Krasnoselskii type fixed point theorems and applications

Liu, Yicheng; Li, Zhixiang

doi:10.1090/S0002-9939-07-09190-3

Krasnoselskii type fixed point theorems and applications
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by Yicheng Liu and Zhixiang Li PDF

Proc. Amer. Math. Soc. 136 (2008), 1213-1220 Request permission

Abstract:

In this paper, we establish two fixed point theorems of Krasnoselskii type for the sum of $A+B$, where $A$ is a compact operator and $I-B$ may not be injective. Our results extend previous ones. As an application, we apply such results to obtain some existence results of periodic solutions for delay integral equations and then give three instructive examples.

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