The purpose of the present paper is to introduce and investigate two new classes of continuous multifunctions called upper/lower $e$-$\I$-continuous multifunctions and upper/lower $\delta\beta_I$-continuous multifunctions by using the concepts of $e$-$\I$-open sets and $\delta\beta_I$-open sets. The class of upper/lower $e$-$\I$-continuous multifunctions is contained in that of upper/lower $\delta\beta_I$-continuous multifunctions. Several characterizations and fundamental properties concerning upper/lower $e$-$\I$-continuity and upper/lower $\delta\beta_I$-continuity are obtained.
@article{26193,
title = {New types of multifunctions in ideal topological spaces via $e$-$\I$-Open sets and $\delta\beta$-$\I$-Open sets},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {34},
year = {2015},
doi = {10.5269/bspm.v34i1.26193},
language = {EN},
url = {http://dml.mathdoc.fr/item/26193}
}
Al-omeri, Wadei Faris; Noorani, Mohammed S. Md.; Al-Omari, Ahmad; Noiri, Takashi. New types of multifunctions in ideal topological spaces via $e$-$\I$-Open sets and $\delta\beta$-$\I$-Open sets. Boletim da Sociedade Paranaense de Matemática, Tome 34 (2015) . doi : 10.5269/bspm.v34i1.26193. http://gdmltest.u-ga.fr/item/26193/