{"title":"On Upper and Lower (,)-Continuous Multifunctions","authors":"C. Boonpok","doi":"10.1155/2012/931656","DOIUrl":null,"url":null,"abstract":"A new class of multifunctions, called upper (lower) 𝛽(𝜇𝑋,𝜇𝑌)-continuous multifunctions, has been defined and studied. Some characterizations and several properties concerning upper (lower) 𝛽(𝜇𝑋,𝜇𝑌)-continuous multifunctions are obtained. The relationships between upper (lower) 𝛽(𝜇𝑋,𝜇𝑌)-continuous multifunctions and some known concepts are also discussed.","PeriodicalId":39893,"journal":{"name":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2012-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2012/931656","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
A new class of multifunctions, called upper (lower) 𝛽(𝜇𝑋,𝜇𝑌)-continuous multifunctions, has been defined and studied. Some characterizations and several properties concerning upper (lower) 𝛽(𝜇𝑋,𝜇𝑌)-continuous multifunctions are obtained. The relationships between upper (lower) 𝛽(𝜇𝑋,𝜇𝑌)-continuous multifunctions and some known concepts are also discussed.
期刊介绍：
The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.
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