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A NOVEL FIXED POINT THEOREM AND ITS APPLICATIONS |
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| Authors: | Chengbo Zhai Chunmei Guo |
| Affiliation: | aDepartment of Mathematics, Shanxi University, Taiyuan 030006, China |
| Abstract: | In this article, a novel fixed point theorem in C[0, 1] space is established by using the properties of fixed point index. This theorem is then applied to prove the existence of positive solutions for three-point boundary value problems and generalizes some previous results. |
| Keywords: | Fixed point cone positive solution three-point boundary value problem |
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