New fixed point theorems and applications of mixed monotone operator

By Yuexiang Wu. 2008

59 citations recorded by the source corpus.

In this paper, we study the uniqueness and existence of fixed point of mixed monotone operators in the partially ordered Banach space. The results extend and improve recent related results.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f9baa38a8177d8762ef8c0a7b3bfc4f3f98c6274

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In Applied Mathematics

1. Lishan Liu
2. Yonghong Wu
3. Xinqiu Zhang
4. Juan Jiang
5. Xinguang Zhang
6. Yujun Cui

In Computational Theory and Mathematics

1. Lishan Liu
2. Yonghong Wu

In Geometry and Topology

1. Lishan Liu
2. Yonghong Wu
3. Xinqiu Zhang
4. Juan Jiang

Citations in the corpus

• The unique solution of a class of sum mixed monotone operator equations and its application to fractional boundary value problems (2016, background): “(see [39]), and also obtained a lot of important results on mixed monotone operators (see [1, 2, 7, 8, 11, 13, 16, 17, 21, 22, 23, 24, 27, 28, 29, 31, 32, 38]).”