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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Bibliographic Details
Published in:arXiv.org 2024-07
Main Authors: Khaled Ben Amara, Jeribi, Aref, Kaddachi, Najib, Laouar, Zahra
Format: Article
Language:English
Subjects:
Banach spaces
Fixed points (mathematics)
Graphs
Inclusions
Nonlinear systems
Online Access:Get full text
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Summary: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.
ISSN:2331-8422