论文标题

固定点的结果,用于封闭图的多估映射在广义Banach空间中

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

论文作者

Amara, Khaled Ben, Jeribi, Aref, Kaddachi, Najib, Laouar, Zahra

论文摘要

在本文中,通过建立广义Banach空间中多价映射的上半持续点的概念的新表征,我们证明了一些带有封闭图的多值映射的Perov类型固定点定理。此外,我们得出了一些Krasnoselskii的固定点结果,用于广义Banach空间中的多价映射。我们的结果应用于大型的非线性夹杂物系统。

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.

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