On Upper and Lower ๐ฝ(๐๐,๐๐)-Continuous Multifunctions
A new class of multifunctions, called upper (lower) ๐ฝ(๐๐,๐๐)-continuous multifunctions, has been defined and studied. Some characterizations and several properties concerning upper (lower) ๐ฝ(๐๐,๐๐)-continuous multifunctions are obtained. The relationships between upper (lower) ๐ฝ(๐๐,๐๐)-continuous mu...
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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2012/931656 |
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author | Chawalit Boonpok |
author_facet | Chawalit Boonpok |
author_sort | Chawalit Boonpok |
collection | DOAJ |
description | A new class of multifunctions, called upper (lower) ๐ฝ(๐๐,๐๐)-continuous multifunctions, has been defined and studied. Some characterizations and several properties concerning upper (lower) ๐ฝ(๐๐,๐๐)-continuous multifunctions are obtained. The relationships between upper (lower) ๐ฝ(๐๐,๐๐)-continuous multifunctions and some known concepts are also discussed. |
format | Article |
id | doaj-art-a957e7d1bfd44f18a3f117b37fadac6a |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Mathematics and Mathematical Sciences |
spelling | doaj-art-a957e7d1bfd44f18a3f117b37fadac6a2025-02-03T05:58:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/931656931656On Upper and Lower ๐ฝ(๐๐,๐๐)-Continuous MultifunctionsChawalit Boonpok0Department of Mathematics, Faculty of Science, Mahasarakham University, Mahasarakham 44150, ThailandA new class of multifunctions, called upper (lower) ๐ฝ(๐๐,๐๐)-continuous multifunctions, has been defined and studied. Some characterizations and several properties concerning upper (lower) ๐ฝ(๐๐,๐๐)-continuous multifunctions are obtained. The relationships between upper (lower) ๐ฝ(๐๐,๐๐)-continuous multifunctions and some known concepts are also discussed.http://dx.doi.org/10.1155/2012/931656 |
spellingShingle | Chawalit Boonpok On Upper and Lower ๐ฝ(๐๐,๐๐)-Continuous Multifunctions International Journal of Mathematics and Mathematical Sciences |
title | On Upper and Lower ๐ฝ(๐๐,๐๐)-Continuous Multifunctions |
title_full | On Upper and Lower ๐ฝ(๐๐,๐๐)-Continuous Multifunctions |
title_fullStr | On Upper and Lower ๐ฝ(๐๐,๐๐)-Continuous Multifunctions |
title_full_unstemmed | On Upper and Lower ๐ฝ(๐๐,๐๐)-Continuous Multifunctions |
title_short | On Upper and Lower ๐ฝ(๐๐,๐๐)-Continuous Multifunctions |
title_sort | on upper and lower ๐ฝ ๐๐ ๐๐ continuous multifunctions |
url | http://dx.doi.org/10.1155/2012/931656 |
work_keys_str_mv | AT chawalitboonpok onupperandlowerฮฒฮผxฮผycontinuousmultifunctions |