2023European Journal of Pure and Applied MathematicsOpen access

Upper and Lower $s\beta(\star)$-continuous Multifunctions

Chawalit Boonpok, Prapart Pue-on

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Abstract

Our main purpose is to introduce the concepts of upper and lower $s\beta(\star)$-continuous multifunctions. In particular, some characterizations of upper and lower $s\beta(\star)$-continuous multifunctions are investigated. Moreover, the relationships between $s\beta(\star)$-continuous multifunctions and almost $s\beta(\star)$-continuous multifunctions are discussed.

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What this paper is about

Our main purpose is to introduce the concepts of upper and lower $s\beta(\star)$-continuous multifunctions. In particular, some characterizations of upper and lower $s\beta(\star)$-continuous multifunctions are investigated. Moreover, the relationships between $s\beta(\star)$-continuous multifunctions and almost $s\beta(\star)$-continuous multifunctions are discussed.

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Available abstract

Our main purpose is to introduce the concepts of upper and lower $s\beta(\star)$-continuous multifunctions. In particular, some characterizations of upper and lower $s\beta(\star)$-continuous multifunctions are investigated. Moreover, the relationships between $s\beta(\star)$-continuous multifunctions and almost $s\beta(\star)$-continuous multifunctions are discussed.

Key concepts: Mathematics, Star (game theory), BETA (programming language), Combinatorics, Mathematical analysis, Computer science, Programming language

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