Open AccessNew Types of Multifunctions in ideal Topological Spaces via $e$-$\I$-Open sets and $\delta\beta$-$\I$-Open Sets
Author(s) -
Wadei Al-Omeri,
Mohd Salmi Md Noorani,
Ahmad Al-Omari,
Takashi Noiri
Publication year - 2016
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v34i1.26193
Subject(s) - mathematics , upper and lower bounds , beta (programming language) , ideal (ethics) , combinatorics , topology (electrical circuits) , discrete mathematics , mathematical analysis , computer science , philosophy , epistemology , programming language
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