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Krasnoselskii type fixed point theorems and applications |
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| Authors: | Yicheng Liu Zhixiang Li |
| Affiliation: | Department of Mathematics and System Science, College of Science, National University of Defense Technology, Changsha, 410073, People's Republic of China. ; Department of Mathematics and System Science, College of Science, National University of Defense Technology, Changsha, 410073, People's Republic of China. |
| Abstract: | In this paper, we establish two fixed point theorems of Krasnoselskii type for the sum of  , where  is a compact operator and  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. |
| Keywords: | Fixed point theorem separate contraction mapping periodic solution multi-valued mapping delay integral equation. |
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