Characterizations of Rarely $g$-Continuous Multifunctions

In 1979, Popa [15] introduced the notion of rare continuity. Quite recently, the authors [3] introduced and investigated a new class of functions called rarely $g$-continuous functions as a generalization of both rare continuity and weak $g$-continuity [5]. In this paper, we introduce and study the...

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Published inSarajevo journal of mathematics Vol. 1; no. 1; pp. 129 - 133
Main Authors Caldas, M., Jafari, S., Noiri, T.
Format Journal Article
LanguageEnglish
Published 12.06.2024
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Summary:In 1979, Popa [15] introduced the notion of rare continuity. Quite recently, the authors [3] introduced and investigated a new class of functions called rarely $g$-continuous functions as a generalization of both rare continuity and weak $g$-continuity [5]. In this paper, we introduce and study the new notion of upper (lower) rarely $g$-continuous multifunctions as a generalization of upper (lower) weakly continuous multifunctions [13].   2000 Mathematics Subject Classification. 54C60, 54C08; Secondary: 54D05
ISSN:1840-0655
2233-1964
DOI:10.5644/SJM.01.1.11