Characterizations of upper and lower \(\alpha(\mu_X,\mu_Y)\)-continuous multifunctions

Volume 17, Issue 2, pp 255-265 http://dx.doi.org/10.22436/jmcs.017.02.07

Publication Date: June 15, 2017 Submission Date: September 20, 2016

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Authors

Napassanan Srisarakham - Mathematics and Applied Mathematics Research Unit, Department of Mathematics, Faculty of Science, Mahasarakham University, Mahasarakham, Thailand. Chawalit Boonpok - Mathematics and Applied Mathematics Research Unit, Department of Mathematics, Faculty of Science, Mahasarakham University, Mahasarakham, Thailand.

Abstract

A new class of multifunctions, called upper (lower) \(\alpha(\mu_X,\mu_Y)\)-continuous multifunctions, has been defined and studied. Some characterizations and several properties concerning upper (lower) \(\alpha(\mu_X,\mu_Y)\)-continuous multifunctions are obtained.

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Keywords

• Generalized topological space
• \(\mu-\alpha\)-open
• upper \(\alpha(\mu_X،\mu_Y)\)-continuous multifunction
• lower \(\alpha(\mu_X،\mu_Y)\)-continuous multifunction.

MSC

•  54A05
•  54C08

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