On Upper and Lower ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-Continuous Multifunctions

A new class of multifunctions, called upper (lower) ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-continuous multifunctions, has been defined and studied. Some characterizations and several properties concerning upper (lower) ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-continuous multifunctions are obtained. The relationships between upper (lower) ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-continuous mu...

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Main Author: Chawalit Boonpok
Format: Article
Language:English
Published: Wiley 2012-01-01
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) ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-continuous multifunctions, has been defined and studied. Some characterizations and several properties concerning upper (lower) ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-continuous multifunctions are obtained. The relationships between upper (lower) ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-continuous multifunctions and some known concepts are also discussed.
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spelling doaj-art-a957e7d1bfd44f18a3f117b37fadac6a2025-02-03T05:58:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/931656931656On Upper and Lower ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-Continuous MultifunctionsChawalit Boonpok0Department of Mathematics, Faculty of Science, Mahasarakham University, Mahasarakham 44150, ThailandA new class of multifunctions, called upper (lower) ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-continuous multifunctions, has been defined and studied. Some characterizations and several properties concerning upper (lower) ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-continuous multifunctions are obtained. The relationships between upper (lower) ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-continuous multifunctions and some known concepts are also discussed.http://dx.doi.org/10.1155/2012/931656
spellingShingle Chawalit Boonpok
On Upper and Lower ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-Continuous Multifunctions
International Journal of Mathematics and Mathematical Sciences
title On Upper and Lower ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-Continuous Multifunctions
title_full On Upper and Lower ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-Continuous Multifunctions
title_fullStr On Upper and Lower ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-Continuous Multifunctions
title_full_unstemmed On Upper and Lower ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-Continuous Multifunctions
title_short On Upper and Lower ๐›ฝ(๐œ‡๐‘‹,๐œ‡๐‘Œ)-Continuous Multifunctions
title_sort on upper and lower ๐›ฝ ๐œ‡๐‘‹ ๐œ‡๐‘Œ continuous multifunctions
url http://dx.doi.org/10.1155/2012/931656
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