties are generalized and/or improved.http://dx.doi.org/10.1155/S0161171292000073R-continuitycontinuityclosed graph propertyrim compactness. |
| spellingShingle | Ch. Konstadilaki-Savvapoulou D. Janković R-continuous functions International Journal of Mathematics and Mathematical Sciences R-continuity continuity closed graph property rim compactness. |
| title | R-continuous functions |
| title_full | R-continuous functions |
| title_fullStr | R-continuous functions |
| title_full_unstemmed | R-continuous functions |
| title_short | R-continuous functions |
| title_sort | r continuous functions |
| topic | R-continuity continuity closed graph property rim compactness. |
| url | http://dx.doi.org/10.1155/S0161171292000073 |
| work_keys_str_mv | AT chkonstadilakisavvapoulou rcontinuousfunctions AT djankovic rcontinuousfunctions |