Fixed point results for multivalued mapping with closed graphs in generalized Banach spaces

Fixed point results for multivalued mapping with closed graphs in generalized Banach spaces

In this paper, by establishing a new characterization of the notion of upper semi-continuity of multi-valued mappings in generalized Banach spaces, we prove some Perov type fixed point theorems for multi-valued mappings with closed graphs. Moreover, we derive some Krasnoselskii's fixe point res...

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Hauptverfasser: Amara, Khaled Ben, Jeribi, Aref, Kaddachi, Najib, Laouar, Zahra
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Functional Analysis
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Zusammenfassung:In this paper, by establishing a new characterization of the notion of upper semi-continuity of multi-valued mappings in generalized Banach spaces, we prove some Perov type fixed point theorems for multi-valued mappings with closed graphs. Moreover, we derive some Krasnoselskii's fixe point results for multi-valued mappings in generalized Banach spaces. Our results are applied to a large class of nonlinear inclusions systems.
DOI:10.48550/arxiv.2207.02145