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


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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