**Volume 17, Issue 2, pp 255-265**

**Publication Date**: 2017-06-15

http://dx.doi.org/10.22436/jmcs.017.02.07

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.

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.

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

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