| Autor: |
Sewalem Ghanem |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
AIMS Mathematics, Vol 7, Iss 10, Pp 18662-18674 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.20221026?viewType=HTML |
| Popis: |
In this paper, we introduce and study α-irresolute multifunctions, and some of their properties are studied. The properties of α-compactness and α-normality under upper α-irresolute multifunctions are topological properties. Also, we prove that the composition of two upper and lower α-irresolute multifunctions is α-irresolute. We apply the results of α-irresolute multifunctions to topological games. Upper and lower topological games are introduced. The set of places for player ONE in upper topological games may guarantee a gain is semi-closed. Finally, some optimal strategies for topological games are defined and studied. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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