New Types of Multifunctions in ideal Topological Spaces via $e$-$\I$-Open sets and $\delta\beta$-$\I$-Open Sets | Zendy

Wadei Al-Omeri | Zendy; Mohammed S. Md. Noorani | Zendy; Ahmad Al-Omari | Zendy; Takashi Noiri | Zendy

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New Types of Multifunctions in ideal Topological Spaces via $e$-$\I$-Open sets and $\delta\beta$-$\I$-Open Sets

Author(s) -

Wadei Al-Omeri,

Mohammed S. Md. Noorani,

Ahmad Al-Omari,

Takashi Noiri

Publication year - 2015

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

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