Upper and lower cl-supercontinuous multifunctions
[EN] 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. Example...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2013 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:riunet.upv.es:10251/87456 |
| Online Access: | https://riunet.upv.es/handle/10251/87456 |
| Access Level: | Open access |
| Keyword: | upper(lower)cl-supercontinuous multifunction strongly continuous multifunction upper(lower) perfectly continuous multifunction upper(lower) z-supercontinuous multifunction upper( lower) D-supercontinuous multifunction |
| Summary: | [EN] 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. |
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